ASYMMETRIC EXCLUSION PROCESSES ON LATTICES WITH A JUNCTION: THE EFFECT OF UNEQUAL INJECTION RATES

ASYMMETRIC EXCLUSION PROCESSES ON LATTICES WITH A JUNCTION: THE EFFECT OF UNEQUAL INJECTION RATES
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具有结点的晶格的不对称排除过程:不等注入速率的影响

DOI:
10.1142/s0129183109014138
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发表时间:
2009-06
影响因子:
1.9
通讯作者:
Nishinari, Katsuhiro
Nishinari, Katsuhiro
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Wang, Xiong;Wu, Qing-Song;Hu, Mao-Bin;Jiang, Rui;Nishinari, Katsuhiro

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具有结点的晶格上的不对称排斥过程(ASEP)是研究复杂输运现象的重要模型,其中两个或多个平行的晶格分支联合收割机合并为一个。本文研究了注入速率不相等对带结ASEP的影响。这是一个概括的工作Pronina和Kolomeisky [J.统计。P07010(2005)],其中仅考虑相等的注射速率。结果表明,不相等的速率会产生新的相,并使相图结构发生质的变化。采用蒙特卡罗模拟、平均场近似和畴壁方法对相图和密度分布进行了研究。分析结果与Monte Carlo模拟结果吻合较好。
Asymmetric exclusion processes (ASEP) on lattices with a junction, in which two or more parallel lattice branches combine into a single one, is important as a model for complex transport phenomena. This paper investigates the effect of unequal injection rates in ASEP with a junction. It is a generalization of the work of Pronina and Kolomeisky [J. Stat. Mech. P07010 (2005)], in which only equal injection rates are considered. It is shown that the unequal rates give rise to new phases and the phase diagram structure is qualitatively changed. The phase diagram and the density profiles are investigated by using Monte Carlo simulations, mean field approximation and domain wall approach. The analytical results are in good agreement with Monte Carlo simulations.
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