Wave propagation in nonlinear disordered media
Wave propagation in nonlinear disordered media
复制标题
非线性无序介质中的波传播
DOI：
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发表时间：
2010
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通讯作者：
S. Flach
中科院分区：
文献类型：
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作者：
S. Flach
我们分析非线性无序介质中波包传播的机制和机制。我们讨论共振概率，并预测从强混沌到弱混沌的动态交叉。交叉由非线性频移的比率和一个定位体积内线性方程本征态的平均本征值间距控制。我们考虑更高晶格维度的广义模型，并获得非线性幂、维度和范数密度的临界值，这些值以定性方式影响可能的动态结果。
We analyze mechanisms and regimes of wave packet spreading in nonlinear disordered media. We discuss resonance probabilities, and predict a dynamical crossover from strong to weak chaos. The crossover is controlled by the ratio of nonlinear frequency shifts and the average eigenvalue spacing of eigenstates of the linear equations within one localization volume. We consider generalized models in higher lattice dimensions and obtain critical values for the nonlinearity power, the dimension, and norm density, which influence possible dynamical outcomes in a qualitative way.