Nonextensive distribution and factorization of the joint probability

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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LaTeX, 11 Pages, To be published in Chaos, Solitons & Fractals, added typos

Scientific paper

The problem of factorization of a nonextensive probability distribution is discussed. It is shown that, in general, the correlation energy between the correlated subsystems in the canonical composite system can not be neglected even in the thermodynamic limit. In consequence, the factorization approximation should be employed carefully according to different systems. It is also shown that the zeroth law of thermodynamics can be established in the framework of the Incomplete Statistical Mechanics (ISM).

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