TIME REVERSAL SYMMETRY AND NON-EQUILIBRIUM STATISTICAL STATIONARY STATES (II)

This is the 2nd part of our discussion on time reversal symmetry applied to the non-equilibrium statistical stationary states (NESS) from a microscopic quantum statistical point of view. With the application of the main results of I, a systematic investigation on the general properties of the NESS is given. For systems invariant under time reversal, the existence of a generalized potential and the fluctuation-dissipation theorem in the low frequency limit are established in the NESS. The Onsager's reciprocity relations for the local thermodynamical equilibrium systems are also generalized to that for the NESS invariant under time reversal symmetry. Finally, the time dependent 'Ginzburg-Landan equations for order parameters and conserved densities have been expressed in a general form with time irreversible and reversible parts similar to that met in the literatures studying critical dynamics.