{"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/microstability-of-b-sim-1-tokamak-equilibria","title":"Microstability of $β\\sim 1$ tokamak equilibria","arxiv_id":"2208.05435","date":"2022-08-10","proceeding":null,"authors":["Rahul Gaur","Ian G. Abel","David Dickinson","William D. Dorland"],"abstract":"High-power-density tokamaks offer a potential solution to design cost-effective fusion devices. One way to achieve high power density is to operate at a high $\\beta$ value (the ratio of thermal to magnetic pressure), i.e., $\\beta \\sim 1$. However, a $\\beta \\sim 1$ state may be unstable to various pressure- and current-driven instabilities or have unfavorable microstability properties. To explore these possibilities, we generate $\\beta \\sim 1$ equilibria and investigate their stability. Initially, we study an analytical technique that was used in the past to generate $\\beta \\sim 1$ equilibria and outline its limitations. Hence, we demonstrate the generation of high-$\\beta$ equilibria with the computer code $\\texttt{VMEC}$. We then analyze these equilibria to determine their stability against the infinite-$n$ ideal ballooning mode. We follow that by engaging in a detailed microstability study, beginning with assessments of electrostatic ITG and TEM instabilities. We observe interesting behavior for the high-$\\beta$ equilibria -- stabilization of these modes through two distinct mechanisms. Finally, we perform electromagnetic gyrokinetic simulations and again observe stabilizing trends in the equilibria at high $\\beta$. These trends are different from their lower $\\beta$ counterparts and offer an alternative, potentially favorable regime of tokamak operation.","url_abs":"https://arxiv.org/abs/2208.05435v1","url_pdf":"https://arxiv.org/pdf/2208.05435v1.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":"microstability-of-b-sim-1-tokamak-equilibria","repo_url":"https://github.com/rahulgaur104/ideal-ballooning-solver","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null},{"paper_slug":"microstability-of-b-sim-1-tokamak-equilibria","repo_url":"https://github.com/rahulgaur104/vmec2gk","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"none","reach":null},{"paper_slug":"microstability-of-b-sim-1-tokamak-equilibria","repo_url":"https://zenodo.org/record/4461680","is_official":0,"mentioned_in_paper":0,"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}