Maximal entropy distribution functions from generalized R\'enyi entropy
Statistical Mechanics
2016-11-22 v3
Abstract
New class of reference distribution functions for numerical approximation of the solution of the Fokker-Planck equations associated to the charged particle dynamics in tokamak are studied. The reference distribution functions are obtained by maximization of the generalized Renyi entropy under scale-invariant restrictions. Explicit analytic form, with algebraic decay, that is a generalization of the previous distribution with exponential tails was derived.
Keywords
Cite
@article{arxiv.1606.08730,
title = {Maximal entropy distribution functions from generalized R\'enyi entropy},
author = {György Steinbrecher and Giorgio Sonnino and Nicolae Pometescu},
journal= {arXiv preprint arXiv:1606.08730},
year = {2016}
}
Comments
18 pages, 0 figures. arXiv admin note: text overlap with arXiv:1603.06240