Structured Nonlinear Cascades Bridging Macroscopic Fluid Scales and Molecular Vibrations

TL;DR

This paper introduces a theoretical method using structured fluid dynamics and nonlinear cascades to selectively excite molecular vibrations, enabling precise control over molecular states through macroscopic fluid manipulation.

Contribution

It presents a novel approach combining symmetry-based transformations and nonlinear cascades to transfer energy from fluid scales to molecular vibrational modes.

Findings

Numerical simulations validate selective excitation of CO2 vibrational modes.

The method delays thermalization, enabling quantum state manipulation.

Structured cascades ensure resonance conditions at molecular scales.

Abstract

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.