Domain Wall Migration in 3-d in the Presence of Diffusing Impurities |
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Authors: | MI Mendelev DJ Srolovitz |
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Institution: | (1) Princeton Materials Institute & Department of Mechanical & Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA |
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Abstract: | A new three-dimensional simulation procedure was developed for domain wall (grain boundary, APB, magnetic, etc.) migration in the presence of diffusing impurities. The simulation is based upon a kinetic Monte Carlo algorithm and an extended Ising model, incorporating both conserved and non-conserved dynamics. The simulations show a dependence of the domain wall velocity on driving force which is very similar to that seen in 2-d and in qualitative agreement with experiment. That is, the presence of a low mobility regime at small driving force and an abrupt transition to a high mobility regime at larger forces, under some conditions, and a continuous, non-linear dependence of the velocity on the force in others. The main qualitative difference between the 2-d and 3-d simulation results is in how the domain wall roughness depends on driving force. The velocity-driving force relation is not consistent with classic continuum models, but may be described, in the high velocity regime, by a theory based upon a discrete version of these models. |
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Keywords: | impurity drag boundary mobility Ising model kinetic Monte Carlo method |
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