Global ETD Search
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Showing 1 to 5 of 5 for “"System size expansion"”.
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Microscopic computations in the fractional quantum hall effect
… experimental measurements on quantum Hall systems, effective theories are usually employed such as the chiral Luttinger liquid system. In this thesis the Monte Carlo method is used for Laughlin-type quantum Hall systems to compute microscopic observables. In particular such computations are …
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Drift-diffusion of a vacancy in inhomogeneous media and its material constants : a Fokker-Planck equation approach with an application to foreign exchange data
… inadequate to describe small fluctuations in a system and that a probabilistic approach is needed. By van Kampen's system-size expansion a master equation was expanded to obtain a nonlinear Fokker-Planck equation of the diffusive type. The Einstein relation was obtained and satisfied. As an …
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Poisson representation methods for stochastic models of chemical reactions
… is presented. After a review of the various system size expansion methods that have been developed for an asymptotic solution of stochastic master equations, a new technique, the Poisson representation method is introduced. The technique is based on an expansion of the probability …
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Stochastic many-body problems in ecology, evolution, neuroscience, and systems biology
… of a model circadian rhythm circuit in systems biology. In the first two research chapters, I demonstrate that the genetic code is extremely optimal (in the sense that it manages the effects of point mutations or mistranslations efficiently), more than an order of magnitude beyond what …
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Modelling and inference in active systems
Non-equilibrium systems, or active systems, span virtually all disciplines of science. While the underlying processes driving these systems out of equilibrium (may that be thermal, chemical or another type of equilibrium) may be entirely unrelated, it is often the case that the same or a similar …