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 . Â 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.
Unique-IP document downloads: 769 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.