Applying incomplete statistics to nonextensive systems with different $q$ indices
Abstract
The nonextensive statistics based on the -entropy has been so far applied to systems in which the value is uniformly distributed. For the systems containing different 's, the applicability of the theory is still a matter of investigation. The difficulty is that the class of systems to which the theory can be applied is actually limited by the usual nonadditivity rule of entropy which is no more valid when the systems contain non uniform distribution of values. In this paper, within the framework of the so called incomplete information theory, we propose a more general nonadditivity rule of entropy prescribed by the zeroth law of thermodynamics. This new nonadditivity generalizes in a simple way the usual one and can be proved to lead uniquely to the -entropy.
Cite
@article{arxiv.cond-mat/0305398,
title = {Applying incomplete statistics to nonextensive systems with different $q$ indices},
author = {L. Nivanen and M. Pezeril and Q. A. Wang and A. Le Mehaute},
journal= {arXiv preprint arXiv:cond-mat/0305398},
year = {2007}
}
Comments
11 pages, TeX, no figure, accepted by Chaos, Solitons & Fractals (2005)