Thermal relaxation for particle systems in interaction with several bosonic heat reservoirs

The present thesis is concerned with the study of a quantum physical system composed of a small particle system (such as a spin chain) and several quantized massless boson fields (as photon gasses or phonon fields) at positive temperature. The setup serves as a simplified model for matter in interaction with thermal "radiation" from different sources. Hereby, questions concerning the dynamical and thermodynamic properties of particle-boson configurations far from thermal equilibrium are in the center of interest. We study a specific situation where the particle system is brought in contact with the boson systems (occasionally referred to as heat reservoirs) where the reservoirs are prepared close to thermal equilibrium states, each at a different temperature. We analyze the interacting time evolution of such an initial configuration and we show thermal relaxation of the system into a stationary state, i.e., we prove the existence of a time invariant state which is the unique limit state of the considered initial configurations evolving in time. As long as the reservoirs have been prepared at different temperatures, this stationary state features thermodynamic characteristics as stationary energy fluxes and a positive entropy production rate which distinguishes it from being a thermal equilibrium at any temperature. Therefore, we refer to it as non-equilibrium stationary state or simply NESS. The physical setup is phrased mathematically in the language of C*-algebras. The thesis gives an extended review of the application of operator algebraic theories to quantum statistical mechanics and introduces in detail the mathematical objects to describe matter in interaction with radiation. The C*-theory is adapted to the concrete setup. The algebraic description of the system is lifted into a Hilbert space framework. The appropriate Hilbert space representation is given by a bosonic Fock space over a suitable L2-space. The first part of the present work is concluded by the derivation of a spectral theory which connects the dynamical and thermodynamic features with spectral properties of a suitable generator, say K, of the time evolution in this Hilbert space setting. That way, the question about thermal relaxation becomes a spectral problem. The operator K is of Pauli-Fierz type. The spectral analysis of the generator K follows. This task is the core part of the work and it employs various kinds of functional analytic techniques. The operator K results from a perturbation of an operator L0 which describes the non-interacting particle-boson system. All spectral considerations are done in a perturbative regime, i.e., we assume that the strength of the coupling is sufficiently small. The extraction of dynamical features of the system from properties of K requires, in particular, the knowledge about the spectrum of K in the nearest vicinity of eigenvalues of the unperturbed operator L0. Since convergent Neumann series expansions only qualify to study the perturbed spectrum in the neighborhood of the unperturbed one on a scale of order of the coupling strength we need to apply a more refined tool, the Feshbach map. This technique allows the analysis of the spectrum on a smaller scale by transferring the analysis to a spectral subspace. The need of spectral information on arbitrary scales requires an iteration of the Feshbach map. This procedure leads to an operator-theoretic renormalization group. The reader is introduced to the Feshbach technique and the renormalization procedure based on it is discussed in full detail. Further, it is explained how the spectral information is extracted from the renormalization group flow. The present dissertation is an extension of two kinds of a recent research contribution by Jakšić and Pillet to a similar physical setup. Firstly, we consider the more delicate situation of bosonic heat reservoirs instead of fermionic ones, and secondly, the system can be studied uniformly for small reservoir temperatures. The adaption of the Feshbach map-based renormalization procedure by Bach, Chen, Fröhlich, and Sigal to concrete spectral problems in quantum statistical mechanics is a further novelty of this work.

Convergence results for stochastic particle systems with social interaction

We consider stochastic individual-based models for social behaviour of groups of animals. In these models the trajectory of each animal is given by a stochastic differential equation with interaction. The social interaction is contained in the drift term of the SDE. We consider a global aggregation force and a short-range repulsion force. The repulsion range and strength gets rescaled with the number of animals N. We show that for N tending to infinity stochastic fluctuations disappear and a smoothed version of the empirical process converges uniformly towards the solution of a nonlinear, nonlocal partial differential equation of advection-reaction-diffusion type. The rescaling of the repulsion in the individual-based model implies that the corresponding term in the limit equation is local while the aggregation term is non-local. Moreover, we discuss the effect of a predator on the system and derive an analogous convergence result. The predator acts as an repulsive force. Different laws of motion for the predator are considered.

