Diffusion on a curved surface: a geometrical approach

F. Debbasch and M. Moreau

Physica A: Statistical Mechanics and its Applications, 2004, vol. 343, issue C, 81-104

Abstract: We propose a new model of 2D free particle diffusion on a possibly curved surface. This model is a generalization of the standard Ornstein–Uhlenbeck process and is completely determined by writing down the transport equation describing the diffusion in the phase-space of the diffusing particle. This transport equation is then used to show that curvature effects can profoundly affect the phenomenology of diffusion in the hydrodynamic limit. A specific pedagogical example is also worked out.

Keywords: Diffusion; Ornstein–Uhlenbeck process; Differential Geometry (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:343:y:2004:i:c:p:81-104

DOI: 10.1016/j.physa.2004.06.159

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