Brownian Motion on a Sphere: Distribution of Solid Angles

Details Brownian Motion on a Sphere: Distribution of Solid Angles Brownian Motion on a Sphere: Distribution of Solid Angles

2000-05-22

arxiv.org/abs/cond-mat/0005345v3

Physics

Condensed Matter

11 pages, two figures, Fig2 in Colour,references updated

Scientific paper

10.1088/0305-4470/33/34/302

We study the diffusion of Brownian particles on the surface of a sphere and compute the distribution of solid angles enclosed by the diffusing particles. This function describes the distribution of geometric phases in two state quantum systems (or polarised light) undergoing random evolution. Our results are also relevant to recent experiments which observe the Brownian motion of molecules on curved surfaces like micelles and biological membranes. Our theoretical analysis agrees well with the results of computer experiments.

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