Computer simulations of charged systems in partially periodic geometries

This work presents algorithms for the calculation of the electrostatic interaction in partially periodic systems. The framework for these algorithms is provided by the simulation package ESPResSo, of which the author was one of the main developers. The prominent features of the program are listed and the internal structure is described. In the following, algorithms for the calculation of the Coulomb sum in three dimensionally periodic systems are described. These methods are the foundations for the algorithms for partially periodic systems presented in this work. Starting from the MMM2D method for systems with one non-periodic coordinate, the ELC method for these systems is developed. This method consists of a correction term which allows to use methods for three dimensional periodicity also for the case of two periodic coordinates. The computation time of this correction term is neglible for large numbers of particles. The performance of MMM2D and ELC are demonstrated by results from the implementations contained in ESPResSo. It is also discussed, how different dielectric constants inside and outside of the simulation box can be realized. For systems with one periodic coordinate, the MMM1D method is derived from the MMM2D method. This method is applied to the problem of the attraction of like-charged rods in the presence of counterions, and results of the strong coupling theory for the equilibrium distance of the rods at infinite counterion-coupling are checked against results from computer simulations. The degree of agreement between the simulations at finite coupling and the theory can be characterized by a single parameter gamma_RB. In the special case of T=0, one finds under certain circumstances flat configurations, in which all charges are located in the rod-rod plane. The energetically optimal configuration and its stability are determined analytically, which depends on only one parameter gamma_z, similar to gamma_RB. These findings are in good agreement with results from computer simulations.

Genetische Analyse des Somatostatin-Systems

Somatostatin ist ein Molekül mit multifunktinonellem Charakter, dem Neurotransmitter-, Neuromodulator- und (Neuro)-Hormoneigenschaften zugeschrieben werden. Gemäß seiner ubiquitären Verteilung in Geweben beeinflusst es Stoffwechsel- und Entwicklungsprozesse, bis hin zu Lern-und Gedächtnisleistungen. Diese Wirkungen resultieren aus dem lokalen und zeitlichen Zusammenspiel eines Liganden und fünf G-Protein gekoppelter Rezeptoren (SSTR1-5). Zur Charakterisierung der biologischen Bedeutung des Somatostatin-Systems im Gesamtorganismus wurde eine Mutationsanalyse einzelner Systemkomponenten durchgeführt. Sie umfaßte die Inaktivierung der Gene für das Somatostatin-Präpropeptid und die der Rezeptoren SSTR3 und SSTR4 durch Gene Targeting. Die entsprechenden Ausfallmutationen belegen: Weder die Rezeptoren 3 und 4, noch Somatostatin sind für das Überleben des Organismus unter Standardhaltungsbedingungen notwendig. Die entsprechenden Mauslinien zeigen keine unmittelbar auffälligen Einschränkungen ihrer Biologie. Die Somatostatin-Nullmaus wurde zum Hauptgegenstand einer detaillierten Untersuchung aufgrund der übergeordneten Position des Liganden in der Signalkaskade und verfügbaren Hinweisen zu seiner Funktion. Folgende Schlußfolgerungen konnten nach eingehender Analyse gezogen werden: Der Ausfall des Somatostatin-Gens hat erhöhte Plasmakonzentrationen an Wachstumshormon (GH) zur Konsequenz. Dies steht im Einklang mit der Rolle Somatostatins als hemmender Faktor der Wachstumshormon-Freisetzung, die in der Mutante aufgehoben ist. Durch die Somatostatin-Nullmaus wurde zudem deutlich: Somatostatin interagiert als wesentliches Bindeglied zwischen der Wachstums- und Streßachse. Permanent erhöhte Corticosteron-Werte in den Mutanten implizieren einen negativen tonischen Einfluß für die Sekretion von Glukocorticoiden in vivo. Damit zeigt die Knockout-Maus, daß Somatostatin normalerweise als ein entscheidendes inhibierendes Kontrollelement der Steroidfreisetzung fungiert. Verhaltensversuche offenbarten ein Defizit im motorischen Lernen. Somatostatin-Nullmäuse bleiben im Lernparadigma “Rotierender Stabtest” hinter ihren Artgenossen zurück ohne aber generell in Motorik oder Koordination eingeschränkt zu sein. Diese motorischen Lernvorgänge sind von einem funktionierenden Kleinhirn abhängig. Da Somatostatin und seine Rezeptoren kaum im adulten, wohl aber im sich entwickelnden Kleinhirn auftreten, belegt dieses Ergebnis die Funktion transient in der Entwicklung exprimierter Neuropeptide – eine lang bestehende, aber bislang experimentell nicht nachgewiesene Hypothese. Die Überprüfung weiterer physiologischer Parameter und Verhaltenskategorien unter Standard-Laborbedingunggen ergab keine sichtbaren Abweichungen im Vergleich zu Wildtyp-Mäusen. Damit steht nun ein Tiermodell zur weiterführenden Analyse für die Somatostatin-Forschung bereit: In endokrinologischen, elektrophysiologischen und verhaltens-biologischen Experimenten ist nun eine unmittelbare Korrelation selektiv mit dem Somatostatin-Peptid bzw. mit den Rezeptoren 3 und 4 aber auch in Kombination der Ausfallmutationen nach entsprechenden Kreuzungen möglich.

