Construction of the factorized steady state distribution in models of mass transport

Abstract

For 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.

arXiv comment6 pages, no figures

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• Factorised Steady States in Mass Transport Models on an Arbitrary Graph
• Extreme value theory for constrained physical systems
• Finite-size localization scenarios in condensation transitions
• An exactly solvable dissipative transport model
• Additivity property and emergence of power laws in nonequilibrium steady states
• Time-headway distribution for periodic totally asymmetric exclusion process with various updates
• Nonequilibrium chemical potentials of steady-state lattice gas models in contact: A large-deviations approach
• H-theorem at negative temperature: the random exchange model with bounds
• Zero-range process with long-range interactions at a T-junction
• Factorised steady states for multi-species mass transfer models