Hydrodynamic correlations in shear flow: A Multiparticle--Collision--Dynamics simulation study

Abstract

The nonequilibrium hydrodynamic correlations of a Multiparticle-Collision-Dynamics (MPC) fluid in shear flow are studied by analytical calculations and simulations. The Navier-Stokes equations for a MPC fluid are linearized about the shear flow and the hydrodynamic modes are evaluated as an expansion in the momentum vector. The shear-rate dependence and anisotropy of the transverse and longitudinal velocity correlations are analyzed. We demonstrate that hydrodynamic correlations in shear flow are anisotropic, specifically, the two transverse modes are no longer identical. In addition, our simulations reveal the directional dependence of the frequency and attenuation of the longitudinal velocity correlation function. Furthermore, the velocity autocorrelation functions of a tagged fluid particle in shear flow are determined. The simulations results for various hydrodynamic correlations agree very well with the theoretical predictions.

8 pages, 5 figures

References in corpus (4)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Multi-Particle Collision Dynamics -- a Particle-Based Mesoscale Simulation Approach to the Hydrodynamics of Complex Fluids
• Thermostat for non-equilibrium multiparticle collision dynamics simulations
• Spatial correlations in sheared isothermal liquids : From elastic particles to granular particles

Cited by in corpus (3)

• Molecular dynamics study of shear-induced long-range correlations in simple fluids
• Spatial correlations of hydrodynamic fluctuations in simple fluids under shear flow: A mesoscale simulation study
• Analytical and Computational Studies of Correlations of Hydrodynamic Fluctuations in Shear Flow