Shift in Critical Temperature for Random Spatial Permutations with Cycle Weights

@article{Kerl2010ShiftIC,
  title={Shift in Critical Temperature for Random Spatial Permutations with Cycle Weights},
  author={John Kerl},
  journal={Journal of Statistical Physics},
  year={2010},
  volume={140},
  pages={56-75}
}
  • 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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A Complete Bibliography of the Journal of Statistical Physics: 2000{2009
(2 + 1) [XTpXpH12, CTH11]. + [Zuc11b]. 0 [Fed17]. 1 [BELP15, CAS11, Cor16, Fed17, GDL10, GBL16, Hau16, JV19, KT12, KM19c, Li19, MN14b, Nak17, Pal11, Pan14, RT14, RBS16b, RY12, SS18c, Sug10, dOP18]. 1

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