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On a Model of Random Cycles

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Abstract

We consider a model of random permutations of the sites of the cubic lattice. Permutations are weighted so that sites are preferably sent onto neighbors. We present numerical evidence for the occurrence of a transition to a phase with infinite, macroscopic cycles.

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Authors and Affiliations

  1. Centre de Physique Théorique, CNRS, Universités Aix-Marseille 1 et 2 et Sud Toulon-Var, Luminy, Case 907, 13288, Marseille, France

    Daniel Gandolfo & Jean Ruiz

  2. Department of Mathematics, University of Warwick, Coventry, CV4 7AL, England

    Daniel Ueltschi

Authors
  1. Daniel Gandolfo
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  2. Jean Ruiz
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  3. Daniel Ueltschi
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Correspondence to Daniel Ueltschi.

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Gandolfo, D., Ruiz, J. & Ueltschi, D. On a Model of Random Cycles. J Stat Phys 129, 663–676 (2007). https://doi.org/10.1007/s10955-007-9410-1

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  • DOI: https://doi.org/10.1007/s10955-007-9410-1

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