Department of Mathematics, Indian Institute of Science, Bangalore 560012, India.
LAPTh, CNRS - Université Savoie Mont Blanc, 9 chemin de Bellevue, BP 110, F-74941 Annecy-le-Vieux Cedex, France.
Phys Rev E. 2018 Jan;97(1-1):012151. doi: 10.1103/PhysRevE.97.012151.
We study a two-species partially asymmetric exclusion process where the left boundary is permeable for the "slower" species but the right boundary is not. We find a matrix product solution for the stationary state and the exact stationary phase diagram for the densities and currents. By calculating the density of each species at the boundaries, we find further structure in the stationary phases. In particular, we find that the slower species can reach and accumulate at the far boundary, even in phases where the bulk density of these particles approaches zero.
我们研究了一个两种群部分非对称排斥过程，其中左边边界对“较慢”物种是可渗透的，但右边边界不是。我们为定态找到了一个矩阵乘积解，并得到了密度和电流的精确定态相图。通过计算边界处每种物质的密度，我们在定态相中发现了进一步的结构。特别是，我们发现即使在这些粒子的体密度接近零的相中，较慢的物种也可以到达并在远边界处积累。
