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FORC Analysis of homogeneous nucleation in the two-dimensional kinetic Ising model

2004/09/30 by D. T. Robb, M. A. Novotny, P. A. Rikvold
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.mtrl-sci

paper · pdf · doi:10.1063/1.1849555

published as J. Appl. Phys. 97, 10E510 (2005) (3 pages) · 3 pages, 2 figures, presented at 2004 MMM meeting, to appear in conference proceedings in J. Appl. Phys. (May 2005); rephrased several sections

arxiv created 2004/11/19 · arxiv updated 2009/12/01

Abstract

The first-order reversal curve (FORC) method is applied to the two-dimensional kinetic Ising model. For the system size and magnetic field chosen, the system reverses by the homogeneous nucleation and growth of many droplets. This makes the dynamics of reversal nearly deterministic, in contrast to the strongly disordered systems previously studied by the FORC method. Consequently, the FORC diagrams appear different from those obtained in previous studies. The Kolmogorov-Johnson-Mehl-Avrami (KJMA) theory of phase transformation by nucleation and growth is applied to the system. Reasonable agreement with the Monte Carlo simulations is found, and the FORC method suggests how the KJMA theory could be extended.

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