{"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/phases-with-splay-modulation-in-a-system-of","title":"Splay-induced order in systems of hard wedges","arxiv_id":"2210.04737","date":"2022-10-10","proceeding":null,"authors":["Piotr Kubala","Michał Cieśla","Lech Longa"],"abstract":"We studied equilibrium systems composed of wedge-shaped monodisperse molecules using hard-particle Monte Carlo simulations. Each model molecule was made up of six colinear tangent spheres with linearly decreasing diameters. Thus, the shape was unequivocally described by a single parameter $d$: the ratio of the smallest and largest diameters of the spheres. The phases of the systems were analyzed as a function of $d$ and packing density $\\eta$. As interactions were purely of the excluded volume type, the emergent phases were governed solely by the configurational entropy. For $\\eta < 0.5$, in addition to the isotropic liquid, we observed standard nematic and smectic A liquid crystalline phases. However, for $\\eta > 0.5$, apart from the ordinary non-polar hexagonal crystal, three new frustrated polar crystalline phases with splay modulation appeared: antiferroelectric splay crystal ($\\text{Cr}_\\text{S}\\text{P}_\\text{A}$), antiferroelectric double splay crystal ($\\text{Cr}_\\text{DS}\\text{P}_\\text{A}$) and ferroelectric double splay crystal ($\\text{Cr}_\\text{DS}\\text{P}_\\text{F}$). All configurations were studied in terms of nematic, smectic, and hexatic order parameters, as well as the radial distribution function and the polarization correlation function.","url_abs":"https://arxiv.org/abs/2210.04737v3","url_pdf":"https://arxiv.org/pdf/2210.04737v3.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":"phases-with-splay-modulation-in-a-system-of","repo_url":"https://github.com/pkua007/rampack","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}