{"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/unveiling-the-singular-dynamics-in-the-cosmic","title":"Unveiling the singular dynamics in the cosmic large-scale structure","arxiv_id":"1912.00868","date":"2019-12-02","proceeding":null,"authors":["Cornelius Rampf","Uriel Frisch","Oliver Hahn"],"abstract":"It is known that the gravitational collapse of cold dark matter leads to infinite-density caustics that seed the primordial dark-matter halos in the large-scale structure. The development of these caustics begins, generically, as an almost one-dimensional phenomenon with the formation of pancakes. Focusing on the one-dimensional case, we identify a landscape of non-differentiable, and thus, singular features in the particle acceleration that emerge after the first crossing of particle trajectories. We complement our fully analytical studies by high-resolution simulations and find outstanding agreement, particularly shortly after the first crossing. We develop the methods in one space dimension but outline briefly the necessary steps for the 3D case.","url_abs":"https://arxiv.org/abs/1912.00868v3","url_pdf":"https://arxiv.org/pdf/1912.00868v3.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":"unveiling-the-singular-dynamics-in-the-cosmic","repo_url":"https://bitbucket.org/ohahn/cosmo_sim_1d","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"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}