Calculation of the microcanonical temperature for the classical Bose field
Abstract
The ergodic hypothesis asserts that a classical mechanical system will in time visit every available configuration in phase space. Thus, for an ergodic system, an ensemble average of a thermodynamic quantity can equally well be calculated by a time average over a sufficiently long period of dynamical evolution. In this paper we describe in detail how to calculate the temperature and chemical potential from the dynamics of a microcanonical classical field, using the particular example of the classical modes of a Bose-condensed gas. The accurate determination of these thermodynamics quantities is essential in measuring the shift of the critical temperature of a Bose gas due to non-perturbative many-body effects.
Keywords
Cite
@article{arxiv.cond-mat/0508674,
title = {Calculation of the microcanonical temperature for the classical Bose field},
author = {Matthew J. Davis and P. Blair Blakie},
journal= {arXiv preprint arXiv:cond-mat/0508674},
year = {2007}
}
Comments
revtex4, 10 pages, 1 figure. v2: updated to published version. Fuller discussion of numerical results, correction of some minor errors