Factorised Steady States in Mass Transport Models

Details Factorised Steady States in Mass Transport Models Factorised Steady States in Mass Transport Models

2004-06-22

arxiv.org/abs/cond-mat/0406524v1

J. Phys. A: Math. Gen vol. 37 (2004) L275-280

Physics

Condensed Matter

Statistical Mechanics

6 pages

Scientific paper

10.1088/0305-4470/37/25/L02

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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