Dispersion and collapse in stochastic velocity fields on a cylinder

Details Dispersion and collapse in stochastic velocity fields on a cylinder Dispersion and collapse in stochastic velocity fields on a cylinder

2009-11-04

arxiv.org/abs/0911.0915v1

Journal of Statistical Physics 138, 4-5 (2010) 579-597

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1007/s10955-009-9875-1

The dynamics of fluid particles on cylindrical manifolds is investigated. The velocity field is obtained by generalizing the isotropic Kraichnan ensemble, and is therefore Gaussian and decorrelated in time. The degree of compressibility is such that when the radius of the cylinder tends to infinity the fluid particles separate in an explosive way. Nevertheless, when the radius is finite the transition probability of the two-particle separation converges to an invariant measure. This behavior is due to the large-scale compressibility generated by the compactification of one dimension of the space.

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