{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/some-features-of-the-modified-solid-liquid","title":"Some Features of the Modified Solid-Liquid-Vapor Equation of State","arxiv_id":"2312.01877","date":"2023-12-04","proceeding":null,"authors":["Alexey V. Batov","Ivan A. Galyaev","Maksim I. Kostiuchek","Anton M. Salnikov"],"abstract":"The paper considers the geometry of the Modified Solid-Liquid-Vapour equation of state. This model describes a substance state in three phases. Thermodynamics states are points on Legendrian or Lagrangian manifolds in the corresponding contact or symplectic spaces in terms of differential geometry. The conditions of applicable states and the first order phase transition are given for the Modified Solid-Liquid-Vapour equation of state. The Lagrangian manifold, singularity curve and the phase transition curves are plotted for methane.","url_abs":"https://arxiv.org/abs/2312.01877v1","url_pdf":"https://arxiv.org/pdf/2312.01877v1.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"some-features-of-the-modified-solid-liquid","repo_url":"https://github.com/lychaginteam/feslib","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}