Phase transitions in the two-species totally asymmetric exclusion process with open boundaries

Phase transitions in the two-species totally asymmetric exclusion process with open boundaries
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DOI:
10.1088/1742-5468/2006/12/p12008
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发表时间:
2006-12-01
影响因子:
2.4
通讯作者:
Arita, Chikashi
Arita, Chikashi
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Arita, Chikashi

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研究了一类粒子在左边界注入,在右边界提取,二类粒子被限制在链上的两种完全不对称排斥过程。我们用矩阵积的方法构造了稳态解,并精确地计算了物理量。在热力学极限下,这些量表现出边界诱导的相变。
The two-species totally asymmetric exclusion process on a chain with the following boundary conditions is studied: the first-class particles are injected at the left boundary and extracted at the right boundary, while the second-class particles are confined to the chain. We construct the stationary-state solution and calculate physical quantities exactly by means of the matrix product ansatz. In the thermodynamic limit, these quantities exhibit boundary-induced phase transitions.