{"paper":{"title":"A pair potential that reproduces the shape of isochrones in molecular liquids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech","physics.chem-ph","physics.comp-ph"],"primary_cat":"cond-mat.soft","authors_text":"Arno A. Veldhorst, Jeppe C. Dyre, Thomas B. Schr{\\o}der","submitted_at":"2016-04-19T22:14:06Z","abstract_excerpt":"Many liquids have curves (isomorphs) in their phase diagrams along which structure, dynamics, and some thermodynamic quantities are invariant in reduced units. A substantial part of their phase diagrams is thus effectively one dimensional. The shape of these isomorphs is described by a material-dependent function of density $h(\\rho)$, which for real liquids is well approximated by a power law $\\rho^\\gamma$. However, in simulations, a power law is not adequate when density changes are large; typical models such as the Lennard-Jones liquid show that $\\gamma(\\rho) \\equiv \\mathrm{d} \\ln h(\\rho)/\\m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.05763","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"}