Is Brownian Motion Sensitive to Geometry Fluctuations? - Archive ouverte HAL
Article Dans Une Revue Journal of Statistical Physics Année : 2008

Is Brownian Motion Sensitive to Geometry Fluctuations?

Résumé

Many situations of physical and biological interest involve diffusions on manifolds. It is usually assumed that irregularities in the geometry of these manifolds do not influence diffusions. The validity of this assumption is put to test by studying Brownian motions on nearly flat 2D surfaces. It is found by perturbative calculations that irregularities in the geometry have a cumulative and drastic influence on diffusions, and that this influence typically grows exponentially with time. The corresponding characteristic times are computed and discussed.

Dates et versions

hal-03785721 , version 1 (23-09-2022)

Identifiants

Citer

Claire Chevalier, Fabrice Debbasch. Is Brownian Motion Sensitive to Geometry Fluctuations?. Journal of Statistical Physics, 2008, 131, pp.717-731. ⟨10.1007/s10955-008-9481-7⟩. ⟨hal-03785721⟩
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