{"paper":{"title":"Large-$n$ approach to thermodynamic Casimir effects in slabs with free surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"Alfred Hucht, Daniel Gr\\\"uneberg, Felix M. Schmidt, H. W. Diehl, Martin Hasenbusch, Sergei B. Rutkevich","submitted_at":"2014-02-14T16:03:43Z","abstract_excerpt":"The classical $n$-vector $\\phi^4$ model with $O(n)$ symmetrical Hamiltonian ${\\cal H}$ is considered in a $\\infty^2\\times L$ slab geometry bounded by a pair of parallel free surface planes at separation $L$. The temperature-dependent scaling functions of the excess free energy and the thermodynamic Casimir force are computed in the large-$n$ limit for temperatures $T$ at, above, and below the bulk critical temperature $T_{\\rm c}$. Their $n=\\infty$ limits can be expressed exactly in terms of the eigensystem of a self-consistent one-dimensional Schr\\\"odinger equation. This equation is solved by "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3510","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"}