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
Marco Cavaglià and Saurya Das 2004 Class. Quantum Grav. 21 4511
D R Grigore 2001 J. Phys. A: Math. Gen. 34 5429
Kwanghsi Wang et al 1985 J. Phys. B: At. Mol. Phys. 18 4539
Roberto Bergamini and Stefano Viaggiu 2004 Class. Quantum Grav. 21 4567
R. R. Gal et al. 2008 ApJ 684 933
Ingo Kirsch and Djordje Sijacki 2002 Class. Quantum Grav. 19 3157
Warren G Anderson and Alan G Wiseman 2005 Class. Quantum Grav. 22 S783
Ting Yu et al 2004 Nanotechnology 15 1732
A Taranenko (for the PHENIX Collaboration) 2007 J. Phys. G: Nucl. Part. Phys. 34 S1069