Asymmetric simple exclusion process and modified random matrix ensembles
نویسندگان
چکیده
منابع مشابه
Totally asymmetric simple exclusion process
Unlike equilibrium statistical mechanics non-equilibrium statistical mechanics (NESM) has no wellestablished framework. The totally asymmetric simple exclusion process (TASEP) is one of the few models available that try to meet the challenge of describing NESM. Here TASEP is presented in its simplest version. Further two biological applications on mRNA translation and molecular motors are prese...
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This is an expanded version of a series of lectures delivered by the second author in June, 2009. It describes the results of three of the authors’ papers on the asymmetric simple exclusion process, from the derivation of exact formulas for configuration probabilities, through Fredholm determinant representation, to asymptotics with step initial condition establishing KPZ universality. Although...
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A mapping is established between sequence alignment, one of the most commonly used tools of computational biology, at a certain choice of scoring parameters and the asymmetric exclusion process, one of the few exactly solvable models of nonequilibrium physics. The statistical significance of sequence alignments is characterized through studying the total hopping current of the discrete time and...
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In previous work the authors, using the Bethe Ansatz, found for the N -particle asymmetric simple exclusion process on the integers a formula—a sum of multiple integrals—for the probability that a system is in a particular configuration at time t given an initial configuration. The present work extends this to the case where particles are of different species, with particles of a higher species...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2004
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2004.08.016