Closure of the Monte Carlo dynamical equation in the spherical Sherrington-Kirkpatrick model

We study the analytical solution of the Monte Carlo dynamics in the spherical Sherrington-Kirkpatrick model using the technique of the generating function. Explicit solutions for one-time observables (like the energy) and two-time observables (like the correlation and response function) are obtained. We show that the crucial quantity which governs the dynamics is the acceptance rate. At zero temperature, an adiabatic approximation reveals that the relaxational behavior of the model corresponds to that of a single harmonic oscillator with an effective renormalized mass.

Average ground-state energy of finite Fermi systems

Semiclassical theories such as the Thomas-Fermi and Wigner-Kirkwood methods give a good description of the smooth average part of the total energy of a Fermi gas in some external potential when the chemical potential is varied. However, in systems with a fixed number of particles N, these methods overbind the actual average of the quantum energy as N is varied. We describe a theory that accounts for this effect. Numerical illustrations are discussed for fermions trapped in a harmonic oscillator potential and in a hard-wall cavity, and for self-consistent calculations of atomic nuclei. In the latter case, the influence of deformations on the average behavior of the energy is also considered.

Zelluläre und biochemische Charakterisierung der bifunktionalen Methyltransferase Dnmt2

Seit der Entdeckung der Methyltransferase 2 als hoch konserviertes und weit verbreitetes Enzym sind zahlreiche Versuche zur vollständigen Charakterisierung erfolgt. Dabei ist die biologische Funktion des Proteins ein permanent umstrittener Punkt. In dieser Arbeit wird dnmA als sensitiver Oszillator bezüglich des Zellzyklus und weiterer Einflüsse gezeigt. Insgesamt liegt der Hauptfokus auf der Untersuchung der in vivo Charakterisierung des Gens, der endogenen subzellulären Verteilung, sowie der physiologischen Aufgaben des Proteins in vivo in D. discoideum. Um Hinweise auf Signalwege in vivo zu erhalten, in denen DnmA beteiligt ist, war es zunächst notwendig, eine detaillierte Analyse des Gens anzufertigen. Mit molekularbiologisch äußerst sensitiven Methoden, wie beispielsweise Chromatin‐IP oder qRT‐PCR, konnte ein vollständiges Expressionsprofil über den Zell‐ und Lebenszyklus von D. discoideum angelegt werden. Besonders interessant sind dabei die Ergebnisse eines ursprünglichen Wildtypstammes (NC4), dessen dnmA‐Expressionsprofil quantitativ von anderen Wildtypstämmen abweicht. Auch auf Proteinebene konnten Zellzyklus‐abhängige Effekte von DnmA bestimmt werden. Durch mikroskopische Untersuchungen von verschiedenen DnmA‐GFP‐Stämmen wurden Lokalisationsänderungen während der Mitose gezeigt. Weiterhin wurde ein DnmA‐GFP‐Konstrukt unter der Kontrolle des endogenen Promotors generiert, wodurch das Protein in der Entwicklung eindeutig als Zelltypus spezifisches Protein, nämlich als Präsporen‐ bzw. Sporenspezifisches Protein, identifiziert werden konnte. Für die in vivo Analyse der katalytischen Aktivität des Enzyms konnten nun die Erkenntnisse aus der Charakterisierung des Gens bzw. Proteins berücksichtigt werden, um in vivo Substratkandidaten zu testen. Es zeigte sich, dass von allen bisherigen Substrat Kandidaten lediglich die tRNA^Asp als in vivo Substrat bestätigt werden konnte. Als besondere Erkenntnis konnte hierbei ein quantitativer Unterschied des Methylierungslevels zwischen verschiedenen Wildtypstämmen detektiert werden. Weiterhin wurde die Methylierung sowie Bindung an einen DNA‐Substratkandidaten ermittelt. Es konnte gezeigt werden, dass DnmA äußerst sequenzspezifisch mit Abschnitten des Retrotransposons DIRS‐1 in vivo eine Bindung eingeht. Auch für den Substrakandidaten snRNA‐U2 konnte eine stabile in vitro Komplexbildung zwischen U2 und hDnmt2 gezeigt werden. Insgesamt erfolgte auf Basis der ermittelten Expressionsdaten eine erneute Charakterisierung der Aktivität des Enzyms und der Substrate in vivo und in vitro.

