{"paper":{"title":"SPHERICALLY SYMMETRIC RANDOM WALKS III. POLYMER ADSORPTION AT A HYPERSPHERICAL BOUNDARY","license":"","headline":"","cross_cats":["cond-mat"],"primary_cat":"hep-lat","authors_text":"Carl M. Bender, Peter N. Meisinger (Washington U. in St. Louis), Stefan Boettcher (Brookhaven National Laboratory)","submitted_at":"1995-06-06T17:00:47Z","abstract_excerpt":"A recently developed model of random walks on a $D$-dimensional hyperspherical lattice, where $D$ is {\\sl not} restricted to integer values, is used to study polymer growth near a $D$-dimensional attractive hyperspherical boundary. The model determines the fraction $P(\\kappa)$ of the polymer adsorbed on this boundary as a function of the attractive potential $\\kappa$ for all values of $D$. The adsorption fraction $P(\\kappa)$ exhibits a second-order phase transition with a nontrivial scaling coefficient for $0<D<4$, $D\\neq 2$, and exhibits a first-order phase transition for $D>4$. At $D=4$ ther"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-lat/9506013","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"}