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Related Experiment Videos

Model system for classical fluids out of equilibrium.

M Ripoll1, M H Ernst

  • 1Institut für Festkörperforschung, Forschungszentrum Jülich - 52425 Jülich, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 21, 2005
PubMed
Summary

This study introduces a dissipative particles dynamics (DPD) solid model to explore classical fluid transport properties. The model accurately predicts heat transport across all densities, revealing a conductivity threshold at lower densities.

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Area of Science:

  • Physics
  • Computational Physics
  • Non-equilibrium Statistical Mechanics

Background:

  • Classical fluids exhibit complex transport properties influenced by density.
  • Dissipative Particle Dynamics (DPD) offers a mesoscopic model for fluid systems.
  • Understanding transport phenomena across density regimes is crucial for fluid dynamics.

Purpose of the Study:

  • To develop and analyze a dissipative particles dynamics (DPD) solid model for classical fluids out of equilibrium.
  • To investigate the density dependence of transport properties, particularly heat transport.
  • To bridge the gap between high-density collisional transport and low-density kinetic transport.

Main Methods:

  • Analytical methods and numerical simulations were employed.

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  • A fluctuating heat equation describes the DPD particle time evolution.
  • Mean-field theory was used to calculate heat diffusivity.
  • Percolation theory was applied to understand low-density transport.

    • Main Results:

    • A linear density dependence of heat diffusivity was found, exact at high densities.
    • A conductivity threshold was identified at lower densities, explained by percolation diffusion.
    • The model successfully covers transport properties across the full density range by combining collisional and kinetic mechanisms.
    • Generalized hydrodynamic regimes were explored, calculating wave-number-dependent decay rates.

    Conclusions:

    • The DPD solid model provides a unified framework for understanding classical fluid transport.
    • The identified conductivity threshold and its percolation-based explanation offer new insights into low-density behavior.
    • The extended kinetic theory advances the study of generalized hydrodynamics in DPD systems.