Scalar equations for transport coefficients of a dilute gas in an applied field

摘要

The linearized Waldmannndash;Snider equation leads to wellhyphen;known tensor equations which determine the transport coefficients. In this paper, the equations for the shear viscosity and thermal conductivity in an applied magnetic field are discussed. Exact simplifications are derived, leading to an equivalent set of simpler equations which are scalar with respect to the symmetry group,Cinfin;v, of the gas. These equations make it convenient to use larger basis sets when solving for the transport coefficients. Approximate solutions having the qualitative form discussed by Coope and Snider may be readily developed.