# 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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