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Dynamic correlations in stochastic rotation dynamics.

E Tüzel1, T Ihle, D M Kroll

  • 1School of Physics and Astronomy, University of Minnesota, 116 Church Street SE, Minneapolis, MN 55455, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 7, 2007
PubMed
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This study measures dynamic correlation functions in stochastic rotation dynamics (SRD) to determine transport coefficients. It confirms zero bulk viscosity for SRD and analyzes corrections to self-diffusion and shear viscosity.

Area of Science:

  • Computational physics
  • Fluid dynamics
  • Statistical mechanics

Background:

  • Stochastic Rotation Dynamics (SRD) is a particle-based algorithm for simulating fluctuating hydrodynamics.
  • Accurate determination of transport coefficients is crucial for understanding fluid behavior.

Purpose of the Study:

  • To measure dynamic correlation functions for SRD, specifically the dynamic structure factor, vorticity, and entropy density.
  • To obtain unbiased longitudinal transport coefficients, including thermal diffusivity and bulk viscosity.
  • To analyze corrections to self-diffusion and shear viscosity at small mean free paths.

Main Methods:

  • Measurement of dynamic structure factor, vorticity, and entropy density dynamic correlation functions.
  • Analysis of corrections to transport coefficients arising from the breakdown of molecular chaos approximation.

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  • Analytical derivation of collision partner probabilities for small mean free paths.

    • Main Results:

    • Unbiased values for thermal diffusivity and bulk viscosity were obtained.
    • For the first time, it is demonstrated that the bulk viscosity for the SRD algorithm is zero.
    • Leading order correlation corrections to self-diffusion and shear viscosity were derived.
    • Analytical expressions for transport coefficients accurately describe the SRD fluid.

    Conclusions:

    • The study provides a comprehensive understanding of the SRD algorithm at the kinetic level.
    • SRD is validated as an accurate method for simulating fluctuating hydrodynamics.
    • Analytic expressions for transport coefficients are confirmed to be highly accurate for SRD simulations.