Exact relaxation dynamics in the totally asymmetric simple exclusion process
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چکیده
منابع مشابه
Exact 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 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...
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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 کاملTotally Asymmetric Exclusion Process
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 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: Physical Review E
سال: 2012
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.85.042105