Continuous depinning transition with an unusual hysteresis effect

Hysteresis effect which occurred in the models of the depinning transition with both elastic and transient overshoot stresses was discussed. The hysteresis was not found to show up in the field theory of the continuum limit as it was caused by irrelevant perturbations. A scattering of microscopic seeds was found to destroy semihysteresis. It was suggested that a perturbation with a fixed frequency and amplitude must destroy any of the semihysteresis, which would reduce the first order hysteresis that occurred for M>M_c.