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Product Measure Steady States of Generalized Zero Range Processes

R. L. Greenblatt·J. L. Lebowitz
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Abstract

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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BibTeXRIS

R. L. Greenblatt, J. L. Lebowitz. 2005-10-17. Product Measure Steady States of Generalized Zero Range Processes. https://doi.org/10.1088/0305-4470%2F39%2F7%2F003

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