Fluctuation-dissipation relation in a sheared fluid

Abstract

In a fluid out of equilibrium, the fluctuation dissipation theorem (FDT) is usually violated. Using molecular dynamics simulations, we study in detail the relationship between correlation and response functions in a fluid driven into a stationary non-equilibrium state. Both the high temperature fluid state and the low temperature glassy state are investigated. In the glassy state, the violation of the FDT is quantitatively identical to the one observed previously in an aging system in the absence of external drive. In the fluid state, violations of the FDT appear only when the fluid is driven beyond the linear response regime, and are then similar to those observed in the glassy state. These results are consistent with the picture obtained earlier from theoretical studies of driven mean-field disordered models, confirming the similarity between these models and real glasses.

4 pages, latex, 3 ps figures

References in corpus (6)

• Two-time scales, two-temperature scenario for nonlinear rheology
• Observation of Fluctuation-Dissipation-Theorem Violations in a Structural Glass
• Aging as dynamics in configuration space
• Quasi-equilibrium interpretation of aging dynamics
• Fluctuations, response and aging dynamics in a simple glass-forming liquid out of equilibrium
• Off-Equilibrium Effective Temperature in Monatomic Lennard-Jones Glass

Cited by in corpus (58)

• Theoretical perspective on the glass transition and amorphous materials
• Amorphous Systems in Athermal, Quasistatic Shear
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• Theory of nonlinear rheology and yielding of dense colloidal suspensions
• Nonequilibrium dynamics and fluctuation-dissipation relation in a sheared fluid
• Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state
• Shear localization in a model glass
• Effective Temperatures of a Driven System Near Jamming
• Shear-transformation-zone theory of plastic deformation near the glass transition
• Shearing a Glassy Material: Numerical Tests of Nonequilibrium Mode-Coupling Approaches and Experimental Proposals
• Shear yielding of amorphous glassy solids: Effect of temperature and strain rate
• Schematic models for dynamic yielding of sheared colloidal glasses
• Nonequilibrium Thermodynamics of Amorphous Materials II: Effective-Temperature Theory
• Fluctuation theorem for non-equilibrium relaxational systems driven by external forces
• Activated dynamics and effective temperature in a steady state sheared glass
• Experimental measurement of an effective temperature for jammed granular materials
• Supercooled Liquids Under Shear: Theory and Simulation
• Fluctuation relations in simple examples of non-equilibrium steady states
• Glass transitions and shear thickening suspension rheology
• The universal emergence of self-affine roughness from deformation
• Steady-state, effective-temperature dynamics in a glassy material
• Effective Temperatures in Driven Systems: Static vs. Time-Dependent Relations
• Effective temperatures and activated dynamics for a two-dimensional air-driven granular system on two approaches to jamming
• Extended Fluctuation-Dissipation Theorem for Soft Matter in Stationary Flow
• Mode-coupling theory and the fluctuation-dissipation theorem for nonlinear Langevin equations with multiplicative noise
• Effective temperature in driven vortex lattices with random pinning
• Nonlinear rheology of Laponite suspensions under an external drive
• Shear-induced anisotropic decay of correlations in hard-sphere colloidal glasses
• Particle dynamics and effective temperature of jammed granular matter in a slowly sheared 3D Couette cell
• Boundary lubrication with a glassy interface
• On the effect of the thermostat in non-equilibrium molecular dynamics simulations
• Correlations of non-affine displacements in metallic glasses through the yield transition
• Yield stress, heterogeneities and activated processes in soft glassy materials
• A statics-dynamics equivalence through the fluctuation-dissipation ratio provides a window into the spin-glass phase from nonequilibrium measurements
• Nanoscale dynamics and the fluctuation-dissipation-relation in an aging polymer glass
• Critical active dynamics is captured by a colored-noise driven field theory
• Isomorph invariance of Couette shear flows simulated by the SLLOD equations of motion
• Langevin simulations of the out-of-equilibrium dynamics of the vortex glass in high-temperature superconductors
• Controlled neighbor exchanges drive glassy behavior, intermittency and cell streaming in epithelial tissues
• Dependence of the fluctuation-dissipation temperature on the choice of observable
• On the definition of temperature in dense granular media
• Generalized fluctuation relation and effective temperatures in a driven fluid
• Effective temperature of a dissipative driven mesoscopic system
• Correlation Functions and Fluctuation-Dissipation Relation in Driven Mixtures: an exactly solvable model
• Active microrheology of a bulk metallic glass
• Nonequilibrium fluctuation dissipation relations of interacting Brownian particles driven by shear
• Equivalence of driven and ageing fluctuation-dissipation relations in the trap model
• Ratio of effective temperature to pressure controls the mobility of sheared hard spheres
• Crossover between Equilibrium and Shear-controlled Dynamics in Sheared Liquids
• Effects of an external drive on the fluctuation-dissipation relation of phase-ordering systems
• Effective temperatures of a driven, strongly anisotropic Brownian system
• Violation of the fluctuation-dissipation theorem and effective temperatures in spin ice
• Simultaneous and accurate measurement of the dielectric constant at many frequencies spanning a wide range
• Quasi-equilibrium during aging of the 2D Edwards-Anderson model
• Entropy-based characterizations of the observable-dependence of the fluctuation-dissipation temperature
• The approach to steady state in microemulsions under shear flow
• Slow nonequilibrium dynamics: parallels between classical and quantum glasses and gently driven systems
• Generalized hydrodynamics of a dilute finite-sized particles suspension: Dynamic viscosity