Complex statistics and diffusion in nonlinear disordered particle chains

Ch. G. Antonopoulos*, T. Bountis, Ch. Skokos, L. Drossos

*Corresponding author for this work

Research output: Contribution to journalArticle

7 Citations (Scopus)
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Abstract

We investigate dynamically and statistically diffusive motion in a Klein-Gordon particle chain in the presence of disorder. In particular, we examine a low energy (subdiffusive) and a higher energy (self-trapping) case and verify that subdiffusive spreading is always observed. We then carry out a statistical analysis of the motion, in both cases, in the sense of the Central Limit Theorem and present evidence of different chaos behaviors, for various groups of particles. Integrating the equations of motion for times as long as 10 9, our probability distribution functions always tend to Gaussians and show that the dynamics does not relax onto a quasi-periodic Kolmogorov-Arnold-Moser torus and that diffusion continues to spread chaotically for arbitrarily long times. (C) 2014 AIP Publishing LLC.

Original languageEnglish
Article number024405
Number of pages7
JournalChaos
Volume24
Issue number2
DOIs
Publication statusPublished - Jun 2014

Keywords

  • area-preserving maps
  • Kam Tori
  • chaos
  • model
  • lattices
  • systems
  • absence

Cite this

Antonopoulos, C. G., Bountis, T., Skokos, C., & Drossos, L. (2014). Complex statistics and diffusion in nonlinear disordered particle chains. Chaos, 24(2), [024405]. https://doi.org/10.1063/1.4871477