Dynamics of a vortex in two-dimensional superfluid He-3-A: Force caused bythe l texture

Based on the Landau-Ginzburg Lagrangian, the dynamics of a vortex is studie d for superfluid He-3-A characterized by the I texture. The resultant equat ion of motion for a vortex leads to the nondissipative Magnus-type force ca used by the I texture. The force is explicitly written in terms of the mapp ing degree from the compactified two-dimensional plane to the space of I ve ctor, which reflects the quantitative differences of vortex configurations, especially the Mermin-Ho and Anderson-Toulouse vortices. The dissipative f orce is also derived by introducing the dissipative function. The formulati on is applied to anisotropic superconductors to evaluate the Hall current, which incorporates the change between vortex configurations. [S0163-1829(99 )13613-0].