Kinetic theory of polyatomic liquids. I. The generalized moment method

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Abstract
It is demonstrated that one can successfully generalize the moment method of dilute gas kinetic theory to a dense fluid composed of polyatomic molecules. The basic premise of the theory is Bogoliubov's assumption of the existence of a functional relationship between the pair and singlet distribution functions. The theory is rendered explicit by selecting for this functional the generalization to polyatomic fluids of a relationship first obtained by Severne and subsequently modified and generalized by Prigogine, Nicolis, and Misguich and by Davis. This leads to a closed set of approximate moment equations from which are extracted explicit, computationally tractable formulas for the characteristic relaxation times and frequency dependent transport coefficients associated with the transport of momentum, energy, and molecular internal angular momentum or spin.