Coupling the Simple Exclusion Process
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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We study the totally asymmetric simple exclusion process (TASEP) on complex networks, as a paradigmatic model for transport subject to excluded volume interactions. Building on TASEP phenomenology on a single segment and borrowing ideas from random networks we investigate the effect of connectivity on transport. In particular, we argue that the presence of disorder in the topology of vertices c...
متن کاملOn the Asymmetric Simple Exclusion Process with Multiple Species
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...
متن کاملExact relaxation dynamics in the totally asymmetric simple exclusion process.
The relaxation dynamics of the one-dimensional totally asymmetric simple exclusion process on a ring is considered in the case of step initial condition. Analyzing the time evolution of the local particle densities and currents by the Bethe ansatz method, we examine their full relaxation dynamics. As a result, we observe peculiar behaviors, such as the emergence of a ripple in the density profi...
متن کاملThe totally asymmetric simple exclusion process on networks
Izaak Neri, Norbert Kern, and Andrea Parmeggiani 1 Laboratoire Charles Coulomb, UMR 5221 CNRS-UM2, cc 069, Université Montpellier II, Pl. E. Bataillon, 34095 Montpellier Cedex 5, France 2 Laboratoire de Dynamique des Interactions Membranaires Normales et Pathologiques, UMR 5235 CNRS-UM2-UM1, cc 107, Université Montpellier II, Pl. E. Bataillon, 34095 Montpellier Cedex 5, France (Dated: January 2...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1976
ISSN: 0091-1798
DOI: 10.1214/aop/1176996084