Active matter on Riemannian manifolds. Issue 48 (29th November 2018)

• Record Type: Journal Article
• Authors: Apaza, Leonardo; Sandoval, Mario
• Is Part Of: Soft matter. Volume 14:Issue 48(2018)
• Page Start: 9928
• Page End: 9936
• Publication Date: 2018-11-29
• Subjects: Soft condensed matter -- Periodicals; 530.413
• DOI: 10.1039/c8sm01034j
• Languages: English
• ISSNs: 1744-683X

Abstract

Abstract : Diffusion of active Brownian particles moving on any Riemannian 2-manifold is analytically characterized at both long and short times. Abstract : We formulate the dynamics of overdamped Brownian active particles (swimmers) moving on any Riemannian 2-manifold. To characterize such dynamics at short times, an analytical expression for the variance of swimmers diffusing on any Riemmanian 2-manifold is derived. To show the generality of the present work, we apply the latter dynamics to swimmers moving on the surface of a spheroid and a torus, and offer analytical expressions for both their long-time variances and steady angular marginal probability density functions. Finally, Brownian dynamics simulations are used to validate our theoretical findings.