On a model of random cycles

Details On a model of random cycles On a model of random cycles

2007-03-12

arxiv.org/abs/cond-mat/0703315v3

J. Statist. Phys. 129, 663-676 (2007)

Physics

Condensed Matter

Statistical Mechanics

13 pages

Scientific paper

10.1007/s10955-007-9410-1

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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