Application of reactive fluid transport modeling to hydrothermal systems

A one-dimensional multi-component reactive fluid transport algorithm, 1DREACT (Steefel, 1993) was used to investigate different fluid-rock interaction systems. A major short coming of mass transport calculations which include mineral reactions is that solid solutions occurring in many minerals are not treated adequately. Since many thermodynamic models of solid solutions are highly non-linear, this can seriously impact on the stability and efficiency of the solution algorithms used. Phase petrology community saw itself faced with a similar predicament 10 years ago. To improve performance and reliability, phase equilibrium calculations have been using pseudo compounds. The same approach is used here in the first, using the complex plagioclase solid solution as an example. Thermodynamic properties of a varying number of intermediate plagioclase phases were calculated using ideal molecular, Al-avoidance, and non-ideal mixing models. These different mixing models can easily be incorporated into the simulations without modification of the transport code. Simulation results show that as few as nine intermediate compositions are sufficient to characterize the diffusional profile between albite and anorthite. Hence this approach is very efficient, and can be used with little effort. A subsequent chapter reports the results of reactive fluid transport modeling designed to constrain the hydrothermal alteration of Paleoproterozoic sediments of the Southern Lake Superior region. Field observations reveal that quartz-pyrophyllite (or kaolinite) bearing assemblages have been transformed into muscovite-pyrophyllite-diaspore bearing assemblages due to action of fluids migrating along permeable flow channels. Fluid-rock interaction modeling with an initial qtz-prl assemblage and a K-rich fluid simulates the formation of observed mineralogical transformation. The bulk composition of the system evolves from an SiO2-rich one to an Al2O3+K2O-rich one. Simulations show that the fluid flow was up-temperature (e.g. recharge) and that fluid was K-rich. Pseudo compound approach to include solid solutions in reactive transport models was tested in modeling hydrothermal alteration of Icelandic basalts. Solid solutions of chlorites, amphiboles and plagioclase were included as the secondary mineral phases. Saline and fresh water compositions of geothermal fluids were used to investigate the effect of salinity on alteration. Fluid-rock interaction simulations produce the observed mineral transformations. They show that roughly the same alteration minerals are formed due to reactions with both types of fluid which is in agreement with the field observations. A final application is directed towards the remediation of nitrate rich groundwaters. Removal of excess nitrate from groundwater by pyrite oxidation was modeled using the reactive fluid transport algorithm. Model results show that, when a pyrite-bearing, permeable zone is placed in the flow path, nitrate concentration in infiltrating water can be significantly lowered, in agreement with proposals from the literature. This is due to nitrogen reduction. Several simulations investigate the efficiency of systems with different mineral reactive surface areas, reactive barrier zone widths, and flow rates to identify the optimum setup.

Systematic studies of the interaction between amyloid beta-protein and lipids

The amyloid peptide (Aß), a normal constituent of neuronal and non-neuronal cells, has been shown to be a major component of the extracellular plaque of Alzheimer’s disease (AD). The interaction of Aß peptides with the lipid matrix of neuronal cell membranes plays an important role in the pathogenesis of AD. In this study, we have developed peptide-tethered artificial lipid membranes by the Langmuir-Blodgett and Langmuir-Schaefer methods. Anti-Aß40-mAb labeled with a fluorophore was used to probe the Aß40 binding to the model membrane system. Systematic studies on the antibody or Aß-membrane interactions were carried out in our model systems by Surface Plasmon Field-Enhanced Fluorescence Spectroscopy (SPFS). Aß adsorption is critically determined by the lipid composition of the membranes. Aß specifically binds with membranes of sphingomyelin, and this preferential adsorption was markedly amplified by the addition of sterols (cholesterol or 25-OH-Chol). Fluorescence microscopy indicated that 25-OH-Chol could also form micro-domains with sphingomyelin as cholesterol does at the conditions used for the built-up of the model membranes. Our findings suggest that micro-domains composed of sphingomyelin and the sterols could be the binding sites of Aß and the role of sphingomyelin in AD should receive much more attention. The artificial membranes provide a novel platform for the study on AD, and SPFS is a potential tool for detecting Aß-membrane interaction. Numerous investigations indicate that the ability of Aß to form fibrils is considerably dependent upon the levels of ß-sheet structure adopted by Aß. Membrane-mediated conformational transition of Aß has been demonstrated. In this study, we focus on the interaction of Aß and the membranes composed of POPC/SM/25-OH-Chol (2:1:1). The artificial membrane system was established by the methods as described above. Immunoassy based on a pair of monoclonal antibodies (mAbs) against different epitopes was employed to detect the orientation of the Aß at the model membranes. Kinetics of antibody-Aß binding was determined by surface plasmon field-enhanced fluorescence spectroscopy (SPFS). The attempt has also been made to probe the change in the conformation of Aß using SPFS combined with immunoassay. Melatonin was employed to induce the conformational change of Aß. The orientation and the conformational change of Aß are evaluated by analysing kinetic/affinity parameters. This work provides novel insight into the investigation on the structure of Aß at the membrane surface.

