Persistence exponent in a superantiferromagnetic quenching

Details Persistence exponent in a superantiferromagnetic quenching Persistence exponent in a superantiferromagnetic quenching

1998-09-23

arxiv.org/abs/cond-mat/9809310v1

Physica A 265, 43-52, 1999

Physics

Condensed Matter

Statistical Mechanics

LaTeX file with postscript figures

Scientific paper

We measure the persistence exponent in a phase separating two-dimensional spin system with non-conserved dynamics quenched in a region with four coexisting stripe phases. The system is an Ising model with nearest neighbor, next-to-the-nearest neighbor and plaquette interactions. Due the particular nature of the ground states, the order parameter is defined in terms of blocks of spins. Our estimate of the persistence exponent, $\theta=0.42$, differs from those of the two-dimensional Ising and four state Potts models. Our procedure allows the study of persistence properties also at finite temperature $T$: our results are compatible with the hypothesis that $\theta$ does not depend on $T$ below the critical point.

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