Percolation transition in the Bose gas II

Details Percolation transition in the Bose gas II Percolation transition in the Bose gas II

2002-04-19

arxiv.org/abs/cond-mat/0204430v4

J. Phys. A: Math. Gen. 35 (2002) 6995-7002

Physics

Condensed Matter

Statistical Mechanics

The paper is completed with the proof of Eq. (34) and with a remark after Eq. (44) on the existence for any m>ln(rho/rho_0) of

Scientific paper

10.1088/0305-4470/35/33/303

In an earlier paper (J. Phys. A: Math. Gen. 26 (1993) 4689) we introduced the notion of cycle percolation in the Bose gas and conjectured that it occurs if and only if there is Bose-Einstein condensation. Here we give a complete proof of this statement for the perfect and the imperfect (mean-field) Bose gas and also show that in the condensate there is an infinite number of macroscopic cycles.

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