Many-body q-exponential distribution prescribed by factorization hypothesis

Abstract

The factorization problem of $q$-exponential distribution within nonextensive statistical mechanics is discussed on the basis of Abe's general pseudoadditivity for equilibrium systems. it is argued that the factorization of compound probability into product of the probabilities of subsystems is nothing but the consequence of existence of thermodynamic equilibrium in the interacting systems having Tsallis entropy. So the factorization does not needs independent noninteracting systems and should be respected in all exact calculations concerning interacting nonextensive subsystems. This consideration makes it legitimate to use $q$-exponential distribution either for composite system or for single body in many-body systems. Some known results of ideal gases obtained with additive energy are reviewed.

13 pages, no figure, RevTeX

References in corpus (6)

• Dynamical foundations of nonextensive statistical mechanics
• General pseudoadditivity of composable entropy prescribed by existence of equilibrium
• Generalized statistical mechanics and fully developed turbulence
• Nonextensive methods in turbulence and particle physics
• q-Thermostatistics and the black-body radiation problem
• Remarks on $(1-q)$ expansion and factorization approximation in the Tsallis nonextensive statistical mechanics

Cited by in corpus (6)

• Generalized algebra within a nonextensive statistics
• On the generalized entropy pseudoadditivity for complex systems
• More Accurate Theory for Bose-Einstein Condensation Fraction
• Intensive variables in the framework of the non-extensive thermostatistics
• Equilibrium statistical mechanics for incomplete nonextensive statistics
• The entropy in finite $N$-unit nonextensive systems: the ordinary average and $q$-average