Extensive form of equilibrium nonextensive statistics

Details Extensive form of equilibrium nonextensive statistics Extensive form of equilibrium nonextensive statistics

2002-03-21

arxiv.org/abs/cond-mat/0203448v3

J.Math.Phys. 43 (2002) 5079-5089

Physics

Condensed Matter

Statistical Mechanics

18 pages, 3 ps figure, RevTeX, Published version to appear in J. Math. Phys. (2002)

Scientific paper

10.1063/1.1500424

It is argued that the factorization of compound probability over subsystems is a consequence of the existence of thermodynamic equilibrium in the composite system having Tsallis entropy. So it should be respected by all exact calculations concerning interacting nonextensive subsystems. Using nonextensive energy satisfying the factorization, we propose an additive formalism of nonextensive statistical mechanics with additive q-deformed physical quantities and exponential distributions. This formalism leads to exact quantum gas distributions different from those given by factorization approximation. The fermion distribution of present work shows similar behaviors to that of strongly correlated electrons.

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