Article,
Thermodynamical entropy (and its additivity) within generalized thermodynamics
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 325 (3-4): 426-438 (2003)
DOI: 10.1016/S0378-4371(03)00262-0
Abstract
This is an analysis of the thermodynamical entropy of systems with
finite heat baths and of its additivity. It is presented an expression
for the physical entropy of weakly interacting ergodic systems, and it
is shown how it relates to the traditional entropies of the
micro-canonical (constant energy), the canonical Boltzmann-Gibbs
(infinite heat bath) and the Tsallis (finite heat bath) ensembles. This
physical entropy contains one term that is a variant of the Tsallis
entropy, and 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. (C) 2003 Elsevier Science B.V.
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