Complex statistics and diffusion in nonlinear disordered particle chains

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

Research output: Contribution to journalArticlepeer-review

12 Citations (Scopus)

Abstract

We investigate dynamically and statistically diffusive motion in a Klein-Gordon particle chain in thepresence of disorder. In particular, we examine a low energy (subdiffusive) and a higher energy (selftrapping)case and verify that subdiffusive spreading is always observed. We then carry out astatistical analysis of the motion, in both cases, in the sense of the Central Limit Theorem and presentevidence of different chaos behaviors, for various groups of particles. Integrating the equations ofmotion for times as long as 109 our probability distribution functions always tend to Gaussians andshow that the dynamics does not relax onto a quasi-periodic Kolmogorov-Arnold-Moser torus andthat diffusion continues to spread chaotically for arbitrarily long times.

Original languageEnglish
Article number024405
JournalChaos
Volume24
Issue number2
DOIs
Publication statusPublished - 2014

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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