Distributions for TASEP models
نویسنده
چکیده
We use bethe ansatz method to analyze the TASEP models with focus on particle dependent jump rate case and obtain a formula for marginal distribution. We also consider discrete time version of the TASEP on a ring.
منابع مشابه
Multi-type TASEP in discrete time
The TASEP (totally asymmetric simple exclusion process) is a basic model for a one-dimensional interacting particle system with non-reversible dynamics. Despite the simplicity of the model it shows a very rich and interesting behaviour. In this paper we study some aspects of the TASEP in discrete time and compare the results to the recently obtained results for the TASEP in continuous time. In ...
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 کاملLarge time asymptotics of growth models on space-like paths II: PNG and parallel TASEP
We consider the polynuclear growth (PNG) model in 1+1 dimension with flat initial condition and no extra constraints. The joint distributions of surface height at finitely many points at a fixed time moment are given as marginals of a signed determinantal point process. The long time scaling limit of the surface height is shown to coincide with the Airy1 process. This result holds more generall...
متن کاملStationary distributions of multi-type totally asymmetric exclusion processes
We consider totally asymmetric simple exclusion processes with n types of particle and holes (n-TASEPs) on Z and on the cycle ZN . Angel recently gave an elegant construction of the stationary measures for the 2-TASEP, based on a pair of independent product measures. We show that Angel’s construction can be interpreted in terms of the operation of a discrete-time M/M/1 queueing server; the two ...
متن کاملThe universal Airy1 and Airy2 processes in the Totally Asymmetric Simple Exclusion Process
In the totally asymmetric simple exclusion process (TASEP) two processes arise in the large time limit: the Airy1 and Airy2 processes. The Airy2 process is an universal limit process occurring also in other models: in a stochastic growth model on 1+1-dimensions, 2d last passage percolation, equilibrium crystals, and in random matrix diffusion. The Airy1 and Airy2 processes are defined and discu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2017