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Hydrodynamics in kinetically constrained lattice-gas models.

Eial Teomy1,2, Yair Shokef1

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Summary
This summary is machine-generated.

Kinetically constrained models, used for glassy systems, exhibit nonlinear diffusion when driven out of equilibrium. Discrepancies in diffusion coefficients arise from emergent correlations in these non-equilibrium states.

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Area of Science:

  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • Kinetically constrained models (KCMs) are lattice-gas models for glassy systems.
  • KCMs possess a trivial equilibrium state with no site correlations.

Purpose of the Study:

  • Investigate the non-equilibrium dynamics of KCMs.
  • Characterize system response to density gradients and external forces.

Main Methods:

  • Driving KCMs out of equilibrium using reservoirs of differing densities.
  • Applying uniform external forces to KCMs.
  • Coarse-graining and numerical analysis of system behavior.

Main Results:

  • KCM behavior can be described by a nonlinear diffusion equation.
  • A model- and density-dependent diffusion coefficient was identified.
  • Discrepancies between approximated and numerical diffusion coefficients are linked to emergent correlations.

Conclusions:

  • Emergent correlations in non-equilibrium KCMs explain discrepancies in diffusion coefficients.
  • These findings extend to broader classes of non-gradient lattice-gas models.
  • KCMs provide insights into glassy system dynamics under perturbation.