Fluctuation theorems for large stochastic systems

Fluctuation theorems describes the probability of a trajectory between two points in phase space (6n degree of freedom for a system of n particles) relative to its so-called 'anti-trajectory'. How about the transition rate between two macroscopic states characterized by parameter N (for example, a particle cluster consisting of N number of particles)?

Fluctuation theorems have been one of the most important advances in understanding the fundamental physics underlying all those intriguing phenomena displayed by various systems driven arbitrarily far away from equilibrium. While very successful at small systems of only 1 or 2 particles or large deterministic systems, direct extension of these theorems to large stochastic systems is not a simple task. Our study focuses on the colloidal suspensions driven out of equilibrium by shear flow, and try to identify how the fluctuation theorems at microscopic level manifest in the form of macroscopic property/structure changes we observe.