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Non-Gaussian diffusion in static disordered media.

Liang Luo1,2, Ming Yi1,2

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This study explores non-Gaussian diffusion in disordered environments using a quenched trap model. We reveal how spatial correlations in diffusivity lead to unique effects like population splitting and a sharp displacement peak, aiding correlation length estimation.

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Materials Science

Background:

  • Non-Gaussian diffusion often arises from time or space correlated diffusivity.
  • Understanding diffusion in disordered media is crucial for various scientific fields.

Purpose of the Study:

  • Investigate non-Gaussian diffusion in static disordered media.
  • Analyze effects of spatially correlated diffusivity.
  • Develop methods for estimating correlation length in disordered systems.

Main Methods:

  • Utilized a quenched trap model with spatially correlated diffusivity.
  • Performed analytical estimations of the diffusion coefficient and its fluctuations.
  • Examined particle trajectory data and displacement distributions.

Main Results:

  • Reported unique effects of quenched disorder on diffusion.
  • Showed a population splitting mechanism causing a sharp peak in displacement distribution P(x,t) around x=0.
  • Provided a procedure to estimate correlation length using sample-to-sample fluctuations.

Conclusions:

  • Quenched disorder significantly impacts non-Gaussian diffusion dynamics.
  • The proposed method effectively estimates correlation length in static disordered environments.
  • Findings align with experimental observations of displacement distributions.