Dynamical Glass and Ergodization Times in Classical Josephson Junction Chains

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Title
Dynamical Glass and Ergodization Times in Classical Josephson Junction Chains
Author(s)
Thudiyangal Mithun; Carlo Danieli; Yagmur Kati; Sergej Flach
Publication Date
2019-02
Journal
PHYSICAL REVIEW LETTERS, v.122, no.5, pp.054102 -
Publisher
AMER PHYSICAL SOC
Abstract
Models of classical Josephson junction chains turn integrable in the limit of large energy densities or small Josephson energies. Close to these limits the Josephson coupling between the superconducting grains induces a short-range nonintegrable network. We compute distributions of finite-time averages of grain charges and extract the ergodization time TE which controls their convergence to ergodic δ distributions. We relate TE to the statistics of fluctuation times of the charges, which are dominated by fat tails. TE is growing anomalously fast upon approaching the integrable limit, as compared to the Lyapunov time TΛ - the inverse of the largest Lyapunov exponent - reaching astonishing ratios TE/TΛ≥108. The microscopic reason for the observed dynamical glass is rooted in a growing number of grains evolving over long times in a regular almost integrable fashion due to the low probability of resonant interactions with the nearest neighbors. We conjecture that the observed dynamical glass is a generic property of Josephson junction networks irrespective of their space dimensionality. © 2019 American Physical Society
URI
https://pr.ibs.re.kr/handle/8788114/6022
ISSN
0031-9007
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
Files in This Item:
PhysRevLett.122.054102-2.pdfDownload

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