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Persistence exponent in a superantiferromagnetic quenching

Emilio N. M. Cirillo·Giuseppe Gonnella·Sebastiano Stramaglia
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Abstract

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, $θ=0.42$, 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 $θ$ does not depend on $T$ below the critical point.

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Emilio N. M. Cirillo, Giuseppe Gonnella, Sebastiano Stramaglia. 1998-09-23. Persistence exponent in a superantiferromagnetic quenching. https://doi.org/10.1016/s0378-4371(98)00555-x

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