Giorgio Sonnino, Alessandro Cardinali, Mustapha Tlidi, Philippe Peeters, György Steinbrecher, Alexander Milovanov
A general approach for deriving the expression of reference (density of) distribution functions, F^0, by statistical thermodynamics and the definition of local equilibrium conditions is illustrated. Even though, this procedure may be adopted for a system subjected to an arbitrary number of thermodynamic forces, as a concrete example of application, we analyze the case of a system submitted to three independent thermodynamic forces and the local equilibrium corresponds to the configuration of minimum entropy production condition and the maximum entropy principle. In this limit case, we show that the derived expression of distribution function is more general than that one, which is currently used for fitting the numerical steady-state solution obtained by simulating the Ion Cyclotron Radiation Heating (ICRH) FAST-plasmas and for describing various scenarios of tokamak plasmas. Through kinetic theory, we fixed the free parameters linking them with the external energy sources. The inverse problem has also been analyzed. We determine a wide class of Fokker-Planck equations admitting this reference distribution function as the steady-state solution. Application to a simple model of tokamak-plasmas submitted to an external Ohmic source is discussed.
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http://arxiv.org/abs/1203.4181
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