GENERAL PROJECTION OPERATOR-FORMALISM FOR THE DYNAMICS AND THERMODYNAMICS OF COMPLEX FLUIDS

By applying the projection operator method, we derive the general equa tion for the nonequilibrium reversible-irreversible coupling (GENERIC) that, in previous work [Phys. Rev. E 56, 6620 (1997); 56, 6633 (1997) ], was obtained by empirical arguments. We find microscopic expression s for the building blocks of GENERIC, and we generally derive the rule s for passing from any given level of description to a more macroscopi c one. [S1063-651X(98)15802-6].