On Non-Equilibrium Corrections to the Thermodynamic Variables in a Fluid Under Shear

The non-equilibrium equations of state for the absolute temperature and the thermodynamic pressure are obtained for a simple fluid under shear in the scheme of extended irreversible thermodynamics. In order to compare the results with those of molecular dynamic computations, we propose a generalization of the theory, which allows to account for non-analytic contributions to the pressure, for non-newtonian behaviour of the fluid and for the appearance of long-time tails in the pressure autocorrelation function. © Copyright 1982, by Walter de Gruyter & Co.