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Stationary distribution functions for ohmic Tokamak-plasmas in the weak-collisional transport regime by MaxEnt principle

Part of: Focus on Fusion

Published online by Cambridge University Press:  10 September 2014

Giorgio Sonnino ,
Philippe Peeters ,
Alberto Sonnino ,
Pasquale Nardone  and
György Steinbrecher
Giorgio Sonnino*
Affiliation:
Department of Theoretical Physics and Mathematics, Université Libre de Bruxelles (U.L.B.), Campus de la Plaine C.P. 231 - Bvd du Triomphe, 1050 Brussels - Belgium Royal Military School (RMS), Av. de la Renaissance 30, 1000 Brussels, Belgium
Philippe Peeters
Affiliation:
Department of Physics, Université Libre de Bruxelles (U.L.B.), Campus de la Plaine C.P. 231 - Bvd du Triomphe, 1050 Brussels - Belgium
Alberto Sonnino
Affiliation:
Ecole Polytechnique de Louvain (EPL), Université Catholique de Louvain (UCL), Rue Archimède, 1 bte L6.11.01, 1348 Louvain-la-Neuve, Belgium
Pasquale Nardone
Affiliation:
Department of Physics, Université Libre de Bruxelles (U.L.B.), Campus de la Plaine C.P. 231 - Bvd du Triomphe, 1050 Brussels - Belgium
György Steinbrecher
Affiliation:
Faculty of Exact Sciences, University of Craiova, Str.A.I.Cuza Street 13, Craiova-200585, Romania
*
†Email address for correspondence: gsonnino@ulb.ac.be
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Abstract

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 theorem. In this paper we demonstrate that it is possible to reobtain these DDF solely from the MaxEnt principle subject to suitable scale invariant restrictions in all the variables. For the sake of concreteness, we analyse the example of ohmic, fully ionized, tokamak-plasmas, in the weak-collisional transport regime. In this case we show that it is possible to reinterpret the stationary distribution function in terms of the Prigogine distribution function where the logarithm of the DDF is directly linked to the entropy production of the plasma. This leads to the suggestive idea that also the stationary neoclassical distribution functions, for magnetically confined plasmas in the collisional transport regimes, may be derived solely by the MaxEnt principle.

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 1 , January 2015 , 905810116
Copyright
Copyright © Cambridge University Press 2014 

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