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On a non-equilibrium statistical mechanics of graph homomorphisms

Bahraini, A ; Sharif University of Technology | 2012

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  1. Type of Document: Article
  2. Publisher: HIKARI , 2012
  3. Abstract:
  4. 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
  5. Keywords:
  6. Graph homomorphism ; Path integral ; QFT
  7. Source: Advanced Studies in Theoretical Physics ; Volume 6, Issue 17-20 , 2012 , Pages 815-821 ; 1313311 (ISSN)
  8. URL: http://www.m-hikari.com/astp/astp2012/astp17-20-2012/index.html