Uniformity of the phase space and fluctuations in thermal equilibrium

Arkadiusz Majka and Wojciech Wiślicki

Physica A: Statistical Mechanics and its Applications, 2003, vol. 322, issue C, 313-328

Abstract: General relations are found between the measure of the uniformity of distributions on the phase space and the first moments and correlations of extensive variables for systems close to thermal equilibrium. The role played by the parameter of the Renyi entropy for the analysis of their fluctuations and correlations is studied. Analytical results are verified and illustrated by direct simulations of quantum systems of ideal fermions and bosons. Problems of finite statistics, usual in experiments and simulations, are addressed and discussed and solved by finding unbiased estimators for Renyi entropies and uniformities.

Keywords: Generalized entropies; Phase space uniformity; Fluctuations (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:322:y:2003:i:c:p:313-328

DOI: 10.1016/S0378-4371(02)01814-9

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