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Escape rate of an active brownian particle in a rough potential

Communications in Theoretical Physics 2022年第12期74卷 118-123页

作者： Yating Wang Zhanchun Tu Department of Physics Beijing Normal UniversityBeijing 100875China

We discuss the escape problem with the consideration of both the activity of particles and the roughness of potentials.We derive analytic expressions for the escape rate of an active brownian particle in two types of rough potentials by employing the effective equilibrium approach and the Zwanzig method.We find that activity enhances the escape rate,but both the oscillating perturbation and the random amplitude hinder escaping.

关键词： escape rate active brownian particle rough potential effective potential

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active brownian particles simulated in molecular dynamics

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Chinese Physics B 2020年第9期29卷 222-232页

作者：王丽雅徐新鹏李志刚钱铁铮 Faulty of Civil Engineering and Mechanics Jiangsu UniversityZhenjiang 212013China Faculty of Physics Guangdong-Technion-Israel Institute of TechnologyShantou 515063China Department of Mechanical and Aerospace Engineering Hong Kong University of Science and TechnologyHong KongChina Department of Mathematics Hong Kong University of Science and TechnologyHong KongChina

In the numerical studies of active particles, models consisting of a solid body and a fluid body have been well established and widely used. In this work, such an active brownian particle (ABP) is realized in molecular dynamics (MD) simulations. Immersed in a fluid, each ABP consists of a head particle and a spherical phantom region of fluid where the flagellum of a microswimmer takes effect. Quantitative control over the orientational persistence time is achieved via an external stochastic dynamics. This control makes it possible to validate ABP's diffusion property in a wide range of particle activity. In molecular description, the axial velocity of ABP exhibits a Gaussian distribution. Its mean value defines the active velocity which increases with the active force linearly, but shows no dependence on the rotational diffusion coefficient. For the active diffusion coefficient measured in free space, it shows semi-quantitative agreement with the analytical result predicted by a minimal ABP model. Furthermore, the active diffusion coefficient is also calculated by performing a quantitative analysis on the ABP's distribution along x axis in a confinement potential. Comparing the active diffusion coefficients in the above two cases (in free space and in confinement), the validity of the ABP modeling implemented in MD simulations is confirmed. Possible reasons for the small deviation between the two diffusion coefficients are also discussed.

关键词： active brownian particle diffusion confinement boundary

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