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Complex statistics and diffusion in nonlinear disordered particle chains

Antonopoulos, CG and Bountis, T and Skokos, C and Drossos, L (2014) 'Complex statistics and diffusion in nonlinear disordered particle chains.' Chaos, 24 (2). ISSN 1054-1500

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Abstract

© 2014 MP Publishing LLC. 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 109our 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.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Jim Jamieson
Date Deposited: 20 Oct 2015 12:39
Last Modified: 26 Jun 2018 11:15
URI: http://repository.essex.ac.uk/id/eprint/15315

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