On the energy translation invariance of probability distributions

Details On the energy translation invariance of probability distributions On the energy translation invariance of probability distributions

2002-06-04

arxiv.org/abs/cond-mat/0206043v1

Physics

Condensed Matter

Statistical Mechanics

14 pages, no figure, RevTeX file

Scientific paper

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.

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