Density operators that extremize Tsallis entropy and thermal stability effects
Statistical Mechanics
2009-11-11 v1
Abstract
Quite general, analytical (both exact and approximate) forms for discrete probability distributions (PD's) that maximize Tsallis entropy for a fixed variance are here investigated. They apply, for instance, in a wide variety of scenarios in which the system is characterized by a series of discrete eigenstates of the Hamiltonian. Using these discrete PD's as "weights" leads to density operators of a rather general character. The present study allows one to vividly exhibit the effects of non-extensivity. Varying Tsallis' non-extensivity index one is seen to pass from unstable to stable systems and even to unphysical situations of infinite energy.
Cite
@article{arxiv.cond-mat/0505158,
title = {Density operators that extremize Tsallis entropy and thermal stability effects},
author = {C. Vignat and A. Plastino},
journal= {arXiv preprint arXiv:cond-mat/0505158},
year = {2009}
}
Comments
22 pages