Short-Time Dynamics of an Ising Model with Competing Interactions

Details Short-Time Dynamics of an Ising Model with Competing Interactions Short-Time Dynamics of an Ising Model with Competing Interactions

2002-12-12

arxiv.org/abs/cond-mat/0212302v1

Physics

Condensed Matter

Statistical Mechanics

9 pages, 8 figures, accepted for publication in Modern Physics Letters B

Scientific paper

10.1142/S0217984903005068

In this work the two-dimensional Ising model with nearest- and next-nearest-neighbor interactions is revisited. We obtain the dynamic critical exponents $z$ and $\theta$ from short-time Monte Carlo simulations. The dynamic critical exponent $z$ was obtained from the time behavior of the ratio $F_2=< M^2>_{m_0=0}/< M>^2_{m_0=1}\sim t^{d/z}$, whereas the non-universal exponent $\theta$ was estimated from the time correlation of the order parameter $\sim t^{\theta}$, where $M(t)$ is the order parameter at instant $t$, $d$ is the dimension of the system and $<(...)>$ is the average of the quantity $(...)$ over different samples. We have also obtained the static critical exponents $\beta$ and $\nu$ by investigating the time behavior of the magnetization.

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