Mean-field analysis for Asymmetric Exclusion Processes on two parallel lattices with fully parallel dynamics
| Autor: | Rui Jiang, Zhiwei Shen, Bokui Chen, Teng Liu, Zhong-Jun Ding, Xinxin Lou, Kongjin Zhu, Bing-Hong Wang |
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| Rok vydání: | 2019 |
| Předmět: |
Statistics and Probability
Physics Mathematical analysis Boundary (topology) Condensed Matter Physics 01 natural sciences 010305 fluids & plasmas Mean field theory Simple (abstract algebra) 0103 physical sciences Parallel dynamics Periodic boundary conditions Mean field analysis 010306 general physics Phase diagram |
| Zdroj: | Physica A: Statistical Mechanics and its Applications. 516:317-326 |
| ISSN: | 0378-4371 |
| DOI: | 10.1016/j.physa.2018.09.167 |
| Popis: | This paper studies a two-lane totally asymmetric simple exclusion processes with parallel update rule. The particles move with the same direction on the two lanes. When the particles are blocked by the front particles, they will try to change to the other lane with probability p s if the corresponding site on the other lane is empty. The 2-cluster mean field approach is generalized to the two-lane system, which successfully takes into account the correlation. It is shown that the results of the 2-cluster mean field approach agree with the simulation results well. The phase diagram of open boundary is constructed by using the analytical results of periodic boundary condition. The analytical results are in preferable agreement with the simulation results. |
| Databáze: | OpenAIRE |
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