Correlation Functions and Fluctuation-Dissipation Relation in Driven Mixtures: an exactly solvable model

TL;DR

This paper presents an exactly solvable model for driven binary mixtures, analyzing phase transitions, non-equilibrium stationary states, aging dynamics, and fluctuation-dissipation relations under shear flow.

Contribution

It introduces an analytical solution for the dynamics of a driven binary system with a non-conserved order parameter, revealing phase transition behavior and off-equilibrium fluctuation-dissipation relations.

Findings

Identification of a phase transition at a critical temperature T_c(γ)

Characterization of non-equilibrium stationary states and aging dynamics

Derivation of the off-equilibrium fluctuation-dissipation theorem

Abstract

The dynamics of a binary system with non conserved order parameter under a plain shear flow with rate $\gamma $ is solved analytically in the large-N limit. A phase transition is observed at a critical temperature $T_c(\gamma)$. After a quench from a high temperature equilibrium state to a lower temperature $T$ a non-equilibrium stationary state is entered when $T>T_c(\gamma)$, while aging dynamics characterizes the phases with $T\leq T_c(\gamma)$. Two-time quantities are computed and the off-equilibrium generalization of the fluctuation-dissipation theorem is provided.