Time-headway distribution for periodic totally asymmetric exclusion process with various updates
نویسندگان
چکیده
منابع مشابه
Totally 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 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 کاملTotally asymmetric simple exclusion process on networks.
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 کاملSteady-state properties of a totally asymmetric exclusion process with periodic structure.
We study the steady-state behavior of totally asymmetric simple exclusion processes (TASEPs) that contain periodically varying movement rates. In this model, particles move to the right at one of two rates: p(2) if the particle occupies one of a periodically arranged set of lattice sites; p(1) otherwise. Approximate mean field approaches are used to study the steady-state currents and bulk dens...
متن کاملComment on "Steady-state properties of a totally asymmetric exclusion process with periodic structure".
Lakatos et al.[Phys. Rev. E 71, 011103 (2005)] have studied a totally asymmetric exclusion process that contains periodically varying movement rates. They have presented a cluster mean-field theory for the problem. We show that their cluster mean-field theory leads to redundant equations. We present a mean-field analysis in which there is no redundant equation.
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2016
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2016.01.013