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Stokes-Einstein violation for liquids with bounded potentials.

H-O May1, P Mausbach

  • 1University of Applied Sciences, Darmstadt, Germany. helge-otmar_may@web.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 13, 2007
PubMed
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In liquids with bounded interactions, the Stokes-Einstein relation can deviate, showing a linear relationship between viscosity, diffusion, and temperature. Particle overlap explains this unique behavior, confirmed by simulations.

Area of Science:

  • Physical Chemistry
  • Soft Matter Physics
  • Computational Physics

Background:

  • The Stokes-Einstein relation connects shear viscosity, diffusion, and temperature in liquids.
  • Deviations from this relation are observed in specific liquid systems.
  • Understanding these deviations is crucial for fluid dynamics and material science.

Purpose of the Study:

  • To investigate the failure of the Stokes-Einstein relation in liquids with bounded interaction potentials.
  • To explore an alternative behavior where the relation scales linearly with viscosity.
  • To elucidate the role of particle overlap in these deviations.

Main Methods:

  • Theoretical analysis using a hydrodynamic model.
  • Investigation of liquids with bounded interaction potentials.

Related Experiment Videos

  • Comparison with molecular dynamics simulations of the Gaussian core model liquid.
  • Main Results:

    • A novel behavior of the Stokes-Einstein relation was identified in bounded potential liquids.
    • This behavior exhibits a linear dependence on viscosity.
    • Particle overlap was shown to be a key factor driving this deviation.

    Conclusions:

    • The classical Stokes-Einstein relation can fail in liquids with bounded interactions.
    • Particle overlap provides a mechanism to explain the observed linear scaling.
    • Hydrodynamic modeling and simulations confirm these findings for the Gaussian core model.