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arXiv 1003.3313cond-mat.stat-mech
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Cayley树上的非对称简单排他过程

Asymmetric Simple Exclusion Process on a Cayley Tree

Mahashweta Basu, P. K. Mohanty

摘要:

研究了具有任意配位数的正则Cayley树上的非对称排它过程。在这个模型中,粒子只能在父站点进入系统,并在最后一级从其中一个站点退出。它们大部分会从被占据的位置移动到随机选择的一个未被占据的向下邻居。我们表明,从一个水平流到下一个的稳态电流是独立的出口率,并单调增加的入口率和协调数。与TASEP不同,该模型只有一个相,密度分布没有显示边界层。我们认为,在血液,空气或水循环系统分支是必不可少的,以保持系统内的自由流动,这是独立的出口率。

英文摘要:

We study the asymmetric exclusion process on a regular Cayley tree with arbitrary co-ordination number. In this model particles can enter the system only at the parent site and exit from one of the sites at the last level. In the bulk they move from the occupied sites to one of their unoccupied downward neighbours, chosen randomly. We show that the steady state current that flow from one level to the next is independent of the exit rate, and increase monotonically with the entry rate and the co-ordination number. Unlike TASEP, the model has only one phase and the density profile show no boundary layers. We argue that in blood, air or water circulations systems branching is essential to maintain a free flow within the system which is independent of exit rates.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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