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Demagnetization, which is inherently present in the magnetic response ofsmall finite-size superconductors, can be accounted for by an effective$\kappa$ within a two-dimensional lowest Landau level approximation of theGinzburg-Landau functional. We show this by comparing the equilibriummagnetization of superconducting mesoscopic disks obtained from the numericalsolution of the three-dimensional Ginzburg-Landau equations with that obtainedin the ``effective'' LLL approximation.Comment: 5 pages, 4 figures, submitted to Phys. Rev.

Effective lowest Landau level treatment of demagnetization in superconducting mesoscopic disks