Dresden 2011 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 34: Fluid Dynamics and Turbulence II

DY 34.5: Talk

Thursday, March 17, 2011, 15:15–15:30, ZEU 255

Sound scattering on irrotational vortices — •Piotr Marecki — Uni Duisburg-Essen

In the talk I will discuss the current status of the problem of sound scattering on typical vortex lines in superfluids. I will use hydrodynamical approximation, in which sound will be regarded as small (test) perturbation of a given background flow. I will use the acoustic-spacetime approach, which quite directly leads to the central issues of the problem. Curiously, this classical subject has deep connections to other important problems of theoretical physics, including: Bohm-Aharonov scattering, spectral analysis of systems with singular potentials, and behavior of classical/quantum fields in rotating spacetimes. Despite many efforts over the last 130 years, in the opinion of the author, the subject cannot be regarded as closed, and new important advances continue to be made. In particular, I will draw attention to the issues of boundary conditions at the vortex core and at infinity, and to the consequences of various (mathematically allowed) choices for the physical scattering characteristics.