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

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 $T\le T_c(\gamma )$. Two-time quantities are computed and the off-equilibrium generalization of the fluctuation-dissipation theorem is provided.

32 pages

References in corpus (5)

• Observable-dependence of fluctuation-dissipation relations and effective temperatures
• Slow relaxation in the large N model for phase ordering
• On the connection between off-equilibrium response and statics in non disordered coarsening systems
• Ordering of the lamellar phase under a shear flow
• Effects of an external drive on the fluctuation-dissipation relation of phase-ordering systems

Cited by in corpus (13)

• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• The effective temperature
• Fluctuation theorem for non-equilibrium relaxational systems driven by external forces
• Fluctuation dissipation relations in stationary states of interacting Brownian particles under shear
• Long-range phase order in two dimensions under shear flow
• Effective temperature of a dissipative driven mesoscopic system
• The fluctuation-dissipation relation in an Ising model without detailed balance
• Nonequilibrium fluctuation dissipation relations of interacting Brownian particles driven by shear
• Ageing in bosonic particle-reaction models with long-range transport
• Stationarization and Multithermalization in spin glasses
• Correlations and forces in sheared fluids with or without quenching
• Fluctuation relations in non-equilibrium stationary states of Ising models
• Heat exchanges in coarsening systems