On the statistical thermodynamics of reversible communicating processes

  • Authors:
  • Giorgio Bacci;Vincent Danos;Ohad Kammar

  • Affiliations:
  • DiMI, University of Udine;LFCS, School of Informatics, University of Edinburgh;LFCS, School of Informatics, University of Edinburgh

  • Venue:
  • CALCO'11 Proceedings of the 4th international conference on Algebra and coalgebra in computer science
  • Year:
  • 2011

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Abstract

We propose a probabilistic interpretation of a class of reversible communicating processes. The rate of forward and backward computing steps, instead of being given explicitly, is derived from a set of formal energy parameters. This is similar to the Metropolis-Hastings algorithm. We find a lower bound on energy costs which guarantees that a process converges to a probabilistic equilibrium state (a grand canonical ensemble in statistical physics terms [19]). This implies that such processes hit a success state in finite average time, if there is one.