We investigate the motion of a domain wall in the presence of a dynamical hyperfine field. At temperature T high compared to the hyperfine coupling, the nuclear spins create a spatially random potential landscape, with dynamics dictated by the nuclear relaxation time T2. The distribution of the domain wall relaxation times (both in the thermal and quantum regimes) can show a long tail, characteristic of stochastic processes where rare events are important. Here, these are due to occasional strong fluctuations in the nuclear spin polarisation.
@article{arxiv.cond-mat/9908423,
title = {Domain Wall Motion in the Presence of Nuclear Spins},
author = {M. Dube and P. C. E. Stamp},
journal= {arXiv preprint arXiv:cond-mat/9908423},
year = {2007}
}