标题： 结构化非线性级联：连接宏观流体尺度与分子振动 显示英文标题

标题： Structured Nonlinear Cascades Bridging Macroscopic Fluid Scales and Molecular Vibrations

摘要： 我们提出并理论上分析了一种新颖的方法，通过流体力学的结构化动态来选择性地激发分子振动模式，该方法由纳维-斯托克斯方程基于广义对称变换引导。 通过将特定的分子共振信息编码到结构化的宏观流体扰动中，并使用迭代非线性级联，我们数值证明能量可以从宏观尺度相干地传递到分子振动频率。 这种结构化的级联由广义Gelfand变换和相关的非线性结构常数描述，确保了分子尺度上的共振条件，显著延迟了热化过程，并使流体中的精确量子态操控成为可能。 针对 $CO_{2}$的非对称振动模式的数值模拟明确验证了该方法，突显了其在受控分子激发和基于流体的相干量子操控中的潜在应用。 显示英文摘要

摘要： We propose and theoretically analyze a novel approach to selectively excite molecular vibrational modes through structured fluid dynamics guided by generalized symmetry-based transformations of the Navier-Stokes equations. By encoding specific molecular resonance information into structured macroscopic fluid perturbations and using iterative nonlinear cascades, we demonstrate numerically that energy can coherently transfer from macroscopic scales down to molecular vibrational frequencies. This structured cascade, described by a generalized Gelfand transform and associated nonlinear structure constants, ensures resonance conditions at molecular scales, significantly delaying thermalization and enabling precise quantum state manipulation in fluids. Numerical simulations explicitly targeting the asymmetric vibrational mode of $CO_{2}$ validate this methodology, highlighting its potential applications in controlled molecular excitation and coherent fluid-based quantum manipulation.