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Complex statistics and diffusion in nonlinear disordered particle chains.

Ch G Antonopoulos1, T Bountis2, Ch Skokos3

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Chaos (Woodbury, N.Y.)
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Summary
This summary is machine-generated.

This study shows that disordered Klein-Gordon particle chains exhibit chaotic diffusion. Even at high energies, particle motion spreads diffusively over long times, defying typical relaxation patterns.

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Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Statistical Mechanics

Background:

  • Disorder in physical systems can lead to complex emergent behaviors.
  • Understanding particle motion in nonlinear chains is crucial for condensed matter physics.

Purpose of the Study:

  • To investigate diffusive motion in a Klein-Gordon particle chain with disorder.
  • To analyze the statistical properties and chaotic behavior of particle dynamics.

Main Methods:

  • Simulating particle motion in a disordered Klein-Gordon chain at low (subdiffusive) and high (self-trapping) energies.
  • Applying statistical analysis based on the Central Limit Theorem.
  • Integrating equations of motion for extended time scales (up to 10^9).

Main Results:

  • Subdiffusive spreading is consistently observed across different energy regimes.
  • Probability distribution functions evolve towards Gaussian distributions.
  • Evidence of distinct chaotic behaviors in particle groups was found.

Conclusions:

  • The dynamics do not relax onto a Kolmogorov-Arnold-Moser torus.
  • Chaotic diffusion persists indefinitely in these systems.
  • Disordered Klein-Gordon chains exhibit long-term chaotic spreading.