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Journal Articles European Physical Journal E: Soft matter and biological physics Year : 2023

Numerical simulations of confined Brownian-yet-non-Gaussian motion

Elodie Millan
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Maxime Lavaud
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Brownian motion is a central scientific paradigm. Recently, due to increasing efforts and interests towards miniaturization and small-scale physics or biology, the effects of confinement on such a motion have become a key topic of investigation. Essentially, when confined near a wall, a particle moves much slower than in the bulk due to friction at the boundaries. The mobility is therefore locally hindered and space-dependent, which in turn leads to the apparition of so-called multiplicative noises, and associated non-Gaussianities which remain difficult to resolve at all times. Here, we exploit simple, optimized and efficient numerical simulations to address Brownian motion in confinement in a broadrange and quantitative way. To do so, we integrate the overdamped Langevin equation governing the thermal dynamics of a negatively-buoyant single spherical colloid within a viscous fluid confined by two rigid walls, including surface charges. From the produced large set of long random trajectories, we perform a complete statistical analysis and extract all the key quantities, such as the probability distributions in displacements and their main moments. In particular, we propose a novel method to compute high-order cumulants by reducing convergence problems, and employ it to efficiently characterize the inherent non-Gaussianity of the confined process.
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Dates and versions

hal-03832770 , version 1 (27-10-2022)
hal-03832770 , version 2 (06-03-2023)



Elodie Millan, Maxime Lavaud, Yacine Amarouchene, Thomas Salez. Numerical simulations of confined Brownian-yet-non-Gaussian motion. European Physical Journal E: Soft matter and biological physics, 2023, 46, pp.24. ⟨hal-03832770v2⟩


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