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Transport coefficients for dense hard-disk systems.

Ramón García-Rojo1, Stefan Luding, J Javier Brey

  • 1Institute for Computational Physics, University of Stuttgart, Pfaffenwaldring 27, 70569 Stuttgart, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 7, 2007
PubMed
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This study investigates transport coefficients in hard disk systems using Helfand-Einstein expressions. Viscosity diverges with density near the fluid-solid transition, unlike other coefficients, indicating shear instabilities.

Area of Science:

  • Physics
  • Thermodynamics
  • Materials Science

Background:

  • Transport coefficients govern material properties.
  • Understanding fluid-solid transitions is crucial in condensed matter physics.
  • Helfand-Einstein relations provide a theoretical framework for transport properties.

Purpose of the Study:

  • To compute and analyze transport coefficients (self-diffusion, viscosity, heat conductivity) for elastic hard disks.
  • To investigate the density and size dependence of these coefficients.
  • To compare results with Enskog's theory, particularly near the fluid-solid transition.

Main Methods:

  • Utilizing Helfand-Einstein expressions.
  • Employing event-driven molecular dynamics algorithms.

Related Experiment Videos

  • Applying averaging techniques suitable for periodic boundary conditions.

    • Main Results:

    • Observed a power law divergence in viscosity with increasing density near the fluid-solid transition.
    • Found that self-diffusion and heat conductivity dropped in this density range, deviating from Enskog's predictions.
    • Identified shear band instabilities and dilatancy as potential causes for the observed deviations.

    Conclusions:

    • The behavior of transport coefficients near the fluid-solid transition deviates significantly from theoretical predictions like Enskog's theory.
    • Shear band instabilities and dilatancy play a critical role in the anomalous viscosity divergence.
    • This research offers insights into non-equilibrium phenomena in dense systems.