Ideal gas provides q-entropy

T.S. Biró

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 15, 3132-3139

Abstract: A mathematical procedure is suggested to obtain deformed entropy formulas of type K(SK)=∑PiK(−lnPi), by requiring zero mutual K(SK)-information between a finite subsystem and a finite reservoir. The use of this method is first demonstrated on the ideal gas equation of state with finite constant heat capacity, C, where it delivers the Rényi and Tsallis formulas. A novel interpretation of the q∗=2−q duality arises from the comparison of canonical subsystem and total microcanonical partition approaches. In the sequel a new, generalized deformed entropy formula is constructed for the linear C(S)=C0+C1S relation.

Keywords: q-entropy; Mutual information; Finite heat reservoir (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:15:p:3132-3139

DOI: 10.1016/j.physa.2013.03.028

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