Nonequilibrium mode-coupling theory for uniformly sheared systems
arXiv:0811.2120 · doi:10.1103/PhysRevE.79.021203
Abstract
We develop a nonequilibrium mode-coupling theory for uniformly sheared systems starting from microscopic, thermostatted SLLOD equations of motion. Our theory aims at describing stationary-state properties including rheological ones of sheared systems, and this is accomplished via two steps. Firstly, a set of self-consistent equations is formulated based on the projection-operator formalism and on the mode-coupling approach for the transient density correlators which measure the correlations between the density fluctuations in the initial equilibrium state and the ones at later times after the shearing force is turned on. The transient time-correlation function formalism is then used which, combined with the mode-coupling approximation, expresses stationary-state properties in terms of the transient density correlators. A detailed comparison of our theory is also presented with the related mode-coupling theory which is based on the Smoluchowski equation for Brownian particles under stationary shearing.
References in corpus (16)
- Dynamics of Highly Supercooled Liquids:Heterogeneity, Rheology, and Diffusion
- Theory of nonlinear rheology and yielding of dense colloidal suspensions
- Nonequilibrium dynamics and fluctuation-dissipation relation in a sheared fluid
- Three-dimensional imaging of colloidal glasses under steady shear
- How does the relaxation of a supercooled liquid depend on its microscopic dynamics?
- Schematic models for dynamic yielding of sheared colloidal glasses
- Supercooled Liquids Under Shear: Theory and Simulation
- A Molecular Hydrodynamic Theory of Supercooled Liquids and Colloidal Suspensions under Shear
- Independence of the relaxation of a supercooled fluid of its microscopic dynamics: need for yet another extension of the mode-coupling theory
- Chaotic dynamics, fluctuations, nonequilibrium ensembles
- Integration through transients for Brownian particles under steady shear
- Yield Stress Discontinuity in a Simple Glass
- Non equilibrium mode coupling theory for supercooled liquids and glasses
- Long-Ranged Correlations in Sheared Fluids
- Spatial correlations in sheared isothermal liquids : From elastic particles to granular particles
- Mode-coupling theory of sheared dense granular liquids
Cited by in corpus (11)
- A mode coupling theory for Brownian particles in homogeneous steady shear flow
- A First-Principles Constitutive Equation for Suspension Rheology
- Critical behaviors of sheared frictionless granular materials near jamming transition
- First-Principles Constitutive Equation for Suspension Rheology
- Rheology of inelastic hard spheres at finite density and shear rate
- Nonequilibrium mode-coupling theory for uniformly sheared underdamped systems
- Integration through transients for inelastic hard sphere fluids
- Brownian systems perturbed by mild shear: Comparing response relations
- Using the fluctuation-dissipation theorem for nonconservative forces
- The glass susceptibility: growth kinetics and saturation under shear
- Understanding the approximations of mode-coupling theory for sheared steady states of colloids