Theoretical studies of microfluidics: "walking" drops and "melting" snowflakes.

The present PhD thesis summarizes two examples of research in microfluidics. Both times water was the subject of interest, once in the liquid state (droplets adsorbed on chemically functionalized surfaces), the other time in the solid state (ice snowflakes and their fractal behaviour). The first problem deals with a slipping nano-droplet of water adsorbed on a surface with photo-switchable wettability characteristics. Main focus was on identifying the underlying driving forces and mechanical principles at the molecular level of detail. Molecular Dynamics simulation was employed as investigative tool owing to its record of successfully describing the microscopic behaviour of liquids at interfaces. To reproduce the specialized surface on which a water droplet can effectively “walk”, a new implicit surface potential was developed. Applying this new method the experimentally observed droplet slippage could be reproduced successfully. Next the movement of the droplet was analyzed at various conditions emphasizing on the behaviour of the water molecules in contact with the surface. The main objective was to identify driving forces and molecular mechanisms underlying the slippage process. The second part of this thesis is concerned with theoretical studies of snowflake melting. In the present work snowflakes are represented by filled von Koch-like fractals of mesoscopic beads. A new algorithm has been developed from scratch to simulate the thermal collapse of fractal structures based on Monte Carlo and Random Walk Simulations (MCRWS). The developed method was applied and compared to Molecular Dynamics simulations regarding the melting of ice snowflake crystals and new parameters were derived from this comparison. Bigger snow-fractals were then studied looking at the time evolution at different temperatures again making use of the developed MCRWS method. This was accompanied by an in-depth analysis of fractal properties (border length and gyration radius) in order to shed light on the dynamics of the melting process.

Untersuchung des Reorientierungsverhaltens und Strukturierung dünner amphiphiler Blockcopolymerfilme zum Aufbau von Kompositen

