Regensburg 2007 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 24: Poster I

DY 24.59: Poster

Wednesday, March 28, 2007, 16:00–18:00, Poster D

Dynamics of Vortex Filaments in Layered Media — •Pavel Popov, Alexey Romanov, and Konstantin Chukbar — Russian Research Center "Kurchatov Institute", Moscow, Russia

We perform theoretical investigation of the dynamics of a single vortex filament in layered superconducting structures, assuming the conductivity between layers to be zero. The language we use is purely classical, quantum effects being responsible only for the finite size and internal structure of vortex kernel, and for discretization of its amplitude. Using the general fact that generalized vorticity Ω=∇ × P^→ is freezed into motion of medium (in our case, superconducting electrons P^→=mv^→−qA^→/c) we derive the equations that allow us to get the velocity of medium motion and thus describe self-induced dynamics of a vortex filament. Similar problems have already been solved in the cases of hydrodinamic media and isotropic charged fluids.

Particularly, we consider linear waves on infinitely thin vortex filament. For this case we obtain dispersion relation and find out that, due to anisotropy, there is significant dependece of filament behaviour on the angle of its slope: when the inclination is larger than the critical value filament oscilations become unstable. Next, we get dispersion relations for various longitudial and transverse modes for a vortex with finite kernel size. We note that consideration of the energy of a finite vortex suggests that it could also be unstable (although, this is not the case with linear approximation).