Damage spreading and critical exponents for “model A” Ising dynamics

Peter Grassberger

Physica A: Statistical Mechanics and its Applications, 1995, vol. 214, issue 4, 547-559

Abstract: Using damage spreading and heat bath dynamics, we study the Ising model in 2 and 3 dimensions with non-conservative dynamics. Our algorithm differs in some important points from previous ones, which makes it rather efficient. We give estimates for the exponent z which seem to be the most precise published so far (2.172 ± 0.006 for d = 2, 2.032 ± 0.004 for d = 3). We also give precise estimates of the exponent θ′ introduced by Janssen et al. (Z. Phys. B 73 (1989) 539) and of analogous but in principle independent exponents. We find surprisingly that some of the latter agree with θ′, and give an explanation for this.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:214:y:1995:i:4:p:547-559

DOI: 10.1016/0378-4371(94)00285-2

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