Renormalized waves and discrete breathers in β-fermi-pasta-ulam chains

Boris Gershgorin, Yuri V. Lvov, David Cai

Research output: Contribution to journalArticlepeer-review


We demonstrate via numerical simulation that in the strongly nonlinear limit the β-Fermi-Pasta-Ulam (β-FPU) system in thermal equilibrium behaves surprisingly like weakly nonlinear waves in properly renormalized normal variables. This arises because the collective effect of strongly nonlinear interactions effectively renormalizes linear dispersion frequency and leads to effectively weak interaction among these renormalized waves. Furthermore, we show that the dynamical scenario for thermalized β-FPU chains is spatially highly localized discrete breathers riding chaotically on spatially extended, renormalized waves.

Original languageEnglish (US)
Article number264302
JournalPhysical Review Letters
Issue number26
StatePublished - Dec 31 2005

ASJC Scopus subject areas

  • General Physics and Astronomy


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