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首页> 外文期刊>Acta Physica Polonica >Anderson Localization Phenomenon in One-Dimensional Elastic Systems
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Anderson Localization Phenomenon in One-Dimensional Elastic Systems

机译:一维弹性系统中的安德森局部化现象

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摘要

The phenomenon of the Anderson localization of waves in elastic systems is studied. We analyze this phenomenon in two different sets of systems: disordered linear chains of harmonic oscillators and disordered rods which oscillate with torsional waves. The first set is analyzed numerically whereas the second one is studied both experimentally and theoretically. In particular, we discuss the localization properties of the waves as a function of the frequency. In doing that we have used the inverse participation ratio, which is related to the localization length. We find that the normal modes localize exponentially according to the Anderson theory. In the elastic systems, the localization length decreases with frequency. This behavior is in contrast with what happens in analogous quantum mechanical systems, for which the localization length grows with energy. This difference is explained by means of the properties of the reflection coefficient of a single scatterer in each case.
机译:研究了弹性系统中波的安德森局部化现象。我们在两组不同的系统中分析这种现象:谐波振荡器的无序线性链和随扭波振荡的无序杆。第一组进行了数值分析,而第二组进行了实验和理论研究。特别是,我们讨论了作为频率函数的波的定位特性。为此,我们使用了反向参与率,它与本地化长度有关。我们发现,正常模式根据安德森理论呈指数分布。在弹性系统中,定位长度随频率减小。这种行为与类似量子力学系统中发生的情况相反,在类似量子力学系统中,定位长度随能量增长。分别借助于单个散射体的反射系数的特性来解释这种差异。

著录项

  • 来源
    《Acta Physica Polonica》 |2013年第6b期|1063-1068|共6页
  • 作者单位

    Instituto de Ciencias Fisicas, Universidad Nacional Autonoma de Mexico P.O. Box 48-3, 62251 Cuernavaca, Mor., Mexico;

    Instituto de Ciencias Fisicas, Universidad Nacional Autonoma de Mexico P.O. Box 48-3, 62251 Cuernavaca, Mor., Mexico;

    Instituto de Ciencias Fisicas, Universidad Nacional Autonoma de Mexico P.O. Box 48-3, 62251 Cuernavaca, Mor., Mexico;

    Instituto de Fisica, Universidad Nacional Autonoma de Mexico P.O. Box 20-364, 01000 Mexico, D.F., Mexico;

    Instituto de Fisica, Universidad Nacional Autonoma de Mexico P.O. Box 20-364, 01000 Mexico, D.F., Mexico;

    Instituto de Fisica, Universidad Nacional Autonoma de Mexico P.O. Box 20-364, 01000 Mexico, D.F., Mexico;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    localization effects (anderson or weak localization); theories and models; localized states; quantum chaos; semiclassical methods; quantum transport;

    机译:本地化影响(安德森或弱本地化);理论和模型;局部状态;量子混乱半经典方法;量子传输;

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