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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:可视化相空间并表征传输

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Recent experimental and theoretical studies indicate that intramolecular energy redistribution (IVR) is nonstatistical on intermediate timescales even in fairly large molecules. Therefore, it is interesting to revisit the old topic of IVR versus quantum control and one expects that a classical-quantum perspective is appropriate to gain valuable insights into the issue. However, understanding classical phase space transport in driven systems is a prerequisite for such a correspondence based approach and is a challenging task for systems with more than two degrees of freedom. In this work we undertake a detailed study of the classical dynamics of a minimal model system - two kinetically coupled Morse oscillators in the presence of a monochromatic laser field. Using the technique of wavelet transforms a representation of the high dimensional phase space, the resonance network or Arnold web, is constructed and analysed. The key structures in phase space which regulate the dissociation dynamics are identified. Furthermore, we show that the web is non-uniform with the classical dynamics exhibiting extensive stickiness, resulting in anomalous transport. Our work also shows that pairwise irrational barriers might be crucial even in higher dimensional systems.View full textDownload full textKeywordsMorse oscillators, IVR, control, wavelets, phase space, stickinessRelated var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/00268976.2012.667166
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观点适合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对应关系的方法的先决条件,并且对于具有两个以上自由度的系统来说是一项艰巨的任务。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细研究-在单色激光场的情况下,两个动力学耦合的摩尔斯振荡器。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Arnold网。确定了调节解离动力学的相空间中的关键结构。此外,我们显示网络不均匀,古典动力学表现出广泛的粘性,导致异常运输。我们的工作还表明,成对的非理性障碍即使在高维系统中也可能至关重要。查看全文下载全文关键字摩尔斯振荡器,IVR,控制,小波,相空间,粘性相关var addthis_config = {ui_cobrand:“泰勒和弗朗西斯在线”,services_compact:“ citeulike,netvibes,twitter,technorati,美味,linkedin,facebook,stumbleupon,digg,google,更多”,发布:“ ra-4dff56cd6bb1830b”};添加到候选列表链接永久链接http://dx.doi.org/10.1080/00268976.2012.667166

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