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

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  • Grassberger, Peter

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.

Suggested Citation

  • Grassberger, Peter, 1995. "Damage spreading and critical exponents for “model A” Ising dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(4), pages 547-559.
    • Handle: RePEc:eee:phsmap:v:214:y:1995:i:4:p:547-559
    DOI: 10.1016/0378-4371(94)00285-2
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    1. Giancarlo Gandolfo & Pier Carlo Padoan & Giuseppe De Arcangelis & Clifford R. Wymer, 1994. "The Italian Continuous Time Model: Results of the Nonlinear Estimation," CESifo Working Paper Series 69, CESifo.
    2. Bray, R.M. & Marsden, M.E. & Peterson, M.R., 1991. "Standardized comparisons of the use of alcohol, drugs, and cigarettes among military personnel and civilians," American Journal of Public Health, American Public Health Association, vol. 81(7), pages 865-869.
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    Cited by:

    1. Rubio Puzzo, M. Leticia & Saracco, Gustavo P. & Bab, Marisa A., 2016. "Phase transitions and damage spreading in a nonequilibrium lattice gas model with mixed dynamic rules," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 476-486.
    2. Wang, Fugao & Suzuki, Masuo, 1995. "Finite-size scaling properties of the damage distance and dynamical critical exponent for the Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 534-541.

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