Shift in Critical Temperature for Random Spatial Permutations with Cycle Weights

  title={Shift in Critical Temperature for Random Spatial Permutations with Cycle Weights},
  author={John Kerl},
  journal={Journal of Statistical Physics},
  • J. Kerl
  • Published 21 December 2009
  • Physics
  • Journal of Statistical Physics
We examine a phase transition in a model of random spatial permutations which originates in a study of the interacting Bose gas. Permutations are weighted according to point positions; the low-temperature onset of the appearance of arbitrarily long cycles is connected to the phase transition of Bose-Einstein condensates. In our simplified model, point positions are held fixed on the fully occupied cubic lattice and interactions are expressed as Ewens-type weights on cycle lengths of… 
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