Methods of generating carrier-envelope-phase stabilized, intense, few-cycle laser pulses

Ultrafast laser pulses have become an integral part of the toolbox of countless laboratories doing physics, chemistry, and biological research. The work presented here is motivated by a section in the ever-growing, interdisciplinary research towards understanding the fundamental workings of light-matter interactions. Specifically, attosecond pulses can be useful tools to obtain the desired insight. However access to, and the utility of, such pulses is dependent on the generation of intense, few-cycle, carrier-envelope-phase stabilized laser pulses. The presented work can be thought of as a sort of roadmap towards the latter. From the oscillator which provides the broadband seed to amplification methods, the integral pieces necessary for the generation of attosecond pulses are discussed. A range of topics from the fundamentals to design challenges is presented, outfitting the way towards the practical implementation of an intense few-cycle carrier-envelope-phase stabilized laser source.

The function of SIFamide, PDF, and further neuropeptides in the circadian system of Rhyparobia maderae

Der täglich Wechsel von Hell- und Dunkelphasen führte während der Evolution zur Entwicklung innerer Uhren in nahezu allen Organismen. In der Schabe Rhyparobia maderae lokalisierten Läsions- und Transplantationsexperimente die innere Uhr in der akzessorischen Medulla (AME). Dieses kleine birnenförmige Neuropil am ventromedianen Rand der Medulla ist mit etwa 240 Neuronen assoziiert, die eine hohe Anzahl an zum Teil kolokalisierten Neuropeptiden und Neurotransmittern exprimieren. Diese Signalstoffe scheinen essentiell zu sein für die Synchronisation der inneren Uhr mit der Umwelt, der Kopplung der beiden bilateralen AME, der Aufrechterhaltung des circadianen Rhythmus sowie der zeitlichen Steuerung bestimmter Verhaltensweisen. Während die Funktion einiger dieser neuronalen Botenstoffe bereits gut untersucht ist, fehlt sie für andere. Zudem ist noch ungeklärt, wann einzelne Botenstoffe im circadianen Netzwerk agieren. Im Fokus dieser Studie lag daher die Erforschung der Funktion von SIFamide und Corazonin im circadianen Netzwerk sowie die weitere Untersuchung der Funktionen der Neuropeptide MIP und PDF. Es konnte gezeigt werden, dass SIFamide auch in R. maderae in vier großen neurosekretorischen Zellen in der pars intercerebralis exprimiert wird. Varikosenreiche SIFamide-immureaktive (-ir) Fasern innervieren eine Vielzahl an Neuropilen und finden sich auch in der Hüllregion der AME. Injektionsexperimente resultierten in einer monophasischen Phasen-Antwort-Kurve (PRC) mit einer Verzögerung zur frühen subjektiven Nacht. SIFamide ist also ein Eingangssignal für das circadiane Netzwerk und könnte in der Kontrolle der Schalf/Wach-Homöostase involviert sein. Auch Corazonin fungiert als Eingangssignal. Da die Injektionsexperimente in einer monophasischen PRC mit einem Phasenvorschub zur späten subjektiven Nacht resultierten, ist davon auszugehen, dass die Corazonin-ir AME-Zelle Bestandteil des Morning-Oszillator-Netzwerkes in R. maderae ist. Darüber hinaus zeigten Backfill-Experimente, dass MIP an der Kopplung beider AMAE beteiligt ist. ELISA-Quantifizierungen der PDF-Level im Tagesverlauf ergaben Schwankungen in der Konzentration, die auf eine Ausschüttung des Peptids während des Tages hindeuten – ähnlich wie es in Drosophila melanogaster der Fall ist. Dies spiegelt sich in der vervollständigten bimodalen PDF-PRC wieder. Hier führen Injektionen zu einem Phasenvorschub, bevor maximale Peptidlevel erreicht werden, sowie zu einer Phasenverzögerung, sobald die Peptidlevel wieder zu sinken beginnen. Die PRCs erlauben somit Rückschlüsse auf den Zeitpunkt der maximalen Peptidfreisetzung. PDF-ir Neuriten findet sich zudem in sämtlichen Ganglien des ventralen Strickleiternervensystems, was eine Funktion in der Kontrolle der Prozesse impliziert, die durch die Mustergeneratoren in Thorakal- und Abdominalganglien gesteuert werden.

