Ideal gas provides q-entropy

Biró, Tamás Sándor (2013) Ideal gas provides q-entropy. PHYSICA A - STATISTICAL MECHANICS AND ITS APPLICATIONS, 392 (15). pp. 3132-3139. ISSN 0378-4371

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Abstract

A mathematical procedure is suggested to obtain deformed entropy formulas of type K(SK ) = ∑ PiK(− ln Pi), 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 capac- ity, C, where it delivers the R´enyi 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, general- ized deformed entropy formula is constructed for the linear C(S) = C0 + C1S relation.

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