MaxEnt, second variation, and generalized statistics
Statistical Mechanics
2015-11-16 v2 Mathematical Physics
math.MP
Classical Physics
Abstract
There are two kinds of Tsallis-probability distributions: heavy tail ones and compact support distributions. We show here, appealing to functional analysis' tools, that for lower bound Hamiltonians only the first type guarantees a maximum for Tsallis-entropy. In the compact support instance, a case by case analysis is necessary in order to tackle the issue.
Keywords
Cite
@article{arxiv.1503.07580,
title = {MaxEnt, second variation, and generalized statistics},
author = {A. Plastino and M. C. Rocca},
journal= {arXiv preprint arXiv:1503.07580},
year = {2015}
}
Comments
Enlarged version. 22 pages. No figures