Kinetic Theory of Loaded Spheres. I

Abstract

A rigorous formalism is developed for the theory of transport in fluids composed of loaded-sphere molecules. From this theory formulas are derived for the fluxes of mass, linear momentum, internal or spin angular momentum, and energy. The existence of inverse collisions is established and used to prove a weak form of the Boltzmann H theorem. Finally, we present a kinetic theory for dilute multicomponent mixtures of loaded spheres and derive explicit formulas for the phenomenological gas transport coefficients. Since the only critical assumption imbedded within this treatment is that of molecular chaos, it appears that our theory for loaded spheres shares the ``rigor'' of the Chapman—Enskog theory for structureless molecular species. Detailed numerical calculations of transport coefficients will be communicated in a subsequent paper of this series.