Condensed Matter


The Tsallis Entropy and the Boltzmann Entropy Applicable to the Same Classical Generalized System

Authors: Xiangjun Feng

It is demonstrated clearly that for the same classical generalized system the Tsallis power-laws with both the q > 1 and the q < 1 can be induced by the constraint of the constant harmonic mean for the so-called reciprocal energies Er and at the same time the Boltzmann distribution or the negative exponential probability distribution can be generated with the constraint of the constant arithmetic mean for the generalized energies E . The author thus argues that there might be no definite "extensive system" or "classical system" and there are only "classical physical parameters" and "classical constraints". For any physical system or generalized system, it is the non-natural constraints which determine both the forms of the entropies and the nonuniform equilibrium distributions.

Comments: 3 pages and 3 figures. This paper has been published in the on-line journal of World Chinese Forum On Science of General Systems (WCFSGS), ISSN 1936-7260. The paper has also been included in the NONEXTENSIVE STATISTICAL MECHANICS AND THERMODYNAMICS: BIBLIOGRAPHY edited by Prof. Constantino Tsallis . Report Number: 300-P-10-04-01 Journal Reference: WCFSGS VOL 6, NO. S1 ( A SPECIAL EDITION ON NONEXTENSIVE MECHANICS ), APRIL 2010, ISSN 1936 - 7260.

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Submission history

[v1] 13 Apr 2010
[v2] 15 Apr 2010
[v3] 21 Apr 2010

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