{"paper":{"title":"Thermodynamic Geometry of two-dimensional square-well fluids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Thermodynamic geometry shows that two-dimensional square-well fluids have narrower R-crossing validity in subcritical regions and longer-ranging Widom lines in supercritical regions than three-dimensional fluids.","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Jaime Jaramillo-Guti\\'errez, Jos\\'e Torres-Arenas","submitted_at":"2026-05-13T14:53:35Z","abstract_excerpt":"Thermodynamic geometry of two-dimensional fluids has been investigated using a square-well model as a prototype fluid. A comparison with the three-dimensional case is performed in the subcritical and supercritical domains of thermodynamic space. In the subcritical region, it is found that the R-crossing method has a narrower range of validity for two-dimensional fluids compared to three-dimensional ones. On the other hand, in the supercritical region, an analysis of different Widom lines, including the R Widom line, shows that for two-dimensional fluids these lines extend further into the supe"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"In the subcritical region, it is found that the R-crossing method has a narrower range of validity for two-dimensional fluids compared to three-dimensional ones. On the other hand, in the supercritical region, an analysis of different Widom lines, including the R Widom line, shows that for two-dimensional fluids these lines extend further into the supercritical region than their three-dimensional counterparts.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The square-well potential and the chosen thermodynamic geometry framework (Ruppeiner metric) capture the essential physics needed to compare 2D and 3D fluid behavior across the stated domains.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Thermodynamic geometry of 2D square-well fluids reveals narrower R-crossing validity in subcritical regions and extended Widom lines in supercritical regions compared to 3D counterparts.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Thermodynamic geometry shows that two-dimensional square-well fluids have narrower R-crossing validity in subcritical regions and longer-ranging Widom lines in supercritical regions than three-dimensional fluids.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"494214329210381e4cae16e9dd7884a183c88706f10996e2ea48b3004c6c00b0"},"source":{"id":"2605.13626","kind":"arxiv","version":1},"verdict":{"id":"3f9d4b23-2a4b-421b-9c70-923ec51d5a30","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T17:46:41.720169Z","strongest_claim":"In the subcritical region, it is found that the R-crossing method has a narrower range of validity for two-dimensional fluids compared to three-dimensional ones. On the other hand, in the supercritical region, an analysis of different Widom lines, including the R Widom line, shows that for two-dimensional fluids these lines extend further into the supercritical region than their three-dimensional counterparts.","one_line_summary":"Thermodynamic geometry of 2D square-well fluids reveals narrower R-crossing validity in subcritical regions and extended Widom lines in supercritical regions compared to 3D counterparts.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The square-well potential and the chosen thermodynamic geometry framework (Ruppeiner metric) capture the essential physics needed to compare 2D and 3D fluid behavior across the stated domains.","pith_extraction_headline":"Thermodynamic geometry shows that two-dimensional square-well fluids have narrower R-crossing validity in subcritical regions and longer-ranging Widom lines in supercritical regions than three-dimensional fluids."},"references":{"count":46,"sample":[{"doi":"","year":1978,"title":"J. M. Kosterlitz and D. J. Thouless. Two-dimensional physics. In D. F. Brewer, editor,Progress in Low Temper- ature Physics, volume 7 ofProgress in Low Temperature Physics, pages 371–433. Elsevier, 19","work_id":"302bb6d6-6269-4f13-ab8a-381ee0aeff26","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1980,"title":"Michael N. Barber. Phase transitions in two dimensions. Physics Reports, 59(4):375–409, 1980. p-6 Thermodynamic Geometry of two-dimensional square-well fluids Fig. 7: Extremes of the response function","work_id":"db02d340-4c09-4c44-bf14-3853794ea112","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2004,"title":"Sanusi Liman, Chieko Totsuji, and Kenji Tsuruta","work_id":"98d13cd4-6df2-4b0d-ba1d-8a864a111cba","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2013,"title":"Quasi-2d liquid 3He.Phys","work_id":"e7c27309-4f45-4a8a-a872-251197163319","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2009,"title":"A. K. Geim. Graphene: Status and prospects.Science, 324(5934):1530–1534, 2009","work_id":"82d1e96c-b2f6-478c-bf4d-4cf5c4dbb539","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":46,"snapshot_sha256":"2174c1bff8a7955fe5c12c782b3120338545dc55f4a291c4dceecf7acbcd0768","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"}