Numerical Simulation Research Of Domain-wall Motion On The Finite Thin Magnetic Film At Depinning Transition

Researches on domain-wall motions in magnetic materials are of importance in both application and theoretical aspects. Phase transition problem, first studied more than a century ago, has experienced the theories from average field theory to renormalization group theory as well as the lattice model theory like Ising model. And since the U.S. government launched the Manhattan Project, the computation technology, as a new tool, started to play an increasingly important role in research practice in various sub realms of Physics.In this paper, we focus on the depinning transition of thin-film magnetic domain-wall. Basing on the multilayer Ising model, we employ Monte Carlo numerical method to investigate the short-time dynamics behavior of the domain-wall motion when the system is far from equilibrium state. And we find that despite of the unimportantly big difference of critical external driven field, all kinds of exponents exhibit no obvious difference.According to some theoretical predictions and other numerical outcomes on the depinning transition issue, in3d situation, the dynamical exponent Z becomes distinctly large while the domain-wall roughening exponent gets obviously smaller when compared with2d situation. Under this guidance, we concluded that extra efforts in researching thicker multilayer models or complete3d model are needed.