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Factorised Steady States in Mass Transport Models

M. R. Evans·Satya N. Majumdar·R. K. P. Zia
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Abstract

We study a class of mass transport models where mass is transported in a preferred direction around a one-dimensional periodic lattice and is globally conserved. The model encompasses both discrete and continuous masses and parallel and random sequential dynamics and includes models such as the Zero-range process and Asymmetric random average process as special cases. We derive a necessary and sufficient condition for the steady state to factorise, which takes a rather simple form.

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M. R. Evans, Satya N. Majumdar, R. K. P. Zia. 2004-06-22. Factorised Steady States in Mass Transport Models. https://doi.org/10.1088/0305-4470%2F37%2F25%2Fl02

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