Investigation of energy relaxation in 1-D nonlinear lattices by wavelets

The movement and relaxation of the localized energy on FPU lattices have been studied by using Wavelet transforms methods. The energy relaxation mechanism for nonlinear chains involves the degradation of higher frequency excitations into lower frequencies. It is shown that low frequency modes decay more slowly in nonlinear chains. The wavelet spectrum exhibits a behavior involving the interplay of phonon modes and breather modes. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2012