玻色气体中的 percolation 转移 II
统计力学
2009-11-07 v4 数学物理
math.MP
摘要
在之前的论文中（J. Phys. A: Math. Gen. 26 (1993) 4689），我们提出了玻色气体中循环 percolation 的概念，并推测其发生当且仅当发生玻色-爱因斯坦凝聚。本文给出该命题对于完美玻色气体和不完美（均匀场）玻色气体的完整证明，同时显示在凝聚物中存在无限多个巨型循环。
引用
@article{arxiv.cond-mat/0204430,
title = {Percolation transition in the Bose gas II},
author = {Andras Suto},
journal= {arXiv preprint arXiv:cond-mat/0204430},
year = {2009}
}
备注
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 an infinite cycle which contains a fraction between exp{-(m+1)} and exp{-m} of the total number of particles