摘要: Abstract A method is presented to obtain stochastic equations of motion for topological defects from the underlying TDGL-like dissipative field equations. The makes use virtual displacements Goldstone coordinates defects. Effects kinematical constraints among are studied. applied modulated systems and we interfaces (domain walls) vortex lines (dislocation or defect lines). driving force a line found include besides usual surface tension new due misfit, which an analogue Magnus on quantized Peach-Kochler dislocation. general expression interactions between parts obtained in terms asymptotic forms variables far interfaces.