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- W2051295339 abstract "We consider geometrical clusters (i.e. domains of parallel spins) in the square lattice random field Ising model by varying the strength of the Gaussian random field, $Delta$. In agreement with the conclusion of previous investigation (Phys. Rev. E{bf 63}, 066109 (2001)), the geometrical correlation length, i.e. the average size of the clusters, $xi$, is finite for $Delta > Delta_c approx 1.65$ and divergent for $Delta le Delta_c$. The scaling function of the distribution of the mass of the clusters as well as the geometrical correlation function are found to involve the scaling exponents of critical percolation. On the other hand the divergence of the correlation length, $xi(Delta) sim (Delta - Delta_c)^{-nu}$, with $nu approx 2.$ is related to that of tricritical percolation. It is verified numerically that critical geometrical correlations transform conformally." @default.
- W2051295339 created "2016-06-24" @default.
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- W2051295339 date "2007-01-29" @default.
- W2051295339 modified "2023-10-18" @default.
- W2051295339 title "Geometrical clusters in two-dimensional random-field Ising models" @default.
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- W2051295339 doi "https://doi.org/10.1103/physreve.75.011131" @default.
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