The aromatic fluctuation index (FLU): a new aromaticity index based on electron delocalization

In this work, the aromatic fluctuation index (FLU) that describes the fluctuation of electronic charge between adjacent atoms in a given ring is introduced as a new aromaticity measure. This new electronic criterion of aromaticity is based on the fact that aromaticity is related to the cyclic delocalized circulation of π electrons. It is defined not only considering the amount of electron sharing between contiguous atoms, which should be substantial in aromatic molecules, but also taking into account the similarity of electron sharing between adjacent atoms. For a series of rings in 15 planar polycyclic aromatic hydrocarbons, we have found that, in general, FLU is strongly correlated with other widely used indicators of local aromaticity, such as the harmonic-oscillator model of aromaticity, the nucleus independent chemical shift, and the para-delocalization index (PDI). In contrast to PDI, the FLU index can be applied to study the aromaticity of rings with any number of members and it can be used to analyze both the local and global aromatic character of rings and molecules

Basin-scale hydrodynamics in a Mediterranean reservoir. Implications for the phytoplankton dynamics

Procesos hidrodinámicos determinan, en un alto grado la calidad del agua en embalse, sin embargo dichos procesos han sido tradicionalmente olvidados en la gestión de embalse. En esta tesis se presentan evidencias de los principales procesos hidrodinámicos que ocurren en un embalse Mediterráneo a escala de cuenca a través de campañas experimentales y modelización numérica; y su influencia en la dinámica de poblaciones de fitoplancton. Dichos procesos son principalmente la generación de ondas internas o secas y la intrusión del río. La presencia de viento periódico genera secas forzadas, amplificando los modos cercanos al periodo del viento, de manera que modos verticales altos, considerados como raros en la naturaleza, tienden a dominar en el sistema.

Microwave spectrum of deuterated silyl isocyanate, SiD3NCO

The microwave spectrum of SiD3NCO has been observed and analyzed for 18 different vibrational states in the ν10 manifold. Some accidental resonances have been observed and analyzed. The vibrational dependence of the rotational and l-doubling constant and centrifugal distortion constant DJK has been successfully interpreted in terms of the two-dimensional anharmonic oscillator model.

Mapping and controlling molecular processes: The application of control theory and system identification algorithms to ASOPS and other fast pulse spectroscopies

Asynchronous Optical Sampling (ASOPS) [1,2] and frequency comb spectrometry [3] based on dual Ti:saphire resonators operated in a master/slave mode have the potential to improve signal to noise ratio in THz transient and IR sperctrometry. The multimode Brownian oscillator time-domain response function described by state-space models is a mathematically robust framework that can be used to describe the dispersive phenomena governed by Lorentzian, Debye and Drude responses. In addition, the optical properties of an arbitrary medium can be expressed as a linear combination of simple multimode Brownian oscillator functions. The suitability of a range of signal processing schemes adopted from the Systems Identification and Control Theory community for further processing the recorded THz transients in the time or frequency domain will be outlined [4,5]. Since a femtosecond duration pulse is capable of persistent excitation of the medium within which it propagates, such approach is perfectly justifiable. Several de-noising routines based on system identification will be shown. Furthermore, specifically developed apodization structures will be discussed. These are necessary because due to dispersion issues, the time-domain background and sample interferograms are non-symmetrical [6-8]. These procedures can lead to a more precise estimation of the complex insertion loss function. The algorithms are applicable to femtosecond spectroscopies across the EM spectrum. Finally, a methodology for femtosecond pulse shaping using genetic algorithms aiming to map and control molecular relaxation processes will be mentioned.

Calculation of converged rovibrational energies and partition function for methane using vibrational-rotational configuration interaction

The rovibration partition function of CH4 was calculated in the temperature range of 100-1000 K using well-converged energy levels that were calculated by vibrational-rotational configuration interaction using the Watson Hamiltonian for total angular momenta J=0-50 and the MULTIMODE computer program. The configuration state functions are products of ground-state occupied and virtual modals obtained using the vibrational self-consistent field method. The Gilbert and Jordan potential energy surface was used for the calculations. The resulting partition function was used to test the harmonic oscillator approximation and the separable-rotation approximation. The harmonic oscillator, rigid-rotator approximation is in error by a factor of 2.3 at 300 K, but we also propose a separable-rotation approximation that is accurate within 2% from 100 to 1000 K. (C) 2004 American Institute of Physics.

Enhancing dominant modes in nonstationary time series by means of the symbolic resonance analysis

We present the symbolic resonance analysis (SRA) as a viable method for addressing the problem of enhancing a weakly dominant mode in a mixture of impulse responses obtained from a nonlinear dynamical system. We demonstrate this using results from a numerical simulation with Duffing oscillators in different domains of their parameter space, and by analyzing event-related brain potentials (ERPs) from a language processing experiment in German as a representative application. In this paradigm, the averaged ERPs exhibit an N400 followed by a sentence final negativity. Contemporary sentence processing models predict a late positivity (P600) as well. We show that the SRA is able to unveil the P600 evoked by the critical stimuli as a weakly dominant mode from the covering sentence final negativity. (c) 2007 American Institute of Physics. (c) 2007 American Institute of Physics.

