Calculation of the microcanonical temperature for the classical Bose field
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Publication:5714958
DOI10.1088/0305-4470/38/48/001zbMATH Open1077.82004arXivcond-mat/0508674OpenAlexW2061191349WikidataQ57728467 ScholiaQ57728467MaRDI QIDQ5714958
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Publication date: 16 December 2005
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/cond-mat/0508674
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