Product Measure Steady States of Generalized Zero Range Processes

Details Product Measure Steady States of Generalized Zero Range Processes Product Measure Steady States of Generalized Zero Range Processes

2005-06-29

arxiv.org/abs/cond-mat/0506776v3

Physics

Condensed Matter

Statistical Mechanics

9 pages, LaTeX with IOP style files. v2 has minor corrections; v3 has been rewritten for greater clarity

Scientific paper

10.1088/0305-4470/39/7/003

We establish necessary and sufficient conditions for the existence of factorizable steady states of the Generalized Zero Range Process. This process allows transitions from a site $i$ to a site $i+q$ involving multiple particles with rates depending on the content of the site $i$, the direction $q$ of movement, and the number of particles moving. We also show the sufficiency of a similar condition for the continuous time Mass Transport Process, where the mass at each site and the amount transferred in each transition are continuous variables; we conjecture that this is also a necessary condition.

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