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Transverse Viscous Transport in Classical Solid States.

Akira Furukawa1

  • 1Institute of Industrial Science, University of Tokyo, Meguro-ku, Tokyo 153-8505, Japan.

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|December 24, 2021
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Summary
This summary is machine-generated.

Even in solids, the transverse velocity time correlation function shows diffusive behavior, indicating viscous transport. This suggests a unified approach to understanding liquid and solid material properties.

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Area of Science:

  • * Physics
  • * Materials Science
  • * Continuum Mechanics

Background:

  • * The transverse velocity time correlation function (C[over ˜]_{T}(k,ω)) is key to understanding material properties.
  • * In liquids, C[over ˜]_{T}(k,0) relates to viscous flow.
  • * Solids typically preclude significant material flow.

Purpose of the Study:

  • * To investigate the behavior of C[over ˜]_{T}(k,0) in solids.
  • * To explore the implications for material transport properties.
  • * To reconcile descriptions of liquid and solid behavior.

Main Methods:

  • * Molecular dynamics simulations.
  • * Analysis of the transverse velocity time correlation function.
  • * Eulerian and Lagrangian descriptions of particle motion.

Main Results:

  • * C[over ˜]_{T}(k,0) is nonzero in solids.
  • * Diffusive behavior observed with diffusivity C[over ˜]_{T}(k,0)/3.
  • * Viscous transport linked to inertia effects and particle fluctuations.

Conclusions:

  • * A non-zero C[over ˜]_{T}(k,0) in solids indicates underlying viscous transport.
  • * The findings challenge traditional distinctions between liquid and solid descriptions.
  • * Proposes a unified framework for material behavior across relaxation times.