Transport Properties of Gases with Rotational States. II

When a single-component gas possesses a nonzero but small local angular-momentum density, the left-hand side of the Boltzmann equation used for calculation of the transport coefficients must be modified in order to take into account the noncommutative properties of the internal angular-momentum pseudovector operator J. Such a modified Boltzmann equation is herein obtained and a tensorial expansion of the perturbation function φ in terms of irreducible Cartesian tensors is carried out. Expressions are obtained for the various transport coefficients connected with the pressure tensor, angular-momentum flux tensor, and heat-flux vector in terms of certain tensorial expansion coefficients. In particular, a nonzero local angular-momentum density is found to lead to a number of cross terms in the expressions for the macroscopic fluxes.