Analytic Approximations for the Velocity of Field-Driven Ising Interfaces

被引:0
作者
Per Arne Rikvold
M. Kolesik
机构
[1] Florida State University,Center for Materials Research and Technology, School of Computational Science and Information Technology, and Department of Physics
[2] Slovak Academy of Sciences,Institute of Physics
[3] University of Arizona,Department of Mathematics
来源
Journal of Statistical Physics | 2000年 / 100卷
关键词
kinetic Ising model; solid-on-solid (SOS) approximation; microscopic interface structure; surface anisotropy; surface growth; interface dynamics; linear response; nonlinear response; Monte Carlo simulation;
D O I
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中图分类号
学科分类号
摘要
We present analytic approximations for the field, temperature, and orientation dependences of the interface velocity in a two-dimensional kinetic Ising model in a nonzero field. The model, which has nonconserved order parameter, is useful for ferromagnets, ferroelectrics, and other systems undergoing order–disorder phase transformations driven by a bulk free-energy difference. The solid-on-solid (SOS) approximation for the microscopic surface structure is used to estimate mean spin-class populations, from which the mean interface velocity can be obtained for any specific single-spin-flip dynamic. This linear-response approximation remains accurate for higher temperatures than the single-step and polynuclear growth models, while it reduces to these in the appropriate low-temperature limits. The equilibrium SOS approximation is generalized by mean-field arguments to obtain field-dependent spin-class populations for moving interfaces, and thereby a nonlinear-response approximation for the velocity. The analytic results for the interface velocity and the spin-class populations are compared with Monte Carlo simulations. Excellent agreement is found in a wide range of field, temperature, and interface orientation.
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页码:377 / 403
页数:26
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