Article ID Journal Published Year Pages File Type
1900652 Reports on Mathematical Physics 2008 8 Pages PDF
Abstract

We study the totally asymmetric exclusion process on a ring in discrete time with the backward-ordered sequential update and particle-dependent jumping probabilities. Using our recent exact analytical expression for the generating function of the finite time transition probabilities, we find the average velocity per one particle at all stages of evolution. Evolution of small systems towards the steady state is demonstrated explicitly.

Related Topics
Physical Sciences and Engineering Mathematics Mathematical Physics