Ising cluster fragmentation at the critical point
… Since as diverges not faster than µs, we expect λ ≤ ψ, and our results for larger lattices, λ
≃ ψ, suggest that φ ≃ 2.0 for Ising cluster fragmentation. Figure 3 shows the fragment size
distribution using φ = 2.0 which follows the usual scaling law, asbss' = s1−φf(s /s), by
Edwards and collaborators. That means that general scaling ideas in terms of … Perhaps
our program was wrong, perhaps logarithmic factors, ignored in our analysis, arose from the
specific heat singularity, perhaps our Ising clusters fragment drastically different from the not …
≃ ψ, suggest that φ ≃ 2.0 for Ising cluster fragmentation. Figure 3 shows the fragment size
distribution using φ = 2.0 which follows the usual scaling law, asbss' = s1−φf(s /s), by
Edwards and collaborators. That means that general scaling ideas in terms of … Perhaps
our program was wrong, perhaps logarithmic factors, ignored in our analysis, arose from the
specific heat singularity, perhaps our Ising clusters fragment drastically different from the not …
The scaling law of Edwards et al., for cluster fragmentation of critical percolation clusters is not confirmed by analogous Monte Carlo simulations at the Curie point of the two-dimensional Ising model.
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