Ultrasound scattering and the study of vortex correlations in disordered flows

Details Ultrasound scattering and the study of vortex correlations in disordered flows Ultrasound scattering and the study of vortex correlations in disordered flows

1999-12-14

arxiv.org/abs/chao-dyn/9912023v1

Nonlinear Sciences

Chaotic Dynamics

16 latex pages, 1 figure

Scientific paper

10.1103/PhysRevE.61.1491

In an idealized way, some turbulent flows can be pictured by assemblies of many vortices characterized by a set of particle distribution functions. Ultrasound provide an useful, nonintrusive, tool to study the spatial structure of vorticity in flows. This is analogous to the use of elastic neutron scattering to determine liquid structure. We express the dispersion relation, as well as the scattering cross section, of sound waves propagating in a ``liquid'' of identical vortices as a function of vortex pair correlation functions. In two dimensions, formal analogies with ionic liquids are pointed out.

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