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In the 2-dimensional anisotropic Heisenberg model with XY-symmetry there arenon-planar vortices which exhibit a localized structure of the z-components ofthe spins around the vortex center. We study how thermal noise induces atransition of this structure from one polarization to the opposite one. Wedescribe the vortex core by a discrete Hamiltonian and consider a stationarysolution of the Fokker-Planck equation. We find a bimodal distribution functionand calculate the transition rate using Langer's instanton theory (1969). Theresult is compared with Langevin dynamics simulations for the full many-spinmodel.Comment: 15 pages, 4 figures, Phys. Rev. B., in pres

Noise-induced switching between vortex states with different polarization in classical two-dimensional easy-plane magnets