NONLINEAR RECIPROCITY: STATISTICAL FOUNDATIONS AND APPLICATIONS TO NONLINEAR EFFECTS IN HEAT TRANSPORT AND CHEMICAL REACTIONS

Abstract

Robertson has derived from the Liouville equation an exact equation for the maxent distribution which depends on a set of moments. The exact equations for these moments verify predictions of Grad for the Maxwell and Cattaneo relaxation equations in a dilute gas. Nonlinear reciprocity is applied to estimate contributions quadratic in heat flux Q, to thermal conductivity and to second-order effects in Q, diffusion fIux , and traceless pressure P cd in the reaction rate in a dilute gas mixture. All non-linear effects are too small to see· readily.