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Disequilibrium, thermodynamic relations, and Rényi’s entropy. (English) Zbl 1372.94373
Summary: The disequilibrium concept \((D)\) was introduced by López-Ruiz, Mancini, and Calbet 20 years ago together with their successful notion of statistical complexity. In this note, we show that, in a classical, canonical-ensemble environment, \(D\) displays interesting thermodynamic properties and is able to replace the partition function. Also, we show that for a generalized statistical complexity-family that involves Rényi’s entropy of order \(q\), the maximal value of these new complexities is attained in the case \(q = 1\).

MSC:
94A17 Measures of information, entropy
82B05 Classical equilibrium statistical mechanics (general)
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