Asymmetric simple exclusion process on chains with a shortcut
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...
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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...
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...
متن کاملTwo-Species Asymmetric Simple Exclusion Process with Open Boundaries
We study the steady state of the two-species Asymmetric Simple Exclusion Process (ASEP) with open boundary conditions. The matrix product method works for the determination of the stationary probability distribution. Several physical quantities are calculated through an explicit representation for the matrix products. By making full use of the relation with the continuous big q-Hermite polynomi...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2014
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.89.032125