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Matrix product solution of a left-permeable two-species asymmetric exclusion process
Arvind Ayyer1, Caley Finn2, Dipankar Roy1
1Department of Mathematics, Indian Institute of Science, Bangalore 560012, India.
Abstract:
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.
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