Theoretical study of irreversible Bloch-wall jumps and static losses

A preliminary theory is developed for the static losses in ferromagnetic materials due to independent Barkhausen jumps. A linear relation between the area swept by the wall and the corresponding duration of the jump is obtained both on the basis of considerations of the pressure acting on the wall and by direct calculation of the energy loss. The latter method can be applied to the case of correlations between jumps. The energy spectrum of the single jump and the field on the wall are obtained by making use of an exact general formula for eddy-current density.