Numerical and analytical approaches to strongly correlated electron systems

In this thesis we consider three different models for strongly correlated electrons, namely a multi-band Hubbard model as well as the spinless Falicov-Kimball model, both with a semi-elliptical density of states in the limit of infinite dimensions d, and the attractive Hubbard model on a square lattice in d=2. In the first part, we study a two-band Hubbard model with unequal bandwidths and anisotropic Hund's rule coupling (J_z-model) in the limit of infinite dimensions within the dynamical mean-field theory (DMFT). Here, the DMFT impurity problem is solved with the use of quantum Monte Carlo (QMC) simulations. Our main result is that the J_z-model describes the occurrence of an orbital-selective Mott transition (OSMT), in contrast to earlier findings. We investigate the model with a high-precision DMFT algorithm, which was developed as part of this thesis and which supplements QMC with a high-frequency expansion of the self-energy. The main advantage of this scheme is the extraordinary accuracy of the numerical solutions, which can be obtained already with moderate computational effort, so that studies of multi-orbital systems within the DMFT+QMC are strongly improved. We also found that a suitably defined Falicov-Kimball (FK) model exhibits an OSMT, revealing the close connection of the Falicov-Kimball physics to the J_z-model in the OSM phase. In the second part of this thesis we study the attractive Hubbard model in two spatial dimensions within second-order self-consistent perturbation theory. This model is considered on a square lattice at finite doping and at low temperatures. Our main result is that the predictions of first-order perturbation theory (Hartree-Fock approximation) are renormalized by a factor of the order of unity even at arbitrarily weak interaction (U->0). The renormalization factor q can be evaluated as a function of the filling n for 00, the q-factor vanishes, signaling the divergence of self-consistent perturbation theory in this limit. Thus we present the first asymptotically exact results at weak-coupling for the negative-U Hubbard model in d=2 at finite doping.

Induktion und Analyse spezifischer Immunantworten nach intranodaler Immunisierung mit RNA im murinen Modell

Die Wirksamkeit einer Vakzine ist von vielen Parametern abhängig. Dazu gehören unter anderen: das ausgewählte Antigen, die Formulation in der das Antigen benutzt wird sowie die Applikationsroute. Antigen-kodierende Ribonukleinsäuren (RNA) gilt heutzutage als eine sichere und effiziente Alternative zu traditionellen Impfstoff-Formulierungen, wie Peptiden, rekombinanten Proteinen, viralen Systemen oder DNA basierten Impfstoffen. Bezüglich des Applikationsortes repräsentiert der Lymphknoten ein optimales Milieu für die Interaktion zwischen antigenpräsentierenden Zellen und T-Zellen. Vor diesem Hintergrund war die Zielsetzung dieser Arbeit, ein auf direktem in vivo Transfer von Antigen-kodierender in vitro transkribierter RNA (IVT-RNA) basierendes Impfverfahren zu entwickeln, zu charakterisieren und auf seine anti-tumorale Wirksamkeit zu testen. In der vorliegenden Arbeit konnte gezeigt werden, dass dendritische Zellen (DCs) in vitro hocheffizient mit IVT-RNA transfiziert werden können und eine hohe stimulatorische Kapazität besitzen. Durch Sequenzmodifikation der IVT-RNA konnten wir die Transkriptstabilität und Translationseffizienz erhöhen was zu einer Steigerung der stimulatorischen Kapazität in vivo führte. Darüber hinaus untersuchten wir die Auswirkung der Insertion eines Signalpeptides 5’ sowie einer C-terminalen transmembran- und zytosolischen-Domäne eines MHC-Klasse-I-Moleküls am 3’ der Antigen-kodierenden Sequenz auf die Effizienz der MHC-Klasse-I und -II Präsentation. Wir konnten in vitro und in vivo nachweisen, dass diese Modifikation zu einer gesteigerten, simultanen Stimulation von antigenspezifischen CD4+ und CD8+ T-Zellen führt. Auf der Basis der optimierten Vektorkassetten etablierten wir die intranodale (i.n.) Transfektion von antigenpräsentierenden Zellen in der Maus. Dazu nutzten wir verschiedene Reportersysteme (eGFP-RNA, fluoreszensmarkierte RNA) und konnten zeigen, dass die intranodale Applikation von IVT-RNA zu selektiven Transfektion und Maturation lymphknotenresidenter DCs führt. Zur Untersuchung der immunologischen Effekte wurden in erster Linie auf Influenza-Hemagglutinin-A und Ovalbumin basierende Modellantigensysteme verwendet. Beide Antigene wurden als Antigen-MHC-Fusionskonstrukte genutzt. Als Responderzellen wurden TCR-transgene Lymphozyten verwendet, die MHC-Klasse-I oder -Klasse-II restringierte Epitope des Influenza-Hemagglutinin-A bzw. des Ovalbumin-Proteins erkennen. Wir konnten in vivo zeigen, dass die intranodale Immunisierung mit IVT-RNA zu einer effizienten Stimulation und Expansion von antigenspezifischen CD4+ und CD8+ T-Zellen in einer dosisabhängigen Weise führt. Funktionell konnte gezeigt werden, dass diese T-Zellen Zytokine sezernieren und zur Zytolyse befähigt sind. Wir waren in der Lage durch repetitive i.n. RNA Immunisierung ein ‚Priming’ CD8+ T-Zellen in naiven Mäusen sowohl gegen virale als auch gegen Tumor assoziierte Antigene zu erreichen. Die geprimten T-Zellen waren befähigt eine zytolytische Aktivität gegen mit spezifischem Peptid beladene Targetzellen zu generieren. Darüber hinaus waren wir in der Lage Gedächtnisszellen expandieren zu können. Abschließend konnten wir in Tumormodellen sowohl in prophylaktischen als auch in therapeutischen Experimenten zeigen dass die i.n. RNA Vakzination die Potenz zur Induktion einer anti-tumoralen Immunität besitzt.

