General Entropy Production Based on Dynamical Analysis

Abstract

The classical expression for entropy production is a bilinear product of generalized forces and fluxes. The combination of the Cattaneo-Vernotte model with the classical entropy expression gives a non-quadratic form, which needs to be mended to avoid the paradox of negative entropy production. Based on the thermomass theory, it is shown that the entropy production corresponds to the dissipation of the mechanical energy of thermomass flow. Therefore, the generalized forces in the entropy production should be the friction force rather than the driving force. The friction force is proportional to the heat flux. The general entropy production is thus derived as a quadratic form of heat flux, avoiding the paradox of the negative entropy production. The generalized forces and fluxes in other irreversible transport processes are investigated following the similar framework. The friction forces, driving forces and drift velocities are clarified for these transports and the general entropy production for various transport processes are derived.