Factorised Steady States in Mass Transport Models

M. evans; Satya majumdar; R. zia

doi:10.1088/0305-4470/37/25/L02

Factorised Steady States in Mass Transport Models

M. evans, Satya majumdar, R. zia

School of Physics and Astronomy

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	L275-L280
Number of pages	6
Journal	Journal of Physics A: Mathematical and General
Volume	37
Issue number	25
DOIs	https://doi.org/10.1088/0305-4470/37/25/L02
Publication status	Published - 22 Jun 2004

Keywords

cond-mat.stat-mech

Access to Document

10.1088/0305-4470/37/25/L02

pdf

http://iopscience.iop.org/0305-4470/37/25/L02/

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AB - 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.

KW - cond-mat.stat-mech

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DO - 10.1088/0305-4470/37/25/L02

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