From lipid bilayers to synaptic vesicles: atomic force microscopy on lipid-based systems

The aim of this thesis was to apply the techniques of the atomic force microscope (AFM) to biological samples, namely lipid-based systems. To this end several systems with biological relevance based on self-assembly, such as a solid-supported membrane (SSM) based sensor for transport proteins, a bilayer of the natural lipid extract from an archaebacterium, and synaptic vesicles, were investigated by the AFM. For the characterization of transport proteins with SSM-sensors proteoliposomes are adsorbed that contain the analyte (transport protein). However the forces governing bilayer-bilayer interactions in solution should be repulsive under physiological conditions. I investigated the nature of the interaction forces with AFM force spectroscopy by mimicking the adsorbing proteoliposome with a cantilever tip, which was functionalized with charged alkane thiols. The nature of the interaction is indeed repulsive, but the lipid layers assemble in stacks on the SSM, which expose their unfavourable edges to the medium. I propose a model by which the proteoliposomes interact with these edges and fuse with the bilayer stacks, so forming a uniform layer on the SSM. Furthermore I characterized freestanding bilayers from a synthetic phospholipid with a phase transition at 41°C and from a natural lipid extract of the archaebacterium Methanococcus jannaschii. The synthetic lipid is in the gel-phase at room temperature and changes to the fluid phase when heated to 50°C. The bilayer of the lipid extract shows no phase transition when heated from room temperature to the growth temperature (~ 50°C) of the archeon. Synaptic vesicles are the containers of neurotransmitter in nerve cells and the synapsins are a family of extrinsic membrane proteins, that are associated with them, and believed to control the synaptic vesicle cycle. I used AFM imaging and force spectroscopy together with dynamic light scattering to investigate the influence of synapsin I on synaptic vesicles. To this end I used native, untreated synaptic vesicles and compared them to synapsin-depleted synaptic vesicles. Synapsin-depleted vesicles were larger in size and showed a higher tendency to aggregate compared to native vesicles, although their mechanical properties were alike. I also measured the aggregation kinetics of synaptic vesicles induced by synapsin I and found that the addition of synapsin I promotes a rapid aggregation of synaptic vesicles. The data indicate that synapsin I affects the stability and the aggregation state of synaptic vesicles, and confirm the physiological role of synapsins in the assembly and regulation of synaptic vesicle pools within nerve cells.

Applications of remote sensing and geographic information systems in geomorphological studies: Safaga - El Quseir area, Red Sea coast, Egypt as an example

