{"paper":{"title":"Large fluctuations of a Kardar-Parisi-Zhang interface on a half-line","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Arkady Vilenkin, Baruch Meerson","submitted_at":"2018-07-29T12:38:02Z","abstract_excerpt":"Consider a stochastic interface $h(x,t)$, described by the $1+1$ Kardar-Parisi-Zhang (KPZ) equation on the half-line $x\\geq 0$. The interface is initially flat, $h(x,t=0)=0$, and driven by a Neumann boundary condition $\\partial_x h(x=0,t)=A$ and by the noise. We study the short-time probability distribution $\\mathcal{P}\\left(H,A,t\\right)$ of the one-point height $H=h(x=0,t)$. Using the optimal fluctuation method, we show that $-\\ln \\mathcal{P}\\left(H,A,t\\right)$ scales as $t^{-1/2} s \\left(H,A t^{1/2}\\right)$. For small and moderate $|A|$ this more general scaling reduces to the familiar simpl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.11048","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"}