# Brownian motion of free particles on curved surfaces

@article{CastaedaPriego2012BrownianMO, title={Brownian motion of free particles on curved surfaces}, author={Ram{\'o}n Casta{\~n}eda-Priego and Pavel Castro-Villarreal and Sendic Estrada-Jim'enez and Jos'e Miguel M'endez-Alcaraz}, journal={arXiv: Statistical Mechanics}, year={2012} }

Brownian motion of free particles on curved surfaces is studied by means of the Langevin equation written in Riemann normal coordinates. In the diffusive regime we find the same physical behavior as the one described by the diffusion equation on curved manifolds [J. Stat. Mech. (2010) P08006]. Therefore, we use the latter in order to analytically investigate the whole diffusive dynamics in compact geometries, namely, the circle and the sphere. Our findings are corroborated by means of Brownian…

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