Zobrazeno 1 - 10
of 36
pro vyhledávání: '"Steinbrecher, György"'
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 maximiza
Externí odkaz:
http://arxiv.org/abs/1606.08730
Autor:
Steinbrecher, György, Sonnino, Giorgio
In many applications, the probability density function is subject to experimental errors. In this work the continuos dependence of a class of generalized entropies on the experimental errors is studied. This class includes the C. Shannon, C. Tsallis,
Externí odkaz:
http://arxiv.org/abs/1603.06240
Autor:
Steinbrecher, György, Sonnino, Giorgio
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, without any information on the explicit form of evolution laws. We suppose
Externí odkaz:
http://arxiv.org/abs/1512.06108
Publikováno v:
Phys. Rev. E 94, 042103 (2016)
We describe the Lie group and the group representations associated to the nonlinear Thermodynamic Coordinate Transformations (TCT). The TCT guarantee the validity of the Thermodynamic Covariance Principle (TCP) : {\it The nonlinear closure equations,
Externí odkaz:
http://arxiv.org/abs/1512.04810
The problem of embedding the Tsallis and R\'{e}nyi entropies in the framework of category theory and their axiomatic foundation is studied. To this end, we construct a special category MES related to measured spaces. We prove that both of the R\'{e}n
Externí odkaz:
http://arxiv.org/abs/1504.05552
We derive the differential equation, which is satisfied by the ITER scalings for the dynamic energy confinement time. We show that this differential equation can also be obtained from the differential equation for the energy confinement time, derived
Externí odkaz:
http://arxiv.org/abs/1412.5935
Autor:
Sonnino, Giorgio, Peeters, Philippe, Sonnino, Alberto, Nardone, Pasquale, Steinbrecher, György
In previous works, we derived stationary density distribution functions (DDF) where the local equilibrium is determined by imposing the maximum entropy (MaxEnt) principle, under the scale invariance restrictions, and the minimum entropy production th
Externí odkaz:
http://arxiv.org/abs/1404.5329
The equivalence between non-extensive C. Tsallis entropy and the extensive entropy introduced by Alfr\'ed R\'enyi is discussed. The R\'enyi entropy is studied from the perspective of the geometry of the Lebesgue and generalised, exotic Lebesgue space
Externí odkaz:
http://arxiv.org/abs/1402.5909
Autor:
Sonnino, Giorgio, Steinbrecher, György
Starting from the geometrical interpretation of the R\'enyi entropy, we introduce further extensive generalizations and study their properties. In particular, we found the probability distribution function obtained by the MaxEnt principle with genera
Externí odkaz:
http://arxiv.org/abs/1311.4790
Autor:
Sonnino, Giorgio, Cardinali, Alessandro, Peeters, Philippe, Steinbrecher, György, Sonnino, Alberto
A general approach for deriving the expression of reference distribution functions by statistical thermodynamics is illustrated, and applied to the case of a magnetically confined plasma. The local equilibrium is defined by imposing the minimum entro
Externí odkaz:
http://arxiv.org/abs/1305.5921