Ideal gas provides q-entropy
Statistical Mechanics
2014-05-19 v3 High Energy Physics - Phenomenology
Nuclear Theory
Abstract
A mathematical procedure is suggested to obtain deformed entropy formulas of type K(S_K) = sum_i P_i K(-ln P_i), by requiring zero mutual K(S_K)-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 Renyi and Tsallis formulas. A novel interpretation of the qstar = 2-q duality arises from the comparison of canonical subsystem and total microcanonical partition approaches. Finally a new, generalized deformed entropy formula is constructed for the linear relation C(S) = C_0 + C_1 S.
Cite
@article{arxiv.1211.5284,
title = {Ideal gas provides q-entropy},
author = {Tamas S. Biro},
journal= {arXiv preprint arXiv:1211.5284},
year = {2014}
}
Comments
more introduction, citations and derivation in v3; accepted in Physica A