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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: an interdisciplinary journal of nonlinear science, 24 (2). 024405 - 024405. ISSN 1054-1500


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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.

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: 04 Nov 2020 14:15

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