Reference distribution functions for magnetically confined plasmas from the minimum entropy production theorem and the MaxEnt principle, subject to the scale-invariant restrictions

Sonnino, Giorgio;Cardinali, Alessandro;Steinbrecher, Gyorgy;Peeters, Philippe;Nardone, Pasquale;et.al.
(2013) Physics Letters. Section A: General, Atomic and Solid State Physics — Vol. 377, n° 43, p. 3071-3077 (2013)

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  • Sonnino, GiorgioUniversité Libre de Bruxelles (U.L.B.), Department of Physics, Brussels, Belgium
    Author
  • Cardinali, AlessandroEURATOM-ENEA Fusion Association, Rome, Italy
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  • Steinbrecher, GyorgyEURATOM-MEdC Fusion Association, Physics Faculty, University of Craiova, Romania
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  • Peeters, PhilippeUniversité Libre de Bruxelles (U.L.B.), Department of Physics, Brussels, Belgium
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  • Sonnino, AlbertoUCLouvain
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  • Nardone, PasqualeUniversité Libre de Bruxelles (U.L.B.), Department of Physics, Brussels, Belgium
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Abstract
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 imposing the minimum entropy production theorem and the maximum entropy (MaxEnt) principle, subject to scale invariance restrictions. After a short time, the plasma reaches a state close to the local equilibrium. This state is referred to as the reference state. The aim of this Letter is to determine the reference distribution function (RDF) when the local equilibrium state is defined by the above mentioned principles. We prove that the RDF is the stationary solution of a generic family of stochastic processes corresponding to an universal Landau-type equation with white parametric noise. As an example of application, we consider a simple, fully ionized, magnetically confined plasmas, with auxiliary Ohmic heating. The free parameters are linked to the transport coefficients of the magnetically confined plasmas, by the kinetic theory. © 2013 Elsevier B.V.
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Sonnino, G., Cardinali, A., Steinbrecher, G., Peeters, P., Sonnino, A., & Nardone, P. (2013). Reference distribution functions for magnetically confined plasmas from the minimum entropy production theorem and the MaxEnt principle, subject to the scale-invariant restrictions. Physics Letters. Section A: General, Atomic and Solid State Physics, 377(43), 3071-3077. https://doi.org/10.1016/j.physleta.2013.09.017 (Original work published 2013)