Equilibrium distribution functions of a homogeneous multicomponent gas mixture; inequality of partial temperatures

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It is shown that the partial temperatures of a homogeneous multicomponent gas mixture in the thermodynamical equilibrium cannot be equal to each other. New general solutions for equilibrium distribution functions of the multicomponent mixture are found. Parameters (including partial temperatures) involved in these solutions are determined by means of physical conditions which follow from a notion of the stable thermodynamical equilibrium. The found relations of the partial temperatures to the mean mixture temperature are dependent on the molecular weights and concentrations of the components. Some possible consequences of the developed approach are discussed.