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Hydrodynamic correlations in shear flow: Multiparticle-collision-dynamics simulation study.

Anoop Varghese1, Chien-Cheng Huang1, Roland G Winkler1

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Summary
This summary is machine-generated.

This study explores nonequilibrium hydrodynamic correlations in multiparticle-collision-dynamics (MPC) fluids under shear flow. Results show anisotropic correlations and directional dependence, validating theoretical predictions with simulations.

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Area of Science:

  • Fluid dynamics
  • Non-equilibrium statistical mechanics
  • Computational physics

Background:

  • Understanding fluid behavior under shear is crucial in many physical systems.
  • Nonequilibrium hydrodynamic correlations govern transport properties.
  • Multiparticle Collision Dynamics (MPC) is a mesoscopic simulation method for fluids.

Purpose of the Study:

  • To investigate the nonequilibrium hydrodynamic correlations of MPC fluids in shear flow.
  • To analyze the shear-rate dependence and anisotropy of velocity correlations.
  • To compare analytical predictions with simulation results.

Main Methods:

  • Linearization of Navier-Stokes equations for MPC fluids around shear flow.
  • Evaluation of hydrodynamic modes via wave vector expansion.
  • Conducting MPC simulations to study velocity correlations.

Main Results:

  • Hydrodynamic correlations in shear flow are anisotropic, with distinct transverse modes.
  • Simulations reveal directional dependence in the frequency and attenuation of longitudinal velocity correlations.
  • Velocity autocorrelation functions for tagged particles in shear flow were determined.

Conclusions:

  • Hydrodynamic correlations in MPC fluids exhibit significant anisotropy under shear.
  • Simulation results closely match theoretical predictions, validating the analytical framework.
  • The study provides insights into the complex dynamics of fluids far from equilibrium.