Stochastic Perturbations in Vortex Tube Dynamics
摘要
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.
引用
@article{arxiv.cond-mat/0404745,
title = {Stochastic Perturbations in Vortex Tube Dynamics},
author = {L. Moriconi and F. A. S. Nobre},
journal= {arXiv preprint arXiv:cond-mat/0404745},
year = {2009}
}
备注
16 pages + 2 eps figures, REVTeX4