2003/10/29 by Greg Lakatos, Tom Chou, Lakatos, Greg +3
Physics and Astronomy · #FOS: Physical sciences #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.48550/arxiv.cond-mat/0310680
arxiv created 2003/10/29 · arxiv updated 2009/12/01
We formulate and analyze the steady-state behavior of totally asymmetric simple exclusion processes (TASEPs) that contain periodically varying movement rates. In our models, particles at a majority sites hop to the right with rate p1 while particles occupying a periodically arranged set of sites move to the right at rate p2. A number of approximate mean field approaches are used to study the steady-state currents and bulk densities of this model. While exact solutions are not found, the mean field approaches provide results that show good agreement with data derived from extensive Monte-Carlo simulations.