1301.5213 (Robert L. Jerrard et al.)

Vortex dynamics for the two dimensional non homogeneous Gross-Pitaevskii
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Robert L. Jerrard, Didier Smets

We derive the asymptotical dynamical law for Ginzburg-Landau vortices in an inhomogeneous background density under the Schr\"odinger dynamics, when the Ginzburg-Landau parameter goes to zero. New ingredients involve across the cores lower bound estimates and approximations.

View original: http://arxiv.org/abs/1301.5213