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Analytic Approximations for the Velocity of Field-Driven Ising Interfaces | | Per Arne Rikvold
; M. Kolesik
; | | Date: |
14 Sep 1999 | | Journal: | J. Stat. Phys. 100, 377-403 (2000) | | Subject: | Statistical Mechanics; Materials Science | cond-mat.stat-mech cond-mat.mtrl-sci | | Affiliation: | Florida State Univ.) and M. Kolesik (Univ. of Arizona | | Abstract: | 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 class populations for moving interfaces, and thereby a nonlinear-response approximation for the velocity. The analytic results are compared with Monte Carlo simulations. Excellent agreement is found in a wide range of field, temperature, and interface orientation. | | Source: | arXiv, cond-mat/9909188 | | Services: | Forum | Review | PDF | Favorites | |
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