The transition to irreversibility in sheared suspensions: An analysis based on a mesoscopic entropy production
arXiv:0809.0129 · doi:10.1103/PhysRevE.79.031201
Abstract
We study the shear-induced diffusion effect and the transition to irreversibility in suspensions under oscillatory shear flow by performing an analysis of the entropy production associated to the motion of the particles. We show that the Onsager coupling between different contributions to the entropy production is responsible for the scaling of the mean square displacement on particle diameter and applied strain. We also show that the shear-induced effective diffusion coefficient depends on the volume fraction and use Lattice-Boltzmann simulations to characterize the effect through the power spectrum of particle positions for different Reynolds numbers and volume fractions. Our study gives a thermodynamic explanation of the the transition to irreversibility through a pertinent analysis of the second law of thermodynamics.
17 pages, 3 figures, paper submitted tp phys rev e
References in corpus (9)
- Numerical Simulations of Particulate Suspensions via a Discretized Boltzmann Equation Part I. Theoretical Foundation
- Numerical Simulations of Particulate Suspensions via a Discretized Boltzmann Equation Part II. Numerical Results
- Predictability: a way to characterize Complexity
- Deterministic and stochastic behaviour of non-Brownian spheres in sheared suspensions
- Simultaneous Brownian Motion of N Particles in a Temperature Gradient
- Diffusion in Stationary Flow from Mesoscopic Non-equilibrium Thermodynamics
- The ontology of temperature in nonequilibrium systems
- Brownian motion of finite-inertia particles in a simple shear flow
- Stochastic model for the dynamics of interacting Brownian particles