Totally asymmetric simple exclusion process with a single defect site on boundaries

Totally asymmetric simple exclusion process with a single defect site on boundaries
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完全不对称的简单排除过程,边界上有单个缺陷位点

DOI:
10.1142/s0217979216500831
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发表时间:
2016-06
影响因子:
1.7
通讯作者:
Yanna Liu
Yanna Liu
中科院分区:
物理与天体物理4区
文献类型:
--
作者:
Song Xiao;Xiaoyu Chen;Yanna Liu

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用完全不对称简单排斥过程(TASEP)研究了晶界上的单一缺陷位.这里探讨了两个典型案例(即案例A和案例B)。在情况A中,单个缺陷位于第一个位置,然后将一维晶格划分为两个部分,即具有跳跃率p的单个缺陷位置和具有跳跃率q的正常一般TASEP。类似地,对于情况B,单个缺陷位于最后一个位置。通过理论分析和蒙特卡罗模拟,可以得到稳态相图和体积密度。对于2p≤Q2,系统只有两个相(即LD相和HD相),而MC相消失。然而,当条件2p>q2成立时,体系中存在MC相,参数p和q影响MC相的区域。随着p/q比的减小,A种情况下HD相区减小,B种情况下HD相区增大。理论计算与蒙特卡罗模拟符合得很好。
A single defect site on boundaries has been investigated by totally asymmetric simple exclusion process (TASEP). Here, two typical cases have been explored (namely, case A and case B). In case A, a single defect locates on the first site, then the one-dimensional lattice has been divided into two segments, namely, a single defect site with the hopping rate p and a normal general TASEP with hopping rate q. Similarly, a single defect locates on the last site for case B. The steady state phase diagrams and bulk densities can be obtained by theoretical analysis and Monte Carlo simulations. With 2p ≤ q2, the system includes only two phases (namely LD and HD phases), and the MC phase vanishes. However, when the condition 2p > q2 is valid, the MC phase exists in system and the parameters p and q affect its region. With the decrease of the ratio of p/q, the region of HD phase reduces for case A and grows for case B. The theoretical calculations are in good agreement with Monte Carlo simulations.
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