The validity of the third law of thermodynamics for the Rényi and homogeneous entropies

G. Baris Bagci

Physica A: Statistical Mechanics and its Applications, 2015, vol. 437, issue C, 405-407

Abstract: Bento et al. (2015) recently proposed to use the third law of thermodynamics as a test for the generalized entropies, since the third law should be respected by any statistical mechanical entropy regardless of the explicit form of the Hamiltonian. We first consider the Rényi entropy which is the sole additive generalized entropy, and show that it violates the third law for q>1. Interestingly, this is exactly the interval where the Rényi entropy is neither concave nor convex. We then consider the homogeneous entropy and show that it also violates the third law for 0Keywords: Generalized thermodynamics; Third law; Renyi entropy; Homogeneous entropy; Concavity; Normalization (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:437:y:2015:i:c:p:405-407

DOI: 10.1016/j.physa.2015.05.115

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