Extended Fluctuation-Dissipation Theorem for Soft Matter in Stationary Flow
arXiv:0903.4885 · doi:10.1103/PhysRevE.79.040102
Abstract
For soft matter systems strongly driven by stationary flow, we discuss an extended fluctuation-dissipation theorem (FDT). Beyond the linear response regime, the FDT for the stress acquires an additional contribution involving the observable that is conjugate to the strain rate with respect to the dissipation function. This extended FDT is evaluated both analytically for Rouse polymers and in numerical simulations for colloidal suspensions. More generally, our results suggest an extension of Onsager's regression principle to nonequilibrium steady states.
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References in corpus (12)
- Energy flow, partial equilibration and effective temperatures in systems with slow dynamics
- Nonequilibrium dynamics and fluctuation-dissipation relation in a sheared fluid
- Restoring a fluctuation-dissipation theorem in a nonequilibrium steady state
- The Einstein relation generalized to non-equilibrium
- A First-Principles Constitutive Equation for Suspension Rheology
- Activated dynamics and effective temperature in a steady state sheared glass
- Fluctuation-dissipation relation in a sheared fluid
- Fluctuation relations in simple examples of non-equilibrium steady states
- Role of External Flow and Frame Invariance in Stochastic Thermodynamics
- Integration through transients for Brownian particles under steady shear
- Invariant quantities in shear flow
- Self-diffusion in sheared colloidal suspensions: violation of fluctuation-dissipation relation
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