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Localized disorder significantly alters particle density evolution in driven lattices, creating non-Gaussian distributions and enhancing transport. This effect stems from disorder-induced mixing of chaotic and regular system components.

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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Statistical Mechanics

Background:

  • Classical Hamiltonian systems exhibit complex dynamics.
  • Disorder can profoundly influence system behavior.
  • Particle density evolution and transport are key physical observables.

Purpose of the Study:

  • To investigate the impact of localized and global disorder on particle density evolution.
  • To elucidate the underlying mechanisms driving non-Gaussian density distributions.
  • To analyze the effect of disorder on transport properties.

Main Methods:

  • Simulations of a classical Hamiltonian driven lattice.
  • Analysis of particle density distributions.
  • Development of a theoretical model based on phase space component conversion.
  • Study of transport properties under different disorder conditions.

Main Results:

  • Localized disorder induces strong, non-Gaussian tails in particle density, increasing towards larger positions.
  • Disorder-induced conversion between chaotic and regular phase space components is identified as the key mechanism.
  • A theoretical model accurately predicts particle density scaling.
  • Localized disorder significantly enhances transport, unlike global disorder which has a minor effect.

Conclusions:

  • Disorder, particularly when localized, dramatically alters particle dynamics in driven lattices.
  • The interplay between chaotic and regular dynamics, mediated by disorder, is crucial for understanding these phenomena.
  • Localized disorder offers a route to enhanced transport in such systems.