Theoretical investigation of the synchronous totally asymmetric simple exclusion process with a roundabout

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• 作者：X. Chen ; Y. Zhang ; Y. Liu ; S. Xiao
• 关键词：Totally asymmetric simple exclusion process ; Roundabout ; Mean ; field approach ; Monte Carlo simulation
• 刊名：Indian Journal of Physics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：91
• 期：2
• 页码：191-196
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics, general; Astrophysics and Astroparticles;
• 出版者：Springer India
• ISSN：0974-9845
• 卷排序：91

文摘

The roundabout in a one-dimensional system is studied employing the synchronous totally asymmetric simple exclusion process. At special sites far from boundaries, particles can attach to and detach from the system irreversibly with respective probabilities p and q. When the system is in a steady station, seven stationary phases are possible. The results of simulations agree well with analytical calculations. The stable state of the low-density/maximal-current/high-density phase corresponds to a critical point and may transfer to six other phases.