Transverse force on a moving vortex with the acoustic geometry
High Energy Physics - Theory
2009-11-11 v1
Abstract
We consider the transverse force on a moving vortex with the acoustic metric using the -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.
Cite
@article{arxiv.hep-th/0501073,
title = {Transverse force on a moving vortex with the acoustic geometry},
author = {Peng-ming Zhang and Li-ming Cao and Yi-shi Duan and Cheng-kui Zhong},
journal= {arXiv preprint arXiv:hep-th/0501073},
year = {2009}
}
Comments
11 pages, no figure