Grundlage für die hier gezeigte Arbeit stellt die Eigenschaft von amphiphilen Blockcopolymeren dar immer den Block mit der niedrigsten Grenzflächenenergie zum angrenzenden Medium an die Oberfläche zu bringen. Durch einen Austausch des Mediums an der Grenzfläche zum Blockcopolymer kann eine Reorientierung erzwungen werden, wenn die Grenzflächenenergie des anderen Blocks nun die niedrigere Grenzflächenenergie besitzt. Dieses Verhalten von dünnen amphiphilen Blockcopolymerfilmen wurde zur Strukturierung von Oberflächen ausgenutzt und in nachfolgenden Synthesen weiter verstärkt. Um dies zu erreichen wurde das zur Strukturierung erforderliche Poly(4-Octylstyrol)block(4-hydroxystyrol) durch kontrollierte radikalische Polymerisationsmethode mit dem Tempo Unimer (2,2,6,6-Tetramethyl-1-1(1-phenyl-ethoxy)-piperidin) synthetisiert. Für die geplanten Reorientierungen und Modifizierungen von Oberflächen wurden dünne Filme durch Schleuderbeschichtung auf verschiedenen Substraten (Siliziumwafern, Glassubstraten und Goldoberflächen) hergestellt. Das Verhalten der Oberflächen von diesen Filmen wurde durch Kontaktwinkelmessungen untersucht. Auf diese Weise konnte gezeigt werden, dass die Oberfläche von Polymerfilmen nach der Präparation aus dem hydrophoben Block des Polymers gebildet wird. Durch Kontakt des Polymerfilms mit Wasser kann dieser zur Reorientierung gebracht werden, so dass der hydrophile Block des Polymers an der Oberfläche erscheint. Dieses Verhalten wurde zur Strukturierung mit softlithographischen Techniken genutzt. Dazu wurden hydrophil/hydrophob strukturierte Oberflächen durch Aufsetzen von hydrophoben PDMS-Stempeln, die Teile der Oberfläche selektiv abdeckten, und Einbringen von Wasser in die dabei entstehenden Kapillaren hergestellt. Dies ermöglichte es die Oberfläche selektiv im Größenbereich von 500nm bis zu 50µm zu strukturieren und an den reaktiven Bereichen Materialien, wie z.B. Kupfer, Titandioxid, Polyelektrolyte, photonische Kristalle und angegraftete Polymere, mit verschiedenen Methoden selektiv auf die Oberfläche aufzubringen. Um den Reorganisationsprozess der Oberfläche genauer zu studieren, wurde ein für diese Aufgabe besser geeignetes Polymer (Poly(Styrol)-block-poly(essigsäure-2-(2-(4-vinyl-phenoxy)-ethoxy)ethylester)) synthetisiert. Aus diesem Blockcopolymer wurden wieder dünne Filme durch Spincoaten hergestellt. Die Reorientierung dieses Polymers in 70°C warmen Wasser konnte durch Kontaktwinkelmessungen und NEXAFS Spektroskopie nachgewiesen werden. Mit Hilfe der NEXAFS Spektroskopie konnte festgestellt werden, dass die Geschwindigkeit der Reorientierung durch eine exponentielle Funktion beschrieben werden kann. Eine Auswertung der Geschwindigkeitskonstante für die Reorientierung einer hydrophilen zu einer hydrophoben Oberfläche des Polymers bei 60°C führt zu =75min. Aufgrund des exponentiellen Charakters der Reorientierung macht es den Anschein, dass die Reorientierung bei verschiedenen Reorientierungstemperaturen bis zu einem gewissen Grad erfolgt und dann stoppt. Eine weitere Reorientierung scheint erst wieder bei einer Temperaturerhöhung zu beginnen. Aus AFM Messungen ist ein Beginnen der Reorientierung durch Bildung kleiner Löcher in der Polymeroberfläche zu erkennen, die sich zu runden Erhöhungen und Vertiefungen vergrößern, um letztendlich in ein spinodales Entmischungsmuster über zu gehen. Dieses heilt dann im Laufe der Zeit langsam durch Verschwinden der hydrophilen Bereiche langsam aus. Der Beginn des zuvor beschriebenen Reorientierungsprozesses einer hydrophilen Oberfläche in eine hydrophobe konnte sowohl in den AFM, als auch in den NEXAFS-Messungen zu ca. 50°C bestimmt werden.

Speciation of tetravalent plutonium in contact with humic substances and kaolinite under environmental conditions

Plutonium represents the major contribution to the radiotoxicity of spent nuclear fuel over storage times of up to several hundred thousand years. The speciation of plutonium in aquifer systems is important in order to assess the risks of high-level nuclear waste disposal and to acquire a deep knowledge of the mobilization and immobilization behavior of plutonium. In aqueous solutions, plutonium can coexist in four oxidation states and each one of them has different chemical and physical behavior. Tetravalent plutonium is the most abundant under natural conditions. Therefore, detailed speciation studies of tetravalent plutonium in contact with humic substances (HS) and kaolinite as a model clay mineral have been performed in this work. Plutonium is present in the environment at an ultratrace level. Therefore, speciation of Pu at the ultratrace level is mandatory. Capillary electrophoresis (CE) coupled to resonance ionization mass spectrometry (RIMS) was used as a new speciation method. CE-RIMS enables to improve the detection limit for plutonium species by 2 to 3 orders of magnitude compared to the previously developed CE-ICP-MS. For understanding the behavior of Pu(IV) in aqueous systems, redox reactions, complexation, and sorption behavior of plutonium were studied. The redox behavior of plutonium in contact with humic acid (HA) and fulvic acid (FA) was investigated. A relatively fast reduction of Pu(VI) in contact with HS was observed. It was mainly reduced to Pu(IV) and Pu(III) within a couple of weeks. The time dependence of the Pu(IV) complexation with Aldrich HA was investigated and a complex constant (logßLC) between 6.4 - 8.4 of Pu(IV) was determined by means of ultrafiltration taking into account the loading capacity (LC). The sorption of tetravalent plutonium onto kaolinite was investigated as a function of pH in batch experiments under aerobic and anaerobic conditions. The sorption edge was found at about pH = 1 and a maximum sorption at around pH = 8.5. In the presence of CO2 at pH > 8.5, the sorption of plutonium was decreased probably due to the formation of soluble carbonate complexes. For comparison, the sorption of Th(IV) onto kaolinite was also investigated and consistent results were found. The Pu(IV) sorption onto kaolinite was studied by XANES and EXAFS at pH 1, 4, 9 and the sorbed species on kaolinite surface was Pu(IV). Depending on the pH, only 1 - 10 % of the sorbed plutonium is desorbed from kaolinite and released into a fresh solution at the same pH value. Furthermore, the sorption of HS onto kaolinite was studied as a function of pH at varying concentrations of HS, as a prerequisite to understand the more complex ternary system. The sorption of HA onto kaolinite was found to be higher than that of FA. The investigation of the ternary systems (plutonium-kaolinite-humic substances) is performed as a function of pH, concentration of HS, and the sequences of adding the reactants. The presence of HS strongly influences the sorption of Pu(IV) onto kaolinite over the entire pH range. For comparison, the influence of HS on the sorption of Th(IV) onto kaolinite was also investigated and a good agreement with the results of Pu(IV) was obtained.

