Many-body q-exponential distribution prescribed by factorization hypothesis

Details Many-body q-exponential distribution prescribed by factorization hypothesis Many-body q-exponential distribution prescribed by factorization hypothesis

2001-12-12

arxiv.org/abs/cond-mat/0112211v4

Phys. Lett. A (2002)

Physics

Condensed Matter

Statistical Mechanics

13 pages, no figure, RevTeX

Scientific paper

10.1016/S0375-9601(02)00785-5

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.

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