{"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/scaling-study-of-diffusion-in-dynamic-crowded","title":"Scaling study of diffusion in dynamic crowded spaces","arxiv_id":"2011.02444","date":"2020-11-04","proceeding":null,"authors":["H. Bendekgey","G. Huber","D. Yllanes"],"abstract":"We formulate a scaling theory for the long-time diffusive motion in a space occluded by a high density of moving obstacles in dimensions 1, 2 and 3. Our tracers diffuse anomalously over many decades in time, before reaching a diffusive steady state with an effective diffusion constant $D_\\mathrm{eff}$, which depends on the obstacle diffusivity and density. The scaling of $D_\\mathrm{eff}$, above and below a critical regime, is characterized by two independent critical parameters: the conductivity exponent $\\mu$, also found in models with frozen obstacles, and an exponent $\\psi$, which quantifies the effect of obstacle diffusivity.","url_abs":"https://arxiv.org/abs/2011.02444v2","url_pdf":"https://arxiv.org/pdf/2011.02444v2.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":"scaling-study-of-diffusion-in-dynamic-crowded","repo_url":"https://github.com/hbendekgey/Diffusion","is_official":1,"mentioned_in_paper":0,"mentioned_in_github":1,"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}