3 citations · 9 across the 6 of their papers we have counts for
6 papers
Maximal entropy distribution functions from generalized Rényi entropy
György Steinbrecher, Giorgio Sonnino, Nicolae Pometescu
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…
Generalized Rényi Entropy and Structure Detection of Complex Dynamical Systems
György Steinbrecher, Giorgio Sonnino
We study the problem of detecting the structure of a complex dynamical system described by a set of deterministic differential equation that contains a Hamiltonian subsystem, witho…
The Rényi entropy of Lévy distribution
Giorgio Sonnino, György Steinbrecher, Alberto Sonnino
The equivalence between non-extensive C. Tsallis entropy and the extensive entropy introduced by Alfréd Rényi is discussed. The Rényi entropy is studied from the perspective of the…
Reference Distribution Functions for Magnetically Confined Plasmas from the Minimum Entropy Production Theorem and the MaxEnt Principle, subject to the Scale-Invariant Restrictions
Giorgio Sonnino, Alessandro Cardinali, Gyorgy Steinbrecher +3
We derive the expression of the reference distribution function for magnetically confined plasmas far from the thermodynamic equilibrium. The local equilibrium state is fixed by im…
General Approach for Deriving Reference Distribution Functions for Systems out of Equilibrium by Statistical Thermodynamics
Giorgio Sonnino, Alessandro Cardinali, Mustapha Tlidi +3
A general approach for deriving the expression of reference (density of) distribution functions, F^0, by statistical thermodynamics and the definition of local equilibrium conditio…
Large time behavior in random multiplicative processes
Gyorgy Steinbrecher, Xavier Garbet, Boris Weyssow
In a general class of one dimensional random differential equation the convergence of the distribution function of the solution to stationary state distribution is studied. In part…