4.4 Article

On a model of random cycles

Journal

JOURNAL OF STATISTICAL PHYSICS
Volume 129, Issue 4, Pages 663-676

Publisher

SPRINGER
DOI: 10.1007/s10955-007-9410-1

Keywords

random permutations; random cycles; bose-einstein condensation

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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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