An additive variant of Tsallis generalized entropy

Details An additive variant of Tsallis generalized entropy An additive variant of Tsallis generalized entropy

2002-08-03

arxiv.org/abs/cond-mat/0208064v2

Published in Physica A 325 (2003) 426-438

Physics

Condensed Matter

Statistical Mechanics

9 pages, revtex4. Extended version with corrections and additional material

Scientific paper

10.1016/S0378-4371(03)00262-0

This is an analysis of the additivity of the entropy of thermodynamical systems with finite heat baths. It is presented an expression for the physical entropy of weakly interacting ergodic systems, and it is shown that it is valid for both the microcanonical (constant energy), the Boltzmann-Gibbs canonical (infinite heat bath) and the Tsallis (finite heat bath) ensembles. This physical entropy may be written as a variant of Tsallis entropy. It becomes an additive function after a suitable choice of additive constants, in a procedure reminiscent to the solution presented by Gibbs to the paradox bearing his name.

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