Renormalized waves and discrete breathers in Beta-Fermi-Pasta-Ulam chains.
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.
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, New York 12180, USA.
Boris
B
Gershgorin
Yuri V
YV
Lvov
David
D
Cai