Scattering properties of solitons in nonlinear disordered chains.
Scattering properties of solitons in nonlinear disordered chains.
复制标题
非线性无序链中孤子的散射特性。
DOI：
10.1103/physrevb.38.11888
复制
发表时间：
1988
期刊：
影响因子：
--
通讯作者：
Economou
中科院分区：
文献类型：
--
作者：
Li;Soukoulis;Pnevmatikos;Economou
本文用数值方法研究了孤立子在具有四次非线性近邻相互作用的一维无序原子晶格中的散射。无序是二元合金型的杂质质量m的浓度由p给出。我们数值计算发现，对于足够大的长度L，孤子传输系数T衰减为1/... sqrt.. L .这种行为也已经得到了一个线性无序系统中的高斯波包的传输的分析研究。对于短和中等长度，T衰减与不同的非线性势的不同的幂律。这种行为可以用一个简单的独立散射图来解释。最后讨论了边界条件在无序非线性系统中的作用。
The scattering of a soliton from a disordered one-dimensional atomic lattice with nonlinear nearest-neighbor interactions of quartic type is studied numerically. The disorder is of the binary-alloy type with the concentration of the impurity masses m given by p. We numerically find that for large enough lengths L, the soliton transmission coefficient T decays as 1/ ..sqrt..L . This behavior has been obtained also by an analytical study of the transmission of a Gaussian wave packet in a linear disordered system. For short and intermediate lengths, T decays with a different power law for different nonlinear potentials. This behavior can be accounted by a simple independent scattering picture. Finally, the role of the boundary conditions in disordered nonlinear systems is discussed.