Theoretical studies of fluid membrane mechanics

Biologische Membranen sind Fettmolekül-Doppelschichten, die sich wie zweidimensionale Flüssigkeiten verhalten. Die Energie einer solchen fluiden Oberfläche kann häufig mit Hilfe eines Hamiltonians beschrieben werden, der invariant unter Reparametrisierungen der Oberfläche ist und nur von ihrer Geometrie abhängt. Beiträge innerer Freiheitsgrade und der Umgebung können in den Formalismus mit einbezogen werden. Dieser Ansatz wird in der vorliegenden Arbeit dazu verwendet, die Mechanik fluider Membranen und ähnlicher Oberflächen zu untersuchen. Spannungen und Drehmomente in der Oberfläche lassen sich durch kovariante Tensoren ausdrücken. Diese können dann z. B. dazu verwendet werden, die Gleichgewichtsposition der Kontaktlinie zu bestimmen, an der sich zwei aneinander haftende Oberflächen voneinander trennen. Mit Ausnahme von Kapillarphänomenen ist die Oberflächenenergie nicht nur abhängig von Translationen der Kontaktlinie, sondern auch von Änderungen in der Steigung oder sogar Krümmung. Die sich ergebenden Randbedingungen entsprechen den Gleichgewichtsbedingungen an Kräfte und Drehmomente, falls sich die Kontaktlinie frei bewegen kann. Wenn eine der Oberflächen starr ist, muss die Variation lokal dieser Fläche folgen. Spannungen und Drehmomente tragen dann zu einer einzigen Gleichgewichtsbedingung bei; ihre Beiträge können nicht mehr einzeln identifiziert werden. Um quantitative Aussagen über das Verhalten einer fluiden Oberfläche zu machen, müssen ihre elastischen Eigenschaften bekannt sein. Der "Nanotrommel"-Versuchsaufbau ermöglicht es, Membraneigenschaften lokal zu untersuchen: Er besteht aus einer porenüberspannenden Membran, die während des Experiments durch die Spitze eines Rasterkraftmikroskops in die Pore gedrückt wird. Der lineare Verlauf der resultierenden Kraft-Abstands-Kurven kann mit Hilfe der in dieser Arbeit entwickelten Theorie reproduziert werden, wenn der Einfluss von Adhäsion zwischen Spitze und Membran vernachlässigt wird. Bezieht man diesen Effekt in die Rechnungen mit ein, ändert sich das Resultat erheblich: Kraft-Abstands-Kurven sind nicht länger linear, Hysterese und nichtverschwindende Trennkräfte treten auf. Die Voraussagen der Rechnungen könnten in zukünftigen Experimenten dazu verwendet werden, Parameter wie die Biegesteifigkeit der Membran mit einer Auflösung im Nanometerbereich zu bestimmen. Wenn die Materialeigenschaften bekannt sind, können Probleme der Membranmechanik genauer betrachtet werden. Oberflächenvermittelte Wechselwirkungen sind in diesem Zusammenhang ein interessantes Beispiel. Mit Hilfe des oben erwähnten Spannungstensors können analytische Ausdrücke für die krümmungsvermittelte Kraft zwischen zwei Teilchen, die z. B. Proteine repräsentieren, hergeleitet werden. Zusätzlich wird das Gleichgewicht der Kräfte und Drehmomente genutzt, um mehrere Bedingungen an die Geometrie der Membran abzuleiten. Für den Fall zweier unendlich langer Zylinder auf der Membran werden diese Bedingungen zusammen mit Profilberechnungen kombiniert, um quantitative Aussagen über die Wechselwirkung zu treffen. Theorie und Experiment stoßen an ihre Grenzen, wenn es darum geht, die Relevanz von krümmungsvermittelten Wechselwirkungen in der biologischen Zelle korrekt zu beurteilen. In einem solchen Fall bieten Computersimulationen einen alternativen Ansatz: Die hier präsentierten Simulationen sagen voraus, dass Proteine zusammenfinden und Membranbläschen (Vesikel) bilden können, sobald jedes der Proteine eine Mindestkrümmung in der Membran induziert. Der Radius der Vesikel hängt dabei stark von der lokal aufgeprägten Krümmung ab. Das Resultat der Simulationen wird in dieser Arbeit durch ein approximatives theoretisches Modell qualitativ bestätigt.

