Effective Confinement as Origin of the Equivalence of Kinetic Temperature and Fluctuation-Dissipation Ratio in a Dense Shear Driven Suspension
arXiv:1111.3589 · doi:10.1103/PhysRevE.85.021103
Abstract
We study response and velocity autocorrelation functions for a tagged particle in a shear driven suspension governed by underdamped stochastic dynamics. We follow the idea of an effective confinement in dense suspensions and exploit a time-scale separation between particle reorganization and vibrational motion. This allows us to approximately derive the fluctuation-dissipation theorem in a "hybrid" form involving the kinetic temperature as an effective temperature and an additive correction term. We show numerically that even in a moderately dense suspension the latter is negligible. We discuss similarities and differences with a simple toy model, a single trapped particle in shear flow.
References in corpus (12)
- Fluctuation-Dissipation: Response Theory in Statistical Physics
- Fluctuations and response of nonequilibrium states
- The Einstein relation generalized to non-equilibrium
- Efficient measurement of linear susceptibilities in molecular simulations: Application to aging supercooled liquids
- Fluctuation-dissipation ratios in the dynamics of self-assembly
- Extended Fluctuation-Dissipation Theorem for Soft Matter in Stationary Flow
- Predicting the self-assembly of a model colloidal crystal
- Fluctuation dissipation relations in stationary states of interacting Brownian particles under shear
- On universality in aging ferromagnets
- Mobility and Diffusion of a Tagged Particle in a Driven Colloidal Suspension
- Driven Soft Matter: Entropy Production and the Fluctuation-Dissipation Theorem
- Effective temperatures of a driven, strongly anisotropic Brownian system
Cited by in corpus (4)
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- Brownian systems perturbed by mild shear: Comparing response relations
- Weighted average temperature as the effective temperature of a system in contact with two thermal baths