Virial theorem for Ginzburg-Landau theories with potential applications to numerical studies of type-II superconductors

Abstract

In the framework of the Ginzburg-Landau theory, we derive and discuss the relation RH\ensuremath{\cdot}B=4\ensuremath{\pi}(@${F}_{\mathrm{kin}}$+${2F}_{\mathrm{field}}$-(${12F}_{\mathrm{inhom}}$), which should be useful in numerical calculations of magnetic properties of type-II superconductors.