Analytical and simulation studies of 2D asymmetric simple exclusion process
| Autor: | Bokui Chen, Bing-Hong Wang, Zhong-Jun Ding, Qin Shi, Rui Jiang, Jian-Xun Ding, Xiao-Shan Lu, Kongjin Zhu, Shao-Long Yu |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Physics Monte Carlo method Statistical and Nonlinear Physics Jamming Mechanics Asymmetric simple exclusion process 01 natural sciences 010305 fluids & plasmas Lattice (order) 0103 physical sciences Master equation Perpendicular Periodic boundary conditions Boundary value problem 010306 general physics |
| Zdroj: | Physica A: Statistical Mechanics and its Applications. 492:1700-1714 |
| ISSN: | 0378-4371 |
| DOI: | 10.1016/j.physa.2017.11.091 |
| Popis: | Two species of particles driven perpendicularly and interacting through hardcore exclusion on the 2D lattice is studied. Each particle has three moving directions without the back step. Under periodic boundary conditions, an intermediate phase has been found at which some particles could move along the border of jamming stripes. We have performed mean field analysis for the moving and intermediate phase respectively. The analytical results agree with the simulation results well. The empty site moves along the interface of jamming stripes when the system only has one empty site. The average movement of empty site in one Monte Carlo step (MCS) has been analyzed through the master equation. Under open boundary conditions, the system exhibits moving and jamming phases. The critical injection probability α c shows non-monotonically against the forward moving probability q . The analytical results of average velocity, the density and the flow rate against the injection probability in the moving phase also agree with simulation results well. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect