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arXiv · 1606.08730

Maximal entropy distribution functions from generalized R\'enyi entropy

György Steinbrecher·Giorgio Sonnino·Nicolae Pometescu
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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.

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György Steinbrecher, Giorgio Sonnino, Nicolae Pometescu. 2016-06-25. Maximal entropy distribution functions from generalized R\'enyi entropy. https://arxiv.org/abs/1606.08730

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