{"paper":{"title":"Spectral Density Scaling of Fluctuating Interfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Doil Jung, Hyun-Joo Kim","submitted_at":"2012-08-10T06:06:33Z","abstract_excerpt":"Covariance matrix of heights measured relative to the average height of a growing self-affine surface in the steady state are investigated in the framework of random matrix theory. We show that the spectral density of the covariance matrix scales as $\\rho(\\lambda) \\sim \\lambda^{-\\nu}$ deviating from the prediction of random matrix theory and has a scaling form, $\\rho(\\lambda, L) = \\lambda^{-\\nu} f(\\lambda / L^{\\phi})$ for the lateral system size $L$, where the scaling function $f(x)$ approaches a constant for $x \\ll 1$ and zero for $x \\gg 1$. The obtained values of exponents by numerical simul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.2095","kind":"arxiv","version":2},"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"}