Transverse force on a moving vortex with the acoustic geometry

Details Transverse force on a moving vortex with the acoustic geometry Transverse force on a moving vortex with the acoustic geometry

2005-01-11

arxiv.org/abs/hep-th/0501073v1

Phys.Lett. A326 (2004) 375

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figure

Scientific paper

10.1016/j.physleta.2004.04.060

We consider the transverse force on a moving vortex with the acoustic metric using the $\phi $-mapping topological current theory. In the frame of effective spacetime geometry the vortex appear naturally by virtue of the vortex tensor in the Lorentz spacetime and we show that it is just the vortex derived with the order parameter in the condensed matter. With the usual Lagrangian we obtain the equation of motion for the vortex. At last, we show that the transverse force on the moving vortex in our equation is just the usual Magnus force in a simple model.

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