Short-time critical dynamics of the Baxter-Wu model

Everaldo Arashiro¹, J R Drugowich de Felício

¹Departamento de Física e Matemática, Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto, Universidade de São Paulo, Avenida Bandeirantes, 3900-CEP-14040-901, Ribeirão Preto, São Paulo, Brazil. everaldo@dfm.ffclrp.usp.br

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|June 6, 2003

Abstract:

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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Abstract:

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