{"paper":{"title":"Thermal Excitations of Warped Membranes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Andrej Kosmrlj, David R. Nelson","submitted_at":"2013-12-14T21:19:45Z","abstract_excerpt":"We explore thermal fluctuations of thin planar membranes with a frozen spatially-varying background metric and a shear modulus. We focus on a special class of $D$-dimensional ``warped membranes'' embedded in a $d-$dimensional space with $d\\ge D+1$ and a preferred height profile characterized by quenched random Gaussian variables $\\{h_\\alpha({\\bf q})\\}$, $\\alpha=D+1,\\ldots, d$, in Fourier space with zero mean and a power law variance $\\overline{ h_\\alpha({\\bf q}_1) h_\\beta({\\bf q}_2) } \\sim \\delta_{\\alpha, \\beta} \\, \\delta_{{\\bf q}_1, -{\\bf q}_2} \\, q_1^{-d_h}$. The case $D=2$, $d=3$ with $d_h "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.4089","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"}