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On a non-equilibrium statistical mechanics of graph homomorphisms
, Article Advanced Studies in Theoretical Physics ; Volume 6, Issue 17-20 , 2012 , Pages 815-821 ; 1313311 (ISSN) ; Sharif University of Technology
HIKARI
2012
Abstract
Inspired by the paper [1] we develop a non-equilibrium statistical mechanics for graph homomorphisms, which can be considered as a generalization of several other Markov processes including Ising and parallel Hopfield models. We then apply the theory for the special case of homo-morphisms between rings with N nodes and derive the associated classical Lagrangian in the large N limit