The two-dimensional site-diluted Ising ferromagnet a damage-spreading analysis

E.S. de Sousa, A.M. Mariz, F.D. Nobre and U.M.S. Costa

Physica A: Statistical Mechanics and its Applications, 1997, vol. 241, issue 3, 469-480

Abstract: The quenched site-diluted Ising ferromagnet on a square lattice, for which each site is occupied or empty with probabilities p and 1 − p, respectively, is studied numerically through damage-spreading procedures. By making use of the Glauber dynamics, the percolation threshold pc is estimated. Within the heat-bath dynamics, the damage-spreading temperatures Td(p) (for several values of p>pc) are computed, indicating a strong correlation with the corresponding critical temperatures Tc(p). A procedure for estimating the fractal dimensions of clusters of damaged sites, at low temperatures, is presented; as p → pc, our estimate is very close to 91/48, which is the fractal dimension of the infinite cluster at p = pc in two-dimensional site percolation. Whenever possible to compare, our results are in good agreement with the best estimates available from other techniques, in spite of a modest computational effort.

Keywords: Ising model; Diluted ferromagnet; Dynamical phase transitions; Damage spreading (search for similar items in EconPapers)
Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:241:y:1997:i:3:p:469-480

DOI: 10.1016/S0378-4371(97)00173-8

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