One-dimensional displacement of active matter on curved substrates. (2nd August 2020)

• Record Type: Journal Article
• Authors: Herrera, Pedro; Apaza, Leonardo; Sandoval, Mario
• Is Part Of: Molecular physics. Volume 118:Number 15(2020)
• Publication Date: 2020-08-02
• Subjects: Active Brownian motion -- diffusion in one dimension -- curvature effects; Molecules -- Periodicals; Chemistry, Physical and theoretical -- Periodicals; Molécules -- Périodiques; Chimie physique et théorique -- Périodiques; 539.6.05
• DOI: 10.1080/00268976.2020.1711974
• Languages: English
• ISSNs: 0026-8976

Abstract

Abstract : We analytically find the diffusion of overdamped active Brownian particles (ABPs) constrained to move along curved one-dimensional channels. The autonomous motion of these particles is achieved by a projection of their internal propulsion force along the channels' long section. In particular, the diffusion of ABPs moving on one-dimensional channels with a form of a circle, an ellipse, and a limacon of second order is analysed. To characterise the effect of substrate's geometry and self-propulsion on their diffusion, analytical expressions for the ABPs short- and long-time variances, as well as their steady angular probability density functions are offered. Curvature effects are found to reduce the time an ABP reaches its steady state. Our theoretical results are validated using Brownian dynamics simulations. This model may be relevant for experiments dealing with catalytic driven systems, bacteria, and tumour cell dispersion in one-dimensional channels. GRAPHICAL ABSTRACT: