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Monte Carlo simulations of domain growth in 2-dim compressible Ising models

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

Although the behavior of the rigid Ising model (and its binary alloy equivalent) is well known, a full understanding of the properties of compressible models remains elusive. As part of a large scale Monte Carlo investigation of Ising models with elastic couplings between spins, we have simulated the growth of domains in distortable square nets which have been quenched from high temperature to below the critical temperature. We have used spin-exchange sampling, i.e. the magnetization is conserved, with simple distance dependent spin-spin coupling and with the pressure held fixed. Phase unmixing proceeds by the formation and growth of domains whose size $R(t)$ increases at long times as a power law $R(t)=AT^n$. Results have been obtained for different bond mismatches, i.e. bond lengths for which the energy is minimized for $++$ and $--$ pairs, and surprising values of the domain growth exponent $n$ have been found which differ from the predictions of Lifshitz-Slyozov theory. Qualitative differences can also be seen in the patterns of domains that develop for different mismatches. 0.25cm This research was supported in part by the National Science Foundation

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