Numerical simulation of interdigitated back contact hetero-junction solar cells

The goal of this thesis is the application of an opto-electronic numerical simulation to heterojunction silicon solar cells featuring an all back contact architecture (Interdigitated Back Contact Hetero-Junction IBC-HJ). The studied structure exhibits both metal contacts, emitter and base, at the back surface of the cell with the objective to reduce the optical losses due to the shadowing by front contact of conventional photovoltaic devices. Overall, IBC-HJ are promising low-cost alternatives to monocrystalline wafer-based solar cells featuring front and back contact schemes, in fact, for IBC-HJ the high concentration doping diffusions are replaced by low-temperature deposition processes of thin amorphous silicon layers. Furthermore, another advantage of IBC solar cells with reference to conventional architectures is the possibility to enable a low-cost assembling of photovoltaic modules, being all contacts on the same side. A preliminary extensive literature survey has been helpful to highlight the specific critical aspects of IBC-HJ solar cells as well as the state-of-the-art of their modeling, processing and performance of practical devices. In order to perform the analysis of IBC-HJ devices, a two-dimensional (2-D) numerical simulation flow has been set up. A commercial device simulator based on finite-difference method to solve numerically the whole set of equations governing the electrical transport in semiconductor materials (Sentuarus Device by Synopsys) has been adopted. The first activity carried out during this work has been the definition of a 2-D geometry corresponding to the simulation domain and the specification of the electrical and optical properties of materials. In order to calculate the main figures of merit of the investigated solar cells, the spatially resolved photon absorption rate map has been calculated by means of an optical simulator. Optical simulations have been performed by using two different methods depending upon the geometrical features of the front interface of the solar cell: the transfer matrix method (TMM) and the raytracing (RT). The first method allows to model light prop-agation by plane waves within one-dimensional spatial domains under the assumption of devices exhibiting stacks of parallel layers with planar interfaces. In addition, TMM is suitable for the simulation of thin multi-layer anti reflection coating layers for the reduction of the amount of reflected light at the front interface. Raytracing is required for three-dimensional optical simulations of upright pyramidal textured surfaces which are widely adopted to significantly reduce the reflection at the front surface. The optical generation profiles are interpolated onto the electrical grid adopted by the device simulator which solves the carriers transport equations coupled with Poisson and continuity equations in a self-consistent way. The main figures of merit are calculated by means of a postprocessing of the output data from device simulation. After the validation of the simulation methodology by means of comparison of the simulation result with literature data, the ultimate efficiency of the IBC-HJ architecture has been calculated. By accounting for all optical losses, IBC-HJ solar cells result in a theoretical maximum efficiency above 23.5% (without texturing at front interface) higher than that of both standard homojunction crystalline silicon (Homogeneous Emitter HE) and front contact heterojuction (Heterojunction with Intrinsic Thin layer HIT) solar cells. However it is clear that the criticalities of this structure are mainly due to the defects density and to the poor carriers transport mobility in the amorphous silicon layers. Lastly, the influence of the most critical geometrical and physical parameters on the main figures of merit have been investigated by applying the numerical simulation tool set-up during the first part of the present thesis. Simulations have highlighted that carrier mobility and defects level in amorphous silicon may lead to a potentially significant reduction of the conversion efficiency.

Mixtures of colloidal rods and spheres in bulk and in confinement

When non-adsorbing polymers are added to an isotropic suspension of rod-like colloids, the colloids effectively attract each other via depletion forces. Monte Carlo simulations were performed to study the phase diagram of such rod-polymer mixtures. The colloidal rods were modelled as hard spherocylinders; the polymers were described as spheres of the same diameter as the rods. The polymers may overlap with no energy cost, while overlap of polymers and rods is forbidden. In this thesis the emphasis was on the depletion effects caused by the addition of spheres on the isotropic phase of rod-like particles. Although most of the present experimental studies consider systems close to or beyond the isotropic-nematic transition, the isotropic phase with depletion interactions turns out to be a not less interesting topic. First, the percolation problem was studied in canonical simulations of a system of hard rods and soft spheres, where the amount of depletant was kept low to prevent phase separation of the mixture. The lowering of the percolation threshold seen in experiment is confirmed to be due to the depletion interactions. The local changes in the structure of the fluid of rods, which were measured in the simulations, indicated that the depletion forces enhance local alignment and aggregation of the rods. Then, the phase diagram of isotropic-isotropic demixing of short spherocylinders was calculated using grand canonical ensemble simulations with successive umbrella sampling. Finite size scaling analysis allowed to estimate the location of the critical point. Also, estimates for the interfacial tension between the coexisting isotropic phases and analyses of its power-law behaviour on approach of the critical point are presented. The obtained phase diagram was compared to the predictions of the free volume theory. After an analysis of the bulk, the phase behaviour in confinement was studied. The critical point of gas-liquid demixing is shifted to higher concentrations of rods and smaller concentrations of spheres due to the formation of an orientationally ordered surface film. If the separation between the walls becomes very small, the critical point is shifted back to smaller concentrations of rods because the surface film breaks up. A method to calculate the contact angle of the liquid-gas interface with the wall is introduced and the wetting behaviour on the approach to the critical point is analysed.

La misura dell'impedenza locale con tecnologia Contact nello studio elettrofisiologico

Questo lavoro di Tesi Magistrale, si focalizza sulla più importante delle aritmie atriali, ovvero la Fibrillazione Atriale, e sul trattamento della stessa attraverso le procedure di ablazione a radio frequenza (RF). Il lavoro di tesi, svolto presso l'Ospedale 'M. Bufalini' di Cesena, affronta in particolare l'uso della tecnologia EnSite NavX (un sistema di mappaggio elettroanatomico delle cavità cardiache) ed EnSite Contact (un sistema basato sulla misura dell'impedenza locale per la valutazione del contatto elettrodo tessuto). L'acquisizione e l'analisi dei dati di ECI (indice di accoppiamento elettrico), forniti dal modulo Contact, hanno permesso di comprendere come questo parametro, derivato dalla misura dell'impedenza locale, possa contribuire a fornire importanti informazioni in real-time all'elettrofisiologo e come lo studio della sua dinamica, con particolare attenzione alle variazioni tra pre e post ablazione, possa risultare utile per verificare l'avvenuta erogazione di energia ai tessuti.

