Statistical mechanics of non-dissipative non-equilibrium states

Following on from our work on the application of the FT to glassy systems, we have developed a quantitative statistical mechanical theory that can be applied to nonergodic, time-independent, non-dissipative non-equilibrium systems. The theory requires that the ergodic subdomains, into which these systems decompose themselves, should be robust with respect to small but finite changes of macroscopic state variables and fields. We show that the ergodic consistency condition required by the Evans-Searles FT provides an independent check on the robustness condition.