In den letzten drei Jahrzehnten sind Fernerkundung und GIS in den Geowissenschaften zunehmend wichtiger geworden, um die konventionellen Methoden von Datensammlung und zur Herstellung von Landkarten zu verbessern. Die vorliegende Arbeit befasst sich mit der Anwendung von Fernerkundung und geographischen Informationssystemen (GIS) für geomorphologische Untersuchungen. Durch die Kombination beider Techniken ist es vor allem möglich geworden, geomorphologische Formen im Überblick und dennoch detailliert zu erfassen. Als Grundlagen werden in dieser Arbeit topographische und geologische Karten, Satellitenbilder und Klimadaten benutzt. Die Arbeit besteht aus 6 Kapiteln. Das erste Kapitel gibt einen allgemeinen Überblick über den Untersuchungsraum. Dieser umfasst folgende morphologische Einheiten, klimatischen Verhältnisse, insbesondere die Ariditätsindizes der Küsten- und Gebirgslandschaft sowie das Siedlungsmuster beschrieben. Kapitel 2 befasst sich mit der regionalen Geologie und Stratigraphie des Untersuchungsraumes. Es wird versucht, die Hauptformationen mit Hilfe von ETM-Satellitenbildern zu identifizieren. Angewandt werden hierzu folgende Methoden: Colour Band Composite, Image Rationing und die sog. überwachte Klassifikation. Kapitel 3 enthält eine Beschreibung der strukturell bedingten Oberflächenformen, um die Wechselwirkung zwischen Tektonik und geomorphologischen Prozessen aufzuklären. Es geht es um die vielfältigen Methoden, zum Beispiel das sog. Image Processing, um die im Gebirgskörper vorhandenen Lineamente einwandfrei zu deuten. Spezielle Filtermethoden werden angewandt, um die wichtigsten Lineamente zu kartieren. Kapitel 4 stellt den Versuch dar, mit Hilfe von aufbereiteten SRTM-Satellitenbildern eine automatisierte Erfassung des Gewässernetzes. Es wird ausführlich diskutiert, inwieweit bei diesen Arbeitsschritten die Qualität kleinmaßstäbiger SRTM-Satellitenbilder mit großmaßstäbigen topographischen Karten vergleichbar ist. Weiterhin werden hydrologische Parameter über eine qualitative und quantitative Analyse des Abflussregimes einzelner Wadis erfasst. Der Ursprung von Entwässerungssystemen wird auf der Basis geomorphologischer und geologischer Befunde interpretiert. Kapitel 5 befasst sich mit der Abschätzung der Gefahr episodischer Wadifluten. Die Wahrscheinlichkeit ihres jährlichen Auftretens bzw. des Auftretens starker Fluten im Abstand mehrerer Jahre wird in einer historischen Betrachtung bis 1921 zurückverfolgt. Die Bedeutung von Regentiefs, die sich über dem Roten Meer entwickeln, und die für eine Abflussbildung in Frage kommen, wird mit Hilfe der IDW-Methode (Inverse Distance Weighted) untersucht. Betrachtet werden außerdem weitere, regenbringende Wetterlagen mit Hilfe von Meteosat Infrarotbildern. Genauer betrachtet wird die Periode 1990-1997, in der kräftige, Wadifluten auslösende Regenfälle auftraten. Flutereignisse und Fluthöhe werden anhand von hydrographischen Daten (Pegelmessungen) ermittelt. Auch die Landnutzung und Siedlungsstruktur im Einzugsgebiet eines Wadis wird berücksichtigt. In Kapitel 6 geht es um die unterschiedlichen Küstenformen auf der Westseite des Roten Meeres zum Beispiel die Erosionsformen, Aufbauformen, untergetauchte Formen. Im abschließenden Teil geht es um die Stratigraphie und zeitliche Zuordnung von submarinen Terrassen auf Korallenriffen sowie den Vergleich mit anderen solcher Terrassen an der ägyptischen Rotmeerküste westlich und östlich der Sinai-Halbinsel.

Atomic force microscopy of biomimetic systems

This thesis was driven by the ambition to create suitable model systems that mimic complex processes in nature, like intramolecular transitions, such as unfolding and refolding of proteins, or intermolecular interactions between different cell compo-nents. Novel biophysical approaches were adopted by employing atomic force mi-croscopy (AFM) as the main measurement technique due to its broad diversity. Thus, high-resolution imaging, adhesion measurements, and single-molecule force distance experiments were performed on the verge of the instrumental capabilities. As first objective, the interaction between plasma membrane and cytoskeleton, me-diated by the linker protein ezrin, was pursued. Therefore, the adsorption process and the lateral organization of ezrin on PIP2 containing solid-supported membranes were characterized and quantified as a fundament for the establishment of a biomimetic model system. As second component of the model system, actin filaments were coated on functionalized colloidal probes attached on cantilevers, serving as sensor elements. The zealous endeavor of creating this complex biomimetic system was rewarded by successful investigation of the activation process of ezrin. As a result, it can be stated that ezrin is activated by solely binding to PIP2 without any further stimulating agents. Additional cofactors may stabilize and prolong the active conformation but are not essentially required for triggering ezrin’s transformation into an active conformation. In the second project, single-molecule force distance experiments were performed on bis-loop tetra-urea calix[4]arene-catenanes with different loading rates (increase in force per second). These macromolecules were specifically designed to investigate the rupture and rejoining mechanism of hydrogen bonds under external load. The entangled loops of capsule-like molecules locked the unbound state of intramolecular hydrogen bonds mechanically, rendering a rebinding observable on the experimental time scale. In conjunction with Molecular Dynamics simulations, a three-well potential of the bond rupture process was established and all kinetically relevant parameters of the experiments were determined by means of Monte Carlo simulations and stochastic modeling. In summary, it can be stated that atomic force microscopy is an invaluable tool to scrutinize relevant processes in nature, such as investigating activation mechanisms in proteins, as shown by analysis of the interaction between F-actin and ezrin, as well as exploring fundamental properties of single hydrogen bonds that are of paramount interest for the complete understanding of complex supramolecular structures.

