The definition of the thermodynamic entropy in statistical mechanics

Robert H. Swendsen

Physica A: Statistical Mechanics and its Applications, 2017, vol. 467, issue C, 67-73

Abstract: A definition of the thermodynamic entropy based on the time-dependent probability distribution of the macroscopic variables is developed. When a constraint in a composite system is released, the probability distribution for the new equilibrium values goes to a narrow peak. Defining the entropy by the logarithm of the probability distribution automatically makes it a maximum at the equilibrium values, so it satisfies the Second Law. It also satisfies the postulates of thermodynamics. Objections to this definition by Dieks and Peters are discussed and resolved.

Keywords: Entropy; Thermodynamics; Statistical mechanics; Irreversibility; Second law of thermodynamics (search for similar items in EconPapers)
Date: 2017
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:467:y:2017:i:c:p:67-73

DOI: 10.1016/j.physa.2016.10.032

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