Analytic approximations for the velocity of field-driven Ising interfaces
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Publication:5955515
DOI10.1023/A:1018664301115zbMATH Open1001.82074arXivcond-mat/9909188OpenAlexW2076041479MaRDI QIDQ5955515
Miroslav Kolesik, Per Arne Rikvold
Publication date: 15 December 2002
Published in: Journal of Statistical Physics (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/cond-mat/9909188
Monte Carlo simulationkinetic Ising modelmicroscopic interface structuresolid-on-solid approximation
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