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  • Letter
  • Open Access

Stochastic inference of surface-induced effects using Brownian motion

Maxime Lavaud1, Thomas Salez1,2,*, Yann Louyer1, and Yacine Amarouchene1,†

  • 1Univ. Bordeaux, CNRS, LOMA, UMR 5798, F-33405 Talence, France
  • 2Global Station for Soft Matter, Global Institution for Collaborative Research and Education, Hokkaido University, Sapporo, Hokkaido 060-0808, Japan

  • *thomas.salez@u-bordeaux.fr
  • †yacine.amarouchene@u-bordeaux.fr
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Phys. Rev. Research 3, L032011 – Published 8 July, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L032011

Abstract

Brownian motion in confinement and at interfaces is a canonical situation, encountered from fundamental biophysics to nanoscale engineering. Using the Lorenz-Mie framework, we optically record the thermally induced tridimensional trajectories of individual microparticles, within salty aqueous solutions, in the vicinity of a rigid wall, and in the presence of surface charges. We construct the time-dependent position and displacement probability density functions, and study the non-Gaussian character of the latter which is a direct signature of the hindered mobility near the wall. Based on these distributions, we implement a robust and self-calibrated multifitting method, allowing for the thermal-noise-limited inference of diffusion coefficients spatially resolved at the nanoscale, equilibrium potentials, and forces at the femtonewton resolution.

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Phys. Rev. Research 3, L032011– Published 8 July, 2021
  • Received 8 December 2020
  • Revised 28 April 2021
  • Accepted 2 June 2021
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