Leonardo ApazaMario Sandoval2026-03-222026-03-22201710.1103/physreve.96.022606https://doi.org/10.1103/physreve.96.022606https://andeanlibrary.org/handle/123456789/47286Citaciones: 24We 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.enBrownian motionPhysicsMean squared displacementAngular velocityClassical mechanicsSquare (algebra)Surface (topology)Angular momentumDiffusionAzimutharticle