- 97-213 Ovchinnikov, Yu.N., Sigal, I.M.
- The Ginzburg-Landau Equation II. The Energy of Vortex Configurations
Apr 14, 97
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Abstract. We consider the Ginzburg-Landau
equation in dimension two. We introduce
a key notion of the energy of vortex configurations.
It is defined by minimizing the renormalized Ginzburg-Landau
(free) energy introduced in the previous paper over
functions with a given set of zeros of given local
This notion allows us to define the vortex interaction
and vortex Hamiltonian in a canonical way.
We find asymptotic behaviour of this energy as the intervortex
To this end we use several novel techniques.