Feynman-Enderlein Path Integral for Single-Molecule Nanofluidics

• URL: http://arxiv.org/abs/2102.10915v5
• Date: Sat, 11 Jun 2022 20:29:08 GMT
• Title: Feynman-Enderlein Path Integral for Single-Molecule Nanofluidics
• Authors: Siddharth Ghosh
• Abstract summary: Single-molecule motions in the nanofluidic domain are difficult to characterise because of complex physical and physicochemical interactions. We present a method for quasi-one-dimensional sub-diffraction-limited nanofluidic motions of fluorescent single molecules using the Feynman-Enderlein path integral approach.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Single-molecule motions in the nanofluidic domain are extremely difficult to characterise because of various complex physical and physicochemical interactions. We present a method for quasi-one-dimensional sub-diffraction-limited nanofluidic motions of fluorescent single molecules using the Feynman-Enderlein path integral approach. This theory was validated using the Monte Carlo simulation to provide fundamental understandings of single-molecule nanofluidic flow and diffusion in liquid. The distribution of single-molecule burst size can be precise enough to detect molecular interaction. The realisation of this theoretical study considers several fundamental aspects of single-molecule nanofluidics, such as electrodynamics, photophysics, and multi-molecular events/molecular shot noise. We study {molecules within (an order of magnitude of) realistic lengthscale for organic molecules, biomolecules, and nanoparticles where 1.127~nm and 11.27~nm hydrodynamic radii of molecules were driven by a wide range of flow velocities ranging from $0.01~\mu$m/s to $10~\mu$m/s. It is the first study to report distinctly different velocity-dependent nanofluidic regimes.

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