Upper and Lower Bounds on Transport Coefficients Arising from a Linearized Boltzmann Equation

Abstract

A systematic approach to the construction of upper and lower bounds for transport coefficients is presented for systems described by a linearized Boltzmann equation. The usefulness and efficacy of the bounds is tested by applying them to a particular Boltzmann equation whose solution is known. One easily calculable bound is found to differ from the exact result by less than 0.03%.