Interplay of pi–pi stacking and hydrogen bonding in conjugated supramolecular systems studied by solid-state NMR

In this work supramolecular organic systems based on rigid pi-conjugated building blocks and flexible side chains were studied via solid-state NMR spectroscopy. Specifically, these studies focussed on phenylene ethynylene based macrocycles, polymer systems including polythiophenes, and rod-coil copolymers of oligo(p-benzamide) and poly(ethylene glycol). All systems were studied in terms of the local order and mobility. The central topic of this dissertation was to elucidate the role of the flexible side chains in interplay of different non-covalent interactions, like pi-pi-stacking and hydrogen bonding.Combining the results of this work, it can be concluded that the ratio of the rigid block and the attached alkyl side chains can be crucial for the design of an ordered pi-conjugated supramolecular system. Through alkyl side chains, it is also possible to introduce liquid-crystalline phases in the system, which can foster the local order of the system. Moreover in the studied system longer, unbranched alkyl side chains are better suited to stabilize the corresponding aggregation than shorter, branched ones.The combination of non-covalent interactions such as pi-pi-stacking and hydrogen bonding play an important role for structure formation. However, the effect of pi-pi-stacking interaction is much weaker than the effect of hydrogen bonding and is only observed in systems with a suitable local order. Hence, they are often not strong enough to control the local order. In contrast, hydrogen bonds predominantly influence the structural organization and packing. In comparison the size of the alkyl side chains is only of minor importance. The suppression of certain hydrogen bonds can lead to completely different structures and can induce a specific aggregation behavior. Thus, for the design of a supramolecular ordered system the presence of hydrogen bonding efficiently stabilizes the corresponding structure, but the ratio of hydrogen bond forming groups should be kept low to be able to influence the structure selectively.

Effect of mixing, particle interaction, and spatial dimension on the glass transition

In this thesis, the influence of composition changes on the glass transition behavior of binary liquids in two and three spatial dimensions (2D/3D) is studied in the framework of mode-coupling theory (MCT).The well-established MCT equations are generalized to isotropic and homogeneous multicomponent liquids in arbitrary spatial dimensions. Furthermore, a new method is introduced which allows a fast and precise determination of special properties of glass transition lines. The new equations are then applied to the following model systems: binary mixtures of hard disks/spheres in 2D/3D, binary mixtures of dipolar point particles in 2D, and binary mixtures of dipolar hard disks in 2D. Some general features of the glass transition lines are also discussed. The direct comparison of the binary hard disk/sphere models in 2D/3D shows similar qualitative behavior. Particularly, for binary mixtures of hard disks in 2D the same four so-called mixing effects are identified as have been found before by Götze and Voigtmann for binary hard spheres in 3D [Phys. Rev. E 67, 021502 (2003)]. For instance, depending on the size disparity, adding a second component to a one-component liquid may lead to a stabilization of either the liquid or the glassy state. The MCT results for the 2D system are on a qualitative level in agreement with available computer simulation data. Furthermore, the glass transition diagram found for binary hard disks in 2D strongly resembles the corresponding random close packing diagram. Concerning dipolar systems, it is demonstrated that the experimental system of König et al. [Eur. Phys. J. E 18, 287 (2005)] is well described by binary point dipoles in 2D through a comparison between the experimental partial structure factors and those from computer simulations. For such mixtures of point particles it is demonstrated that MCT predicts always a plasticization effect, i.e. a stabilization of the liquid state due to mixing, in contrast to binary hard disks in 2D or binary hard spheres in 3D. It is demonstrated that the predicted plasticization effect is in qualitative agreement with experimental results. Finally, a glass transition diagram for binary mixtures of dipolar hard disks in 2D is calculated. These results demonstrate that at higher packing fractions there is a competition between the mixing effects occurring for binary hard disks in 2D and those for binary point dipoles in 2D.