Electrical scanning probe microscopy on organic optoelectronic structures

In the field of organic optoelectronics, the nanoscale structure of the materials has huge im-pact on the device performance. Here, scanning force microscopy (SFM) techniques become increasingly important. In addition to topographic information, various surface properties can be recorded on a nanometer length scale, such as electrical conductivity (conductive scanning force microscopy, C-SFM) and surface potential (Kelvin probe force microscopy, KPFM).rnrnIn the context of this work, the electrical SFM modes were applied to study the interplay be-tween morphology and electrical properties in hybrid optoelectronic structures, developed in the group of Prof. J. Gutmann (MPI-P Mainz). In particular, I investigated the working prin-ciple of a novel integrated electron blocking layer system. A structure of electrically conduct-ing pathways along crystalline TiO2 particles in an insulating matrix of a polymer derived ceramic was found and insulating defect structures could be identified. In order to get insights into the internal structure of a device I investigated a working hybrid solar cell by preparing a cross cut with focused ion beam polishing. With C-SFM, the functional layers could be identified and the charge transport properties of the novel active layer composite material could be studied. rnrnIn C-SFM, soft surfaces can be permanently damaged by (i) tip induced forces, (ii) high elec-tric fields and (iii) high current densities close to the SFM-tip. Thus, an alternative operation based on torsion mode topography imaging in combination with current mapping was intro-duced. In torsion mode, the SFM-tip vibrates laterally and in close proximity to the sample surface. Thus, an electrical contact between tip and sample can be established. In a series of reference experiments on standard surfaces, the working mechanism of scanning conductive torsion mode microscopy (SCTMM) was investigated. Moreover, I studied samples covered with free standing semiconducting polymer nano-pillars that were developed in the group of Dr. P. Theato (University Mainz). The application of SCTMM allowed non-destructive imag-ing of the flexible surface at high resolution while measuring the conductance on individual pillarsrnrnIn order to study light induced electrical effects on the level of single nanostructures, a new SFM setup was built. It is equipped with a laser sample illumination and placed in inert at-mosphere. With this photoelectric SFM, I investigated the light induced response in function-alized nanorods that were developed in the group of Prof. R. Zentel (University Mainz). A block-copolymer containing an anchor block and dye moiety and a semiconducting conju-gated polymer moiety was synthesized and covalently bound to ZnO nanorods. This system forms an electron donor/acceptor interface and can thus be seen as a model system of a solar cell on the nanoscale. With a KPFM study on the illuminated samples, the light induced charge separation between the nanorod and the polymeric corona could not only be visualized, but also quantified.rnrnThe results demonstrate that electrical scanning force microscopy can study fundamental processes in nanostructures and give invaluable feedback to the synthetic chemists for the optimization of functional nanomaterials.rn

Tailoring molecule nanostructures on insulating surfaces investigated by non-contact atomic force microscopy

Self-assembled molecular structures were investigated on insulating substrate surfaces using non-contact atomic force microscopy. Both, substrate preparation and molecule deposition, took place under ultra-high vacuum conditions. First, C60 molecules were investigated on the TiO2 (110) surface. This surface exhibits parallel running troughs at the nanometer scale, which strongly steer the assembly of the molecules. This is in contrast to the second investigated surface. The CaF2 (111) surface is atomically flat and the molecular assemblyrnwas observed to be far less affected by the surface. Basically different island structures were observed to what is typically know. Based on extensive experimental studies and theoretical considerations, a comprehensive picture of the processes responsible for the island formation of C60 molecules on this insulating surfaces was developed. The key process for the emergence of the observed novel island structures was made out to be the dewetting of molecules from the substrate. This new knowledge allows to further understand andrnexploit self-assembly techniques in structure fabrication on insulating substrate surfaces. To alter island formation and island structure, C60 molecules were codeposited with second molecule species (PTCDI and SubPc) on the CaF2 (111) surface. Depending on the order of deposition, quiet different structures were observed to arise. Thus, these are the first steps towards more complex functional arrangements consisting of two molecule species on insulating surfaces.

