An exactly soluble non-equilibrium system: The asymmetric simple exclusion process
An exactly soluble non-equilibrium system: The asymmetric simple exclusion process
复制标题
DOI：
10.1016/s0370-1573(98)00006-4
复制
发表时间：
1998-07-01
影响因子：
30
通讯作者：
Derrida, B
中科院分区：
文献类型：
--
作者：
Derrida, B
对于一维非对称简单不相容过程，一种粒子在一维晶格上随机时间向右跳的模型，假设目标位置是空的，最近已经获得了许多精确的结果。使用稳态权重的矩阵形式或Bethe ansatz，可以精确地计算出几个稳态特性：电流，开放边界条件下的密度分布，标记粒子的扩散常数。稳定状态的矩阵形式可以推广到精确计算两种粒子和激波剖面系统的稳定状态。(C) 1998 Elsevier Science B.V.版权所有
A number of exact results have been obtained recently for the one-dimensional asymmetric simple exclusion process, a model of particles which hop to their right at random times, on a one-dimensional lattice, provided that the target site is empty. Using either a matrix form for the steady-state weights or the Bethe ansatz, several steady-state properties can be calculated exactly: the current, the density profile for open boundary conditions, the diffusion constant of a tagged particle. The matrix form of the steady state can be extended to calculate exactly the steady state of systems of two species of particles and shock profiles. (C) 1998 Elsevier Science B.V. All rights reserved.