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- W3156284805 abstract "Based on the geometrization of dynamics and self-consistent phonon theory, we develop an analytical approach to derive the Lyapunov time, the reciprocal of the largest Lyapunov exponent, for general nonlinear lattices of coupled oscillators. The Fermi-Pasta-Ulam-Tsingou-like lattices are exemplified by using the method, which agree well with molecular dynamical simulations for the cases of quartic and sextic interactions. A universal scaling behavior of the Lyapunov time with the nonintegrability strength is observed for the quasi-integrable regime. Interestingly, the scaling exponent of the Lyapunov time is the same as the thermalization time, which indicates a proportional relationship between the two timescales. This relation illustrates how the thermalization process is related to the intrinsic chaotic property." @default.
- W3156284805 created "2021-04-26" @default.
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- W3156284805 date "2021-04-19" @default.
- W3156284805 modified "2023-10-11" @default.
- W3156284805 title "Analytical approach to Lyapunov time: Universal scaling and thermalization" @default.
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- W3156284805 doi "https://doi.org/10.1103/physreve.103.l040203" @default.
- W3156284805 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/34005992" @default.
- W3156284805 hasPublicationYear "2021" @default.
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