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arXiv · 2406.03817

Field Theory of Active Brownian Particles with Dry Friction

Ziluo Zhang·Shurui Yuan·Shigeyuki Komura
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Abstract

We present a field theoretic approach to capture the motion of a particle with dry friction for one- and two-dimensional diffusive particles, and further expand the framework for two-dimensional active Brownian particles. Starting with the Fokker-Planck equation and introducing the Hermite polynomials as the corresponding eigen-functions, we obtain the actions and propagators. Using a perturbation expansion, we calculate the effective diffusion coefficient in the presence of both wet and dry frictions in a perturbative way via the Green-Kubo relation. We further compare the analytical result with the numerical simulation. Our result can be used to estimate the values of dry friction coefficient in experiments.

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Ziluo Zhang, Shurui Yuan, Shigeyuki Komura. 2024-06-06. Field Theory of Active Brownian Particles with Dry Friction. https://doi.org/10.1088/1367-2630%2Fad748e

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