Characterization of structure and dynamics of submicrometric systems via fluorescence correlation spectroscopy

The presented thesis revolves around the study of thermally-responsive PNIPAAm-based hydrogels in water/based environments, as studied by Fluorescence Correlation Spectroscopy (FCS).rnThe goal of the project was the engineering of PNIPAAm gels into biosensors. Specifically, a gamma of such gels were both investigated concerning their dynamics and structure at the nanometer scale, and their performance in retaining bound bodies upon thermal collapse (which PNIPAAm undergoes upon heating above 32 ºC).rnFCS’s requirements, as a technique, match the limitations imposed by the system. Namely, the need to intimately probe a system in a solvent, which was also fragile and easy to alter. FCS, on the other hand, both requires a fluid environment to work, and is based on the observation of diffusion of fluorescents at nanomolar concentrations. FCS was applied to probe the hydrogels on the nanometer size with minimal invasivity.rnVariables in the gels were addressed in the project including crosslinking degree; structural changes during thermal collapse; behavior in different buffers; the possibility of decreasing the degree of inhomogeneity; behavior of differently sized probes; and the effectiveness of antibody functionalization upon thermal collapse.rnThe evidenced results included the heightening of structural inhomogeneities during thermal collapse and under different buffer conditions; the use of annealing to decrease the inhomogeneity degree; the use of differently sized probes to address different length scale of the gel; and the successful functionalization before and after collapse.rnThe thesis also addresses two side projects, also carried forward via FCS. One, diffusion in inverse opals, produced a predictive simulation model for diffusion of bodies in confined systems as dependent on the bodies’ size versus the characteristic sizes of the system. The other was the observation of interaction of bodies of opposite charge in a water solution, resulting in a phenomenological theory and an evaluation method for both the average residence time of the different bodies together, and their attachment likelihood.

Theoretical study of correlated systems using hybrid functionals

Diese Arbeit unterstreicht das Potential von Hybridfunktionalen (B3LYP) für die Untersuchung einer großen Bandbreite von Systemen. Durch die Einbeziehung der exakten Hartree-Fock Austauschenergie kann B3LYP für molekulare und kristalline Systeme eingesetzt werden. Zum Beispiel können stark korrelierte Systeme mit B3LYP erfolgreich erforscht werden. Die elektronische Struktur von PAHs wurde mit B3LYP Hybriddichtefunktionalen untersucht. Mit der ∆SCF-Methode wurden Elektronenbindungsenergien bestimmt, welche die mit UPS gewonnenen experimentellen Resultate bestätigen und ergänzen. Symmetrieeigenschaften der molekularen Orbitale wurden analysiert, um eine Zuordnung und Einschätzung der zugehörigen Signalstärke zu ermöglichen. Während σ-artige Orbitale nur schwer durch UPS-Messungen an dünnen Filmen detektiert werden können, bieten Rechnungen eine detaillierte Einsicht in die verborgenen Teile der Spektren.rnWeiterhin wurden π−π-Komplexe untersucht, welche von verschiedenen Donor- und Akzeptor-Molekülen gebildet werden. Die Moleküle basieren auf polyzyklischen, aromatischen Kohlenwasserstoffen. Für Ladungstransferkomplexe finden DFT Rechnungen ein Minimum in der Oberfläche der potentiellen Energie. Diese attraktive Wechselwirkung wird durch Coulombanziehung verursacht. Allerdings ist die Coulombanziehung nicht die stärkste Wechselwirkung in Ladungstransferkomplexen. Die Einbeziehung von van der Waals-Korrekturen verbessert den intermolekularen Abstand und die Bindungsenergie.rnEine Verkleinerung der intermolekularen Abstände führt zu einer großen Verschiebung der HOMO- und LUMO-Energie.rnAus der Klasse der kristallinen korrelierten Systeme wurden Rb4O6 und FeSe untersucht. Im Falle von Rb4O6 führen Ladungsordnung und Korrelationen zu einem isolierenden Grundzustand. Das hypothetische druckabhängige Phasendiagramm wurde untersucht. Eine Erhöhung des Drucks führt zu einer vergrößerten Bandlücke. Bei etwa 75 GPa wird die Bandbreite W größer als der Bandabstand U und das System nimmt einen homogen gemischt valenten Zustand mit teilweise besetzten π−π-Orbitalen an. Für Drücke ab 160 GPa wird W sehr viel größer als U und das System wird metallisch.rnIm Fall von FeSe finden wir eine korrelierte und isolierende Phase bei hohen Drücken, während das System bei niedrigen Drücken supraleitendes Verhalten zeigt. Die Berechnungen der Elektronenstruktur mit dem Hybridfunktional B3LYP führt zum korrekten halbleitenden Grundzustand in der NiAs- und MnP-Struktur von FeSe. Die Rolle der Korrelationen, der Stöchiometrie und der Nähe zum Magnetismus wird besprochen. Im Speziellen wird gezeigt, dass die Phase mit NiAs-Struktur starke lokale Korrelationen aufweist, was zu einem halbleitenden Zustand in einem weiten Druckbereich führt.