Correlation analysis of the damage spreading problem in a 2-dimensional Ising model
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.
Year of publication: |
1999
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Authors: | Argolo, C. ; Mariz, A.M. ; Miyazima, S. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 264.1999, 1, p. 142-148
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Publisher: |
Elsevier |
Saved in:
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