DYNAMIC CRITICAL EXPONENTS OF THE ISING MODEL WITH MULTISPIN INTERACTIONS

Author:

SIMÕES C. S.1,DRUGOWICH DE FELÍCIO J. R.12

Affiliation:

1. Departamento de Física e Matemática — FFCLRP — Universidade de São Paulo, Av. dos Bandeirantes, 3900 — Ribeirão Preto, São Paulo, Brasil

2. Faculdades COC, Av. Abrahão Issa Hallack, 980 — Ribeirão Preto, São Paulo, Brasil

Abstract

We revisit the short-time dynamics of 2D Ising model with three spin interactions in one direction and estimate the critical exponents z, θ, β and ν. Taking properly into account the symmetry of the Hamiltonian, we obtain results completely different from those obtained by Wang et al.10 For the dynamic exponent z our result coincides with that of the 4-state Potts model in two dimensions. In addition, results for the static exponents ν and β agree with previous estimates obtained from finite size scaling combined with conformal invariance. Finally, for the new dynamic exponent θ we find a negative and close to zero value, a result also expected for the 4-state Potts model according to Okano et al.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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