M J Davis and P B Blakie 2005 J. Phys. A: Math. Gen. 38 10259 doi:10.1088/0305-4470/38/48/001
M J Davis1 and P B Blakie2
Show affiliationsThe 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.
03.75.Hh Static properties of condensates; thermodynamical, statistical and structural properties
Issue 48 (2 December 2005)
Received 29 August 2005, in final form 7 October 2005
Published 16 November 2005
M J Davis and P B Blakie 2005 J. Phys. A: Math. Gen. 38 10259
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