Dynamic critical exponents of the Ising model with multispin interactions

Details Dynamic critical exponents of the Ising model with multispin interactions Dynamic critical exponents of the Ising model with multispin interactions

2001-03-07

arxiv.org/abs/cond-mat/0103165v2

Physics

Condensed Matter

Statistical Mechanics

12 pages, 9 figures, corrected Abstract mistypes, corrected equation on page 4 (Parameter Q)

Scientific paper

10.1142/S0217984901001902

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

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