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Driven coupled Morse oscillators --- visualizing the phase space and characterizing the transport

机译:驱动耦合莫尔斯振荡器---可视化相空间和   表征运输

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摘要

Recent experimental and theoretical studies indicate that intramolecularenergy redistribution (IVR) is nonstatistical on intermediate timescales evenin fairly large molecules. Therefore, it is interesting to revisit the the oldtopic of IVR versus quantum control and one expects that a classical-quantumperspective is appropriate to gain valuable insights into the issue. However,understanding classical phase space transport in driven systems is aprerequisite for such a correspondence based approach and is a challenging taskfor systems with more then two degrees of freedom. In this work we undertake adetailed study of the classical dynamics of a minimal model system - twokinetically coupled coupled Morse oscillators in the presence of amonochromatic laser field. Using the technique of wavelet transforms arepresentation of the high dimensional phase space, the resonance network orArnold web, is constructed and analysed. The key structures in phase spacewhich regulate the dissociation dynamics are identified. Furthermore, we showthat the web is nonuniform with the classical dynamics exhibiting extensivestickiness, resulting in anomalous transport. Our work also shows that pairwiseirrational barriers might be crucial even in higher dimensional systems.
机译:最近的实验和理论研究表明,即使在相当大的分子中,分子内能量重新分布(IVR)在中间时间尺度上也是非统计的。因此,重新审视IVR与量子控制的旧话题是很有趣的,并且人们期望经典的量子透视适合于获得对该问题的宝贵见解。但是,了解驱动系统中的经典相空间传输是这种基于通信的方法的先决条件,并且对于具有两个以上自由度的系统而言是一项艰巨的任务。在这项工作中,我们对最小模型系统的经典动力学进行了详尽的研究-在单色激光场存在下的两动力耦合耦合的莫尔斯振荡器。利用小波变换技术对高维相空间进行表示,构造并分析了共振网络或阿诺德网络。确定了相空间中调节解离动力学的关键结构。此外,我们证明了该网络是不均匀的,其经典动力学表现出广泛的粘性,从而导致了异常的运输。我们的工作还表明,即使在高维系统中,成对非理性障碍也可能至关重要。

著录项

  • 作者单位
  • 年度 2012
  • 总页数
  • 原文格式 PDF
  • 正文语种 {"code":"en","name":"English","id":9}
  • 中图分类
  • 入库时间 2022-08-20 21:09:30

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