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dc.contributor.authorCampbell, Daviden_US
dc.contributor.authorDanieli, Carloen_US
dc.contributor.authorKati, Yagmuren_US
dc.contributor.authorMithun, Thudiyangalen_US
dc.contributor.authorFlach, Sergejen_US
dc.date.accessioned2020-04-27T15:13:14Z
dc.date.available2020-04-27T15:13:14Z
dc.date.issued2018-11-20
dc.identifier.citationDavid Campbell, C. Danieli, Yagmur Kati, T. Mithun, S. Flach. 2018. "Dynamical glass in weakly non-integrable many-body systems." arXiv:1811.10832, https://arxiv.org/abs/1811.10832.
dc.identifier.urihttps://hdl.handle.net/2144/40366
dc.description.abstractIntegrable many-body systems are characterized by a complete set of preserved actions. Close to an integrable limit, a {\it nonintegrable} perturbation creates a coupling network in action space which can be short- or long-ranged. We analyze the dynamics of observables which turn into the conserved actions in the integrable limit. We compute distributions of their finite-time averages and obtain the ergodization time scale TE on which these distributions converge to δ-distributions. We relate TE∼(σ+τ)2/μ+τ to the statistics of fluctuation times of the observables, which acquire fat-tailed distributions with standard deviations σ+τ dominating the means μ+τ. The Lyapunov time TΛ (the inverse of the largest Lyapunov exponent) is then compared to the above time scales. We use a simple Klein-Gordon chain to emulate long- and short-range coupling networks by tuning its energy density. For long-range coupling networks TΛ≈σ+τ, which indicates that the Lyapunov time sets the ergodization time, with chaos quickly diffusing through the coupling network. For short-range coupling networks we observe a {\it dynamical glass}, where TE grows dramatically by many orders of magnitude and greatly exceeds the Lyapunov time, which TΛ≲μ+τ. This is due to the formation of a highly fragmented inhomogeneous distributions of chaotic groups of actions, separated by growing volumes of non-chaotic regions. These structures persist up to the ergodization time TE.en_US
dc.language.isoen_US
dc.relation.ispartofPhysical Review E
dc.titleDynamical glass in weakly non-integrable many-body systemsen_US
dc.typeArticleen_US
dc.description.versionPublished versionen_US
pubs.elements-sourcemanual-entryen_US
pubs.notesEmbargo: No embargoen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Arts & Sciencesen_US
pubs.organisational-groupBoston University, College of Arts & Sciences, Department of Physicsen_US
pubs.publication-statusPublished onlineen_US
dc.date.online2018-11-20
dc.identifier.orcid0000-0002-4502-5629 (Campbell, David)
dc.identifier.mycv424190


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