COLLECTIVE VARIABLE APPROACH FOR A MAGNETIC N-VORTEX SYSTEM

Nonlinear excitations are responsible for many important dynamical properties of materials (see e. g. Bishop et al.1). However, the treatment of the complete dynamics of appropriate models is often not possible. For the case of well-localized excitations there have been established methods which reduce all the possible degrees of freedom to a few, chosen to be sufficient to capture the intermediate (“mesoscopic”) length and time scales controlled by the nonlinear coherent structures and their interactions (collective variable approach, see e. g. Kosevich2).