2002/08/31 by M. P. Almeida
Physics and Astronomy · #cond-mat.stat-mech
paper · pdf · doi:10.1016/s0378-4371(03)00262-0
published as Published in Physica A 325 (2003) 426-438 · 9 pages, revtex4. Extended version with corrections and additional material
arxiv created 2002/11/22 · arxiv updated 2009/11/30
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.