论文标题
朝着频谱选择性灾难性反应
Towards spectrally selective catastrophic response
论文作者
论文摘要
我们研究了经典分子对电磁辐射的巨大振幅响应，显示了从线性响应到非线性响应的过渡的通用性，并在足够大的幅度下制动。从简单的谐波振荡器到DNA成功的Peyrard-Bishop-Dauxois（PBD）类型模型的一系列模型，导致了特征性的普遍行为：在驱动力振幅频率空间中解离的域形成，其特征在于局部边界最小值的存在。我们证明，通过简单地遵循该空间中共振最大值的进展，同时逐渐增加了辐射强度，必须必须到达这些最小值之一，即保留超高光谱选择性的点。我们表明，这种普遍特性适用于其他振荡系统，是这些模型属于灾难理论的折叠灾难普遍性类别的结果。这反过来意味着，对于包括DNA在内的大多数生物结构，可以期望在变性过程开始附近具有高光谱灵敏度。这种频谱选择性的分子变性可以在生物学和医学中找到重要的应用。
We study the large amplitude response of classical molecules to electromagnetic radiation, showing the universality of the transition from the linear to nonlinear response and brakeup at sufficiently large amplitudes. A range of models, from the simple harmonic oscillator to the successful Peyrard-Bishop-Dauxois (PBD) type models of DNA, lead to characteristic universal behavior: formation of domains of dissociation in the driving force amplitude-frequency space, characterized by the presence of local boundary minima. We demonstrate, that by simply following the progression of the resonance maxima in this space, while gradually increasing intensity of the radiation one must necessarily arrive at one of these minima, i.e. a point where the ultra-high spectral selectivity is retained. We show that this universal property, applicable to other oscillatory system, is a consequence of the fact that these models belong to the fold catastrophe universality class of the catastrophe theory. This in turn implies that for most bio-structures, including DNA, a high spectral sensitivity near the onset of the denaturation processes can be expected. Such spectrally selective molecular denaturation could find important applications in biology and medicine.
