Short-time critical dynamics of the Baxter-Wu model

Details Short-time critical dynamics of the Baxter-Wu model Short-time critical dynamics of the Baxter-Wu model

2002-12-05

arxiv.org/abs/cond-mat/0212116v2

Phys. Rev. E 67, 046123 (2003)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 11 figures, accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.67.046123

We study the early time behavior of the Baxter-Wu model, an Ising model with three-spin interactions on a triangular lattice. Our estimates for the dynamic exponent $z$ are compatible with results recently obtained for two models which belong to the same universality class of the Baxter-Wu model: the two-dimensional four-state Potts model and the Ising model with three-spin interactions in one direction. However, our estimates for the dynamic exponent $\theta $ of the Baxter-Wu model are completely different from the values obtained for those models. This discrepancy could be related to the absence of a marginal operator in the Baxter-Wu model.

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