An additive variant of Tsallis generalized entropy

Abstract

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.

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

References in corpus (7)

• Dynamical foundations of nonextensive statistical mechanics
• Generalized entropies from first principles
• When is a quantity additive, and when is it extensive?
• Tsallis thermostatistics for finite systems: a Hamiltonian approach
• An extended-phase-space dynamics for the generalized nonextensive thermostatistics
• Microscopic analog of temperature within nonextensive thermostatistics
• Thermodynamics arising from Tsallis' thermostatistics

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• Robustness of the second law of thermodynamics under generalizations of the maximum entropy method
• Numerical calculation of the energy relative fluctuation for a system in contact with a finite heat bath
• On the possible distributions of temperature in nonequilibrium steady states
• A generalized thermodynamics for power-law statistics
• Multiparticle production processes from the Information Theory point of view