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Energy transport between two attractors connected by a Fermi-Pasta-Ulam chain

  • Alexander Fillipov
  • , Bambi Hu
  • , Baowen Li
  • , Alexander Zeltser

Research output: Contribution to journalJournal articlepeer-review

83 Citations (Scopus)

Abstract

We numerically study the time evolution of a system which consists of two attractors connected by a one-dimensional Fermi-Pasta-Ulam (FPU) chain It is found that there exists a self-consistent large-scale structure in the system even after a sufficiently long time. The wavelet transform is envoked to separate the modes of different scales. We discover that the existence of a nonlinear long-wavelength mode in the system assists the energy transport, which leads to the violation of the Fourier heat law in a one-dimensional FPU model as observed by other authors.

Original languageEnglish
Pages (from-to)7719-7728
Number of pages10
JournalJournal of Physics A: Mathematical and General
Volume31
Issue number38
DOIs
Publication statusPublished - Sept 1998

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This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 9 - Industry, Innovation, and Infrastructure
    SDG 9 Industry, Innovation, and Infrastructure

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