Correlation analysis of the damage spreading problem in a 2-dimensional Ising model

C. Argolo, A.M. Mariz and S. Miyazima

Physica A: Statistical Mechanics and its Applications, 1999, vol. 264, issue 1, 142-148

Abstract: We have studied the time dependence of the damage-spreading in a 2-dimensional Ising Model using time series analysis. We have found that the signal has a Hurst exponent 0.5 in high temperatures, and it approaches 1 near the temperature TD where the damage goes to zero. We have also measured the correlation of the signal and found that it is strongly correlated near TD and describes a persistent fractional Brownian motion (FBM). Therefore the Hamming distance in the Ising model can be used to generate FBM near TD. We suggest that the system presents a 1/f spectrum in the transition temperature TD.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:264:y:1999:i:1:p:142-148

DOI: 10.1016/S0378-4371(98)00344-6

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