Matrix Product Solution of the Stationary State of Two-Species Open Zero Range Processes View Full Text


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Article Info

DATE

2019-04

AUTHORS

Zhongtao Mei, Jaeyoon Cho

ABSTRACT

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. More... »

PAGES

150-160

References to SciGraph publications

  • 2009-04. Matrix Representation of the Stationary Measure for the Multispecies TASEP in JOURNAL OF STATISTICAL PHYSICS
  • 2014-12. General Limit Distributions for Sums of Random Variables with a Matrix Product Representation in JOURNAL OF STATISTICAL PHYSICS
  • 2017-03. Exact Solution to Integrable Open Multi-species SSEP and Macroscopic Fluctuation Theory in JOURNAL OF STATISTICAL PHYSICS
  • 2005-09. Zero-Range Process with Open Boundaries in JOURNAL OF STATISTICAL PHYSICS
  • 2003-11. Stationary measures and hydrodynamics of zero range processes with several species of particles in BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, NEW SERIES
  • 1992-10. Groundstate properties of a generalized VBS-model in ZEITSCHRIFT FÜR PHYSIK B CONDENSED MATTER
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    http://scigraph.springernature.com/pub.10.1007/s10955-019-02247-x

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    http://dx.doi.org/10.1007/s10955-019-02247-x

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    https://app.dimensions.ai/details/publication/pub.1112222286


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