Spatial random permutations and infinite cycles

Abstract

We consider systems of spatial random permutations, where permutations are weighed according to the point locations. Infinite cycles are present at high densities. The critical density is given by an exact expression. We discuss the relation between the model of spatial permutations and the ideal and interacting quantum Bose gas.

31 pages

References in corpus (4)

• Bose-Einstein Condensation Temperature of Homogenous Weakly Interacting Bose Gas in Variational Perturbation Theory Through Seven Loops
• Feynman cycles in the Bose gas
• The relation between Feynman cycles and off-diagonal long-range order
• The model of interacting spatial permutations and its relation to the Bose gas

Cited by in corpus (2)

• A variational formula for the free energy of an interacting many-particle system
• The model of interacting spatial permutations and its relation to the Bose gas