2005/06/30 by Boris Gershgorin, Yuri V. Lvov, David Cai · 1 citation
Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Breather #Dispersion (optics) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Physics #Quantum mechanics #Statistical physics #math-ph #math.MP
paper · pdf · doi:10.1103/physrevlett.95.264302
published as Phys. Rev. Lett. 95, 264302 (2005)
arxiv created 2005/08/20 · openalex publication_date 2005/12/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We demonstrate via numerical simulation that in the strongly nonlinear limit the Beta-Fermi-Pasta-Ulam (Beta-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 Beta-FPU chains is spatially highly localized discrete breathers riding chaotically on spatially extended, renormalized waves.