{"paper":{"title":"Geometrical clusters in two-dimensional random-field Ising models","license":"","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.stat-mech","authors_text":"Ferenc Igl\\'oi, L\\'aszl\\'o K\\\"ornyei","submitted_at":"2006-10-04T10:43:20Z","abstract_excerpt":"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 expon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0610110","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}