arXiv subjects
Publications and source records attributed to Friedmar Schütze.
We study the mean field equation of motion for driven domain walls in random media. We discuss the two cases of an external constant as well as an oscillating driving force. Our main focus lies on the critical dynamics close to the depinning transition, which we study by analytical and numerical methods. We find power-law scaling for the velocity as well as the hysteresis loop area.
The analytic description of ac-driven elastic interfaces in random potentials is desirable because the problem is experimentally relevant. This work emphasises on the mean field approximation for the problem at zero temperature. We prove that perturbation theory is regular in all orders by giving an inductive scheme how to find groups of ill-behaved graphs that mutually cancel, leaving a regular expression. In the parameter regimes for which perturbation theory is applicable it agrees with numerical results. Further, we determine the dependence of the Fourier coefficients of the mean velocity on the parameters of the model.