A relative path attenuation approximation algorithm for DVB-T systems

In the United Kingdom and in fact throughout Europe, the chosen standard for digital terrestrial television is the European Telecommunications Standards Institute (ETSI) ETN 300 744 also known as Digital Video Broadcasting - Terrestrial (DVB-T). The modulation method under this standard was chosen to be Orthogonal Frequency Division Multiplex (0FD4 because of the apparent inherent capability for withstanding the effects of multipath. Within the DVB-T standard, the addition of pilot tones was included that can be used for many applications such as channel impulse response estimation or local oscillator phase and frequency offset estimation. This paper demonstrates a technique for an estimation of the relative path attenuation of a single multipath signal that can be used as a simple firmware update for a commercial set-top box. This technique can be used to help eliminate the effects of multipath(1).

A new detector for ghosted VIF signals

Under multipath conditions, video intermediate frequency (VIF) detectors may generate a local oscillator phase error and consequently produce a dispersed detected signal due to the presence of additional IF carriers. A new detector is presented which by processing the detected phase quadrature information, derives the correct phase for synchronous detection in the presence of multipath effects. This minimises dispersion and produces a detected video signal with the linear addition of amplitude scaled ghosts.

Reduction of vestigial sideband effects due to multipath transmission in terrestrial broadcast television

In terrestrial television transmission multiple paths of various lengths can occur between the transmitter and the receiver. Such paths occur because of reflections from objects outside the direct transmission path. The multipath signals arriving at the receiver are all detected along with the intended signal causing time displaced replicas called 'ghosts' to appear on the television picture. With an increasing number of people living within built up areas, ghosting is becoming commonplace and therefore deghosting is becoming increasingly important. This thesis uses a deterministic time domain approach to deghosting, resulting in a simple solution to the problem of removing ghosts. A new video detector is presented which reduces the synchronous detector local oscillator phase error, caused by any practical size of ghost, to a lower level than has ever previously been achieved. From the new detector, dispersion of the video signal is minimised and a known closed-form time domain description of the individual ghost components within the detected video is subsequently obtained. Developed from mathematical descriptions of the detected video, a new specific deghoster filter structure is presented which is capable of removing both inphase (I) and also the phase quadrature (Q) induced ghost signals derived from the VSB operation. The new deghoster filter requires much less hardware than any previous deghoster which is capable of removing both I and Q ghost components. A new channel identification algorithm was also required and written which is based upon simple correlation techniques to find the delay and complex amplitude characteristics of individual ghosts. The result of the channel identification is then passed to the new I and Q deghoster filter for ghost cancellation. Generated from the research work performed for this thesis, five papers have been published. D

Interferometric technique for measuring terahertz antenna phase patterns

A quasi-optical interferometric technique capable of measuring antenna phase patterns without the need for a heterodyne receiver is presented. It is particularly suited to the characterization of terahertz antennas feeding power detectors or mixers employing quasi-optical local oscillator injection. Examples of recorded antenna phase patterns at frequencies of 1.4 and 2.5 THz using homodyne detectors are presented. To our knowledge, these are the highest frequency antenna phase patterns ever recovered. Knowledge of both the amplitude and phase patterns in the far field enable a Gauss-Hermite or Gauss-Laguerre beam-mode analysis to be carried out for the antenna, of importance in performance optimization calculations, such as antenna gain and beam efficiency parameters at the design and prototype stage of antenna development. A full description of the beam would also be required if the antenna is to be used to feed a quasi-optical system in the near-field to far-field transition region. This situation could often arise when the device is fitted directly at the back of telescopes in flying observatories. A further benefit of the proposed technique is simplicity for characterizing systems in situ, an advantage of considerable importance as in many situations, the components may not be removable for further characterization once assembled. The proposed methodology is generic and should be useful across the wider sensing community, e.g., in single detector acoustic imaging or in adaptive imaging array applications. Furthermore, it is applicable across other frequencies of the EM spectrum, provided adequate spatial and temporal phase stability of the source can be maintained throughout the measurement process. Phase information retrieval is also of importance to emergent research areas, such as band-gap structure characterization, meta-materials research, electromagnetic cloaking, slow light, super-lens design as well as near-field and virtual imaging applications.