On the formulation of extended thermodynamics in the case of fractional exclusion statistics.
Abstract
We consider the non-equilibrium theory for the fractional exclusion statistics (FES) by using the Maximum Entropy Principle and the Entropy Principle. The entropy balance equation is determined and the statistical consequence of theory are discussed. Both the entropy and its flux are computed explicitly in terms of the non-equilibrium Lagrange multipliers while, by using a general expression for the energy dispersion relation, some thermodynamic properties connected with the convexity conditions of the entropy are explicitly analyzed. Finally, for an ideal gas subject to FES, the construction of an arbitrary set of closed hydrodynamic equations, in the context of Extended Thermodynamics, is briefly illustrated.
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