Factorized steady states for multi-species mass transfer models

2006/07/31 by T. Hanney
Chemistry · Mathematics · Physics and Astronomy · #Algorithm #Applied mathematics #Chemistry #Factorization #Lattice (music) #Markov Chains and Monte Carlo Methods #Mass transfer #Mathematics #Physical chemistry #Physics #Statistical physics #Steady state (chemistry) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Thermodynamics #cond-mat.stat-mech

paper · pdf · doi:10.1088/1742-5468/2006/12/p12006

published as J. Stat. Mech. (2006) P12006 · 11 pages

arxiv created 2006/07/31 · openalex publication_date 2006/12/06 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A general class of mass transport models with Q species of conserved mass is considered. The models are defined on a lattice with parallel discrete time update rules. For one-dimensional, totally asymmetric dynamics we derive necessary and sufficient conditions on the mass transfer dynamics under which the steady state factorizes. We generalize the model to mass transfer on arbitrary lattices and present sufficient conditions for factorization. In both cases, explicit results for random sequential update and continuous time limits are given.

Citations

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