Brownian self-driven particles on Riemannian surfaces
ORAL
Abstract
We present the dynamics of overdamped Brownian self-propelled particles (swimmers) moving on a general Riemannian surface. In particular, we offer analytical results (mean-square displacement and variance) to characterize the effect of self-propulsion and geometry on the diffusion of swimmers moving on prolate and oblate spheroids. Our results are compared with Brownian dynamics simulations and an excellent agreement is obtained. Marginal probability density functions are also obtained.
*L. A. and M. S. thank Consejo Nacional de Ciencia y Tecnologia, CONACyT Grant: CB 2014/237848 for support.
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Presenters
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Leonardo Apaza Pilco
- Facultad de Ciencias Puras y Naturales, Universidad Mayor de San Andres