University of Cambridge > > Theory of Condensed Matter > Groebli solution for three magnetic vortices

Groebli solution for three magnetic vortices

Add to your list(s) Download to your calendar using vCal

If you have a question about this talk, please contact Dr G Moller.

The dynamics of N point vortices in a fluid is described by the Helmholtz-Kirchhoff (HK) equations which lead to a completely integrable Hamiltonian system for N=2 or 3 but chaotic dynamics for N>3. Here we consider a generalization of the HK equations to describe the dynamics of magnetic vortices within a collective-coordinate approximation. In particular, we analyze in detail the dynamics of a system of three magnetic vortices by a suitable generalization of the solution for three point vortices in an ordinary fluid obtained by Groebli more than a century ago. The significance of our results for the dynamics of ferromagnetic elements is briefly discussed.

Ref: S. Komineas and N. Papanicolaou, J. Math. Phys. 51, 042705 (2010); arXiv:0911.2377v1

This talk is part of the Theory of Condensed Matter series.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.


© 2006-2023, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity