Complex statistics and diffusion in nonlinear disordered particle chains

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dc.contributor.authorAntonopoulos, Ch G
dc.contributor.authorBountis, T
dc.contributor.authorSkokos, Ch
dc.contributor.authorDrossos, L
dc.date.accessioned2021-10-08T06:54:59Z
dc.date.available2021-10-08T06:54:59Z
dc.date.issued2014
dc.description.abstractWe 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 $109$, our probability distribution functions always tend to Gaussians and show that the dynamics does not relax onto a quasi-periodic KAM torus and that diffusion continues to spread chaotically for arbitrarily long times.
dc.identifier.apacitationAntonopoulos, C. G., Bountis, T., Skokos, C., & Drossos, L. (2014). Complex statistics and diffusion in nonlinear disordered particle chains. <i>Chaos (Woodbury, NY)</i>, 24(2), 24405 - 177. http://hdl.handle.net/11427/34391en_ZA
dc.identifier.chicagocitationAntonopoulos, Ch G, T Bountis, Ch Skokos, and L Drossos "Complex statistics and diffusion in nonlinear disordered particle chains." <i>Chaos (Woodbury, NY)</i> 24, 2. (2014): 24405 - 177. http://hdl.handle.net/11427/34391en_ZA
dc.identifier.citationAntonopoulos, C.G., Bountis, T., Skokos, C. & Drossos, L. 2014. Complex statistics and diffusion in nonlinear disordered particle chains. <i>Chaos (Woodbury, NY).</i> 24(2):24405 - 177. http://hdl.handle.net/11427/34391en_ZA
dc.identifier.issn1054-1500
dc.identifier.issn1089-7682
dc.identifier.ris TY - Journal Article AU - Antonopoulos, Ch G AU - Bountis, T AU - Skokos, Ch AU - Drossos, L AB - 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 $109$, our probability distribution functions always tend to Gaussians and show that the dynamics does not relax onto a quasi-periodic KAM torus and that diffusion continues to spread chaotically for arbitrarily long times. DA - 2014 DB - OpenUCT DP - University of Cape Town IS - 2 J1 - Chaos (Woodbury, NY) LK - https://open.uct.ac.za PY - 2014 SM - 1054-1500 SM - 1089-7682 T1 - Complex statistics and diffusion in nonlinear disordered particle chains TI - Complex statistics and diffusion in nonlinear disordered particle chains UR - http://hdl.handle.net/11427/34391 ER - en_ZA
dc.identifier.urihttp://hdl.handle.net/11427/34391
dc.identifier.vancouvercitationAntonopoulos CG, Bountis T, Skokos C, Drossos L. Complex statistics and diffusion in nonlinear disordered particle chains. Chaos (Woodbury, NY). 2014;24(2):24405 - 177. http://hdl.handle.net/11427/34391.en_ZA
dc.language.isoeng
dc.publisher.departmentDepartment of Mathematics and Applied Mathematics
dc.publisher.facultyFaculty of Science
dc.sourceChaos (Woodbury, NY)
dc.source.journalissue2
dc.source.journalvolume24
dc.source.pagination24405 - 177
dc.source.urihttps://dx.doi.org/10.1063/1.4871477
dc.subject.otherclassical and quantum mechanics
dc.subject.othergeneral physics
dc.subject.otherchaos theory
dc.subject.otherdiffusion
dc.subject.otherdistribution functions
dc.subject.otherequations of motion
dc.subject.otherklein-gordon equation
dc.subject.othernonlinear problems
dc.subject.otherprobability
dc.subject.otherstatistics
dc.subject.othertrapping
dc.titleComplex statistics and diffusion in nonlinear disordered particle chains
dc.typeJournal Article
uct.type.publicationResearch
uct.type.resourceJournal Article
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