On the energy translation invariance of probability distributions
Statistical Mechanics
2007-05-23 v1
Abstract
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 -exponential distribution reveal that the connection of the current nonextensive statistical mechanics to thermodynamics might be disturbed by this invariance.
Keywords
Cite
@article{arxiv.cond-mat/0206043,
title = {On the energy translation invariance of probability distributions},
author = {Q. A. Wang and L. Nivanen and M. Pezeril and A. Le Mehaute},
journal= {arXiv preprint arXiv:cond-mat/0206043},
year = {2007}
}
Comments
14 pages, no figure, RevTeX file