On the energy translation invariance of probability distributions

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We comment on the problem of energy translation invariance of probability distribution and present some observations. It is shown that a probability distribution can be invariant in the thermodynamic limit if there is no long term interaction or correlation and no relativistic effect. So this invariance should not be considered as a universal theoretical property. Some peculiarities within the invariant $q$-exponential distribution reveal that the connection of the current nonextensive statistical mechanics to thermodynamics might be disturbed by this invariance.
14 pages, no figure, RevTeX file

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Statistical Mechanics

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http://salesiana.dossiersoluciones.com/handle/123456789/19407

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/cond-mat/0206043
 http://arxiv.org/abs/cond-mat/0206043

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arXiv