Two-species asymmetric simple exclusion process with open boundaries
Two-species asymmetric simple exclusion process with open boundaries
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DOI：
10.1016/j.chaos.2006.05.013
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发表时间：
2008-01-01
影响因子：
7.8
通讯作者：
Uchiyama, Masaru
中科院分区：
文献类型：
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作者：
Uchiyama, Masaru
研究了具有开边界条件的两种群非对称简单排斥过程（ASEP）的定态问题。矩阵乘积法用于确定平稳概率分布。通过矩阵乘积的显式表示计算了几个物理量。充分利用它与连续大q-Hermite多项式的关系，得到了配分函数和n点函数的积分公式。我们研究了热力学极限，发现三个阶段：低密度阶段，高密度阶段和最大电流阶段。(c)2006爱思唯尔有限公司保留所有权利。
We study the steady state of the two-species asymmetric simple exclusion process (ASEP) with open boundary conditions. The matrix product method works for the determination of the stationary probability distribution. Several physical quantities are calculated through an explicit representation for the matrix products. By making full use of the relation with the continuous big q-Hermite polynomials, we arrive at integral formulae for the partition function and the n-point functions. We examine the thermodynamic limit and find three phases: the low-density phase, the high-density phase and the maximal current phase. (c) 2006 Elsevier Ltd. All rights reserved.