Dielectrophoresis (dep) and electrowetting (ewod) as an anti-fouling process for antibacterial surfaces

Nowadays the medical field is struggling to decrease bacteria biofilm formation which leads to infection. Biomedical devices sterilization has not changed over a long period of time. This results in high costs for hospitals healthcare managements. The objective of this project is to investigate electric field effects and surface energy manipulation as solutions for preventing bacteria biofilm for future devices. Based on electrokinectic environments 2 different methods were tested: feasibility of electric gradient through mediums (DEP) reinforced by numerical simulations; and EWOD by the fabrication of golden interdigitated electrodes on silicon glass substrates, standard ~480 nm Teflon (PTFE) layer and polymeric gasket to contain the bacteria medium. In the first experiment quantitative analysis was carried out to achieve forces required to reject bacteria without considering dielectric environment limitations as bacteria and medium frequency dependence. In the second experiment applied voltages was characterized by droplets contact angle measurements and put to the live bacteria tests. The project resulted on promising results for DEP application due to its wide range of frequency that can be used to make a “general” bacteria rejecting; but in terms of practicality, EWOD probably have higher potential for success but more experiments are needed to verify if can prevent biofilm adhesion besides the Teflon non-adhesive properties (including limitations as Teflon breakthrough, layer sensitivity) at incubation times larger than 24 hours.

Baryons in the chiral regime

Quantum Chromodynamics (QCD) is the theory of strong interactions, one of the four fundamental forces in our Universe. It describes the interaction of gluons and quarks which build up hadrons like protons and neutrons. Most of the visible matter in our universe is made of protons and neutrons. Hence, we are interested in their fundamental properties like their masses, their distribution of charge and their shape. \\rnThe only known theoretical, non-perturbative and {\it ab initio} method to investigate hadron properties at low energies is lattice Quantum Chromodynamics (lattice QCD). However, up-to-date simulations (especially for baryonic quantities) do not achieve the accuracy of experiments. In fact, current simulations do not even reproduce the experimental values for the form factors. The question arises wether these deviations can be explained by systematic effects in lattice QCD simulations.rnrnThis thesis is about the computation of nucleon form factors and other hadronic quantities from lattice QCD. So called Wilson fermions are used and the u- and d-quarks are treated fully dynamically. The simulations were performed using gauge ensembles with a range of lattice spacings, volumes and pion masses.\\rnFirst of all, the lattice spacing was set to be able to make contact between the lattice results and their experimental complement and to be able to perform a continuum extrapolation. The light quark mass has been computed and found to be $m_{ud}^{\overline{\text{MS}}}(2\text{ GeV}) = 3.03(17)(38)\text{ MeV}$. This value is in good agreement with values from experiments and other lattice determinations.\\rnElectro-magnetic and axial form factors of the nucleon have been calculated. From these form factors the nucleon radii and the coupling constants were computed. The different ensembles enabled us to investigate systematically the dependence of these quantities on the volume, the lattice spacing and the pion mass.\newpage Finally we perform a continuum extrapolation and chiral extrapolations to the physical point.\\rnIn addition, we investigated so called excited state contributions to these observables. A technique was used, the summation method, which reduces these effects significantly and a much better agreement with experimental data was achieved. On the lattice, the Dirac radius and the axial charge are usually found to be much smaller than the experimental values. However, due to the carefully investigation of all the afore-mentioned systematic effects we get $\langle r_1^2\rangle_{u-d}=0.627(54)\text{ fm}^2$ and $g_A=1.218(92)$, which is in agreement with the experimental values within the errors.rnrnThe first three chapters introduce the theoretical background of form factors of the nucleon and lattice QCD in general. In chapter four the lattice spacing is determined. The computation of nucleon form factors is described in chapter five where systematic effects are investigated. All results are presented in chapter six. The thesis ends with a summary of the results and identifies options to complement and extend the calculations presented. rn

Analisi di celle solari "back contact" mediante simulatore di reti elettriche distribuite basato su spice

Analisi di celle solari mediante simulatore di reti elettriche distribuite basato su Spice