Spontaneous pattern formation in driven nonlinear lattices
Spontaneous pattern formation in driven nonlinear lattices
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DOI：
10.1103/physreve.62.7353
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发表时间：
2000-11-01
影响因子：
2.4
通讯作者：
Bortolani, V
中科院分区：
文献类型：
--
作者：
Vanossi, A;Rasmussen, KO;Bortolani, V
我们证明了自发形成的阻尼，交流驱动的立方克莱因-戈登晶格的空间图案。这些图案是由非线性晶格的固有局域模式特征阵列组成的。我们分析了调制不稳定性导致这种自发模式的形成。我们的调制不稳定性的计算适用于一维和二维晶格，但是，在新兴模式的分析，我们特别集中在二维的情况下。
We demonstrate the spontaneous formation of spatial patterns in a damped, ac-driven cubic Klein-Gordon lattice. These patterns are composed of arrays of intrinsic localized modes characteristic for nonlinear lattices. We analyze the modulation instability leading to this spontaneous pattern formation. Our calculation of the modulational instability is applicable in one- and two-dimensional lattices; however, in the analyses of the emerging patterns we concentrate particularly on the two-dimensional case.