Kinetic theory of dilute gas mixtures with independent internal energy modes near equilibrium

We extend the kinetic theory of dilute polyatomic gas mixtures to the case where the particles have various internal energy modes. The present theory is valid when the inernal energy modes are mechanically independent and when the various degrees of freedom of the molecules are at zeroth order equilibrium. In this case, we derive new transport linear systems with which to evaluate all the transport coefficients of the mixture. These linear systems are given explicitly in terms of various collision integrals and provide expressions for the volume viscosity, the shear viscosity, the species diffusion coefficients, the thermal diffusion coefficients, and the partial thermal conductivity.