منابع مشابه
Facilitated asymmetric exclusion.
We introduce a class of facilitated asymmetric exclusion processes in which particles are pushed by neighbors from behind. For the simplest version in which a particle can hop to its vacant right neighbor only if its left neighbor is occupied, we determine the steady-state current and the distribution of cluster sizes on a ring. We show that an initial density downstep develops into a rarefacti...
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The algebraic structure underlying the totally asymmetric exclusion process is studied by using the Bethe Ansatz. From the properties of the algebra generated by the local jump operators, we construct explicitly the hierarchy of operators that commute with the Markov operator. The transfer matrix, which is the generating function of these operators, is shown to represent a discrete Markov proce...
متن کاملTotally 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...
متن کاملWeakly asymmetric exclusion and KPZ
We review recent results on the anomalous fluctuation theory of stochastic Burgers, KPZ and the continuum directed polymer in one space dimension, obtained through the weakly asymmetric limit of the simple exclusion process. Mathematics Subject Classification (2000). Primary 82C22; Secondary 60H15.
متن کاملAsymmetric exclusion model with impurities.
An integrable asymmetric exclusion process with impurities is formulated. The model displays the full spectrum of the stochastic asymmetric XXZ chain plus new levels. We derive the Bethe equations and calculate the spectral gap for the totally asymmetric diffusion at half filling. While the standard asymmetric exclusion process without impurities belongs to the KPZ universality class with an ex...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2010
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.105.210603