Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 175, Issue 1, Pages 150-160Publisher
SPRINGER
DOI: 10.1007/s10955-019-02247-x
Keywords
Zero range process; Multi-species systems; Open boundary conditions; Matrix product ansatz
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Funding
- R&D Convergence Program of NST (National Research Council of Science and Technology), the Ministry of Science, ICT & Future Planning, Gyeongsangbuk-do
- R&D Convergence Program of NST (National Research Council of Science and Technology), the Ministry of Science, ICT & Future Planning, Pohang City [CAP-15-08-KRISS]
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Using the matrix product ansatz, we obtain solutions of the steady-state distribution of the two-species open one-dimensional zero range process. Our solution is based on a conventionally employed constraint on the hop rates, which eventually allows us to simplify the constituent matrices of the ansatz. It is shown that the matrix at each site is given by the tensor product of two sets of matrices and the steady-state distribution assumes an inhomogeneous factorized form. Our method can be generalized to the cases of more than two species of particles.
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