Domain growth in Ising systems with quenched disorder

2005/02/23 by Raja Paul, Sanjay Puri, Heiko Rieger · 3 citations
Physics and Astronomy · #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #Theoretical and Computational Physics #cond-mat.dis-nn

paper · pdf · doi:10.1103/physreve.71.061109

published as Phys. Rev. E 71, 061109 (2005) · 11 pages, 15 figures

arxiv created 2005/02/23 · openalex publication_date 2005/06/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present results from extensive Monte Carlo (MC) simulations of domain growth in ferromagnets and binary mixtures with quenched disorder. These are modeled by the random-bond Ising model and the dilute Ising model with either nonconserved (Glauber) spin-flip kinetics or conserved (Kawasaki) spin-exchange kinetics. In all cases, our MC results are consistent with power-law growth with an exponent theta(T, epsilon) which depends on the quench temperature T and the disorder amplitude epsilon. Such exponents arise naturally when the coarsening domains are trapped by energy barriers that grow logarithmically with the domain size. Our MC results show excellent agreement with the predicted dependence of theta(T, epsilon).

Citations

• Large-distance and long-time properties of a randomly stirred fluid

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