Analytic Approximations for the Velocity of Field-Driven Ising Interfaces

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dc.creatorRikvold, Per Arne
dc.creatorKolesik, M.
dc.date1999-09-13
dc.date2000-07-21
dc.date.accessioned2026-07-07T03:14:32Z
dc.date.available2026-07-07T03:14:32Z
dc.descriptionWe 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.
dc.descriptionLaTex 24 pages with embedded postscript figures. J. Stat. Phys. in press. Minor revisions and two added references rel to V2, typo removed from V3
dc.identifierhttps://arxiv.org/abs/cond-mat/9909188
dc.identifierhttp://arxiv.org/abs/cond-mat/9909188
dc.identifierJ. Stat. Phys. 100, 377-403 (2000)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29707
dc.subjectStatistical Mechanics
dc.subjectMaterials Science
dc.titleAnalytic Approximations for the Velocity of Field-Driven Ising Interfaces
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