Brownian self-driven particles on the surface of a sphere.

Apaza, Leonardo; Sandoval, Mario · Phys Rev E · 2017

basic_science · Level V

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Abstract

We present the dynamics of overdamped Brownian self-propelled particles moving on the surface of a sphere. The effect of self-propulsion on the diffusion of these particles is elucidated by determining their angular (azimuthal and polar) mean-square displacement. Short- and long-times analytical expressions for their angular mean-square displacement are offered. Finally, the particles' steady marginal angular probability density functions are also elucidated.