Ba. Ivanov et Sn. Lyakhimets, THEORY OF A DYNAMICAL COERCIVE FORCE IN MAGNETS WITH MICROSCOPIC DEFECTS, IEEE transactions on magnetics, 30(2), 1994, pp. 824-827
The peculiar dynamical drag force F(c) can arise at the domain wall mo
tion in a magnet with microscopic defects, such that cannot pin domain
wall in the usual way. The value of F(c) is finite as the domain wall
velocity upsilon goes to zero. The reason for such behavior is the em
ission of bending waves of the domain wall. The calculations for diffe
rent types of impurities as well as for both bulk ferromagnet and ultr
athin magnetic layers are presented. In 3D ferromagnet the F(c) value
is finite at upsilon --> 0 and this is interpreted as the dynamical co
ercive force. In 2D case (e.g. in monolayer films) the drag force dive
rges at small velocities as F(c) is-proportional-to 1/upsilon1/2 . In
the film with a finite thickness and very small upsilon the force has
a viscous character: F(c) is-proportional-to upsilon.