Stochastic Perturbations in Vortex Tube Dynamics

Details Stochastic Perturbations in Vortex Tube Dynamics Stochastic Perturbations in Vortex Tube Dynamics

2004-04-30

arxiv.org/abs/cond-mat/0404745v2

Phys. Rev. E 70, 56309 (2004).

Physics

Condensed Matter

Statistical Mechanics

16 pages + 2 eps figures, REVTeX4

Scientific paper

10.1103/PhysRevE.70.056309

A dual lattice vortex formulation of homogeneous turbulence is developed, within the Martin-Siggia-Rose field theoretical approach. It consists of a generalization of the usual dipole version of the Navier-Stokes equations, known to hold in the limit of vanishing external forcing. We investigate, as a straightforward application of our formalism, the dynamics of closed vortex tubes, randomly stirred at large length scales by gaussian stochastic forces. We find that besides the usual self-induced propagation, the vortex tube evolution may be effectively modeled through the introduction of an additional white-noise correlated velocity field background. The resulting phenomenological picture is closely related to observations previously reported from a wavelet decomposition analysis of turbulent flow configurations.

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