Classical fields counterpart of the ideal Bose gas statistics in a trap is investigated by performing calculations in the canonical ensemble. There exists the optimal cut-off which allows to match the full probability distribution of the condensate population by its classical counterpart. Universal scaling of that cut-off with temperature and dimensionality is derived.
Cite
@article{arxiv.0901.1769,
title = {Bose statistics and classical fields},
author = {Emilia Witkowska and Mariusz Gajda and Kazimierz Rzążewski},
journal= {arXiv preprint arXiv:0901.1769},
year = {2009}
}