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A model of a mixture with  N  different components is analyzed from a thermodynamic viewpoint with internal variables, both in the presence and absence of viscosity. Thermodiffusion phenomena are described by  N  internal variables ( N  ≥ 2). General thermodynamic restrictions and residual dissipation inequalities are obtained by the Clausius–Duhem inequality.

Thermodynamics of Mixtures as a Problem with Internal Variables. The General Theory