Bodyfelt J D, Laptyeva T V, Skokos Ch, Krimer D O, Flach S
Max Planck Institute for the Physics of Complex Systems, Dresden, Germany.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jul;84(1 Pt 2):016205. doi: 10.1103/PhysRevE.84.016205. Epub 2011 Jul 11.
We probe the limits of nonlinear wave spreading in disordered chains which are known to localize linear waves. We particularly extend recent studies on the regimes of strong and weak chaos during subdiffusive spreading of wave packets [Europhys. Lett. 91, 30001 (2010)] and consider strong disorder, which favors Anderson localization. We probe the limit of infinite disorder strength and study Fröhlich-Spencer-Wayne models. We find that the assumption of chaotic wave packet dynamics and its impact on spreading is in accord with all studied cases. Spreading appears to be asymptotic, without any observable slowing down. We also consider chains with spatially inhomogeneous nonlinearity, which give further support to our findings and conclusions.
我们探究了在已知能使线性波局域化的无序链中非线性波传播的极限。我们特别扩展了近期关于波包亚扩散传播过程中强混沌和弱混沌 regime 的研究[《欧洲物理快报》91, 30001 (2010)]，并考虑了有利于安德森局域化的强无序情况。我们探究了无限无序强度的极限，并研究了弗罗利希 - 斯宾塞 - 韦恩模型。我们发现，混沌波包动力学的假设及其对传播的影响与所有研究案例相符。传播似乎是渐近的，没有任何可观测到的减速。我们还考虑了具有空间非均匀非线性的链，这进一步支持了我们的发现和结论。
