R K P Zia et al J. Stat. Mech. (2004) L10001 doi:10.1088/1742-5468/2004/10/L10001
R K P Zia1, M R Evans2 and Satya N Majumdar3
Show affiliationsFor a class of one-dimensional mass transport models we present a simple and direct test on the chipping functions, which define the probabilities for mass to be transferred to neighbouring sites, to determine whether the stationary distribution is factorized. In cases where the answer is affirmative, we provide an explicit method for constructing the single-site weight function. As an illustration of the power of this approach, previously known results on the zero-range process and asymmetric random average process are recovered in a few lines. We also construct new models, namely a generalized zero-range process and a binomial chipping model, which have factorized steady states.
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
60Axx Foundations of probability theory
80A20 Heat and mass transfer, heat flow
Issue 10 (October 2004)
Received 4 August 2004, accepted for publication 29 September 2004
Published 4 October 2004
R K P Zia et al J. Stat. Mech. (2004) L10001
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