Self-similar inverse cascade from generalized symmetries
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915800527405056 |
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| author | Hirono, Yuji Kamada, Kohei Yamamoto, Naoki Yokokura, Ryo |
| author_facet | Hirono, Yuji Kamada, Kohei Yamamoto, Naoki Yokokura, Ryo |
| contents | We investigate the role of generalized symmetries in driving non-equilibrium and non-linear phenomena, specifically focusing on turbulent systems. While conventional turbulence studies have revealed inverse cascades driven by conserved quantities integrated over the entire space, such as helicity in three spatial dimensions, the influence of higher-form symmetries, whose conserved charges are defined by integration over subspaces, remains largely unexplored. We demonstrate a novel mechanism where higher-form symmetries naturally induce a self-similar inverse cascade. Taking axion electrodynamics with non-linear topological interaction as a paradigmatic example, we show that the conserved charge associated with its 1-form symmetry drives the system toward large-scale coherent structures through a universal scaling behavior characterized by analytically determined scaling exponents. Our findings suggest that higher-form symmetries can provide a fundamental organizing principle for understanding non-equilibrium phenomena and the emergence of coherent structures in turbulent systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07781 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-similar inverse cascade from generalized symmetries Hirono, Yuji Kamada, Kohei Yamamoto, Naoki Yokokura, Ryo High Energy Physics - Theory Mesoscale and Nanoscale Physics High Energy Physics - Phenomenology Chaotic Dynamics Nuclear Theory We investigate the role of generalized symmetries in driving non-equilibrium and non-linear phenomena, specifically focusing on turbulent systems. While conventional turbulence studies have revealed inverse cascades driven by conserved quantities integrated over the entire space, such as helicity in three spatial dimensions, the influence of higher-form symmetries, whose conserved charges are defined by integration over subspaces, remains largely unexplored. We demonstrate a novel mechanism where higher-form symmetries naturally induce a self-similar inverse cascade. Taking axion electrodynamics with non-linear topological interaction as a paradigmatic example, we show that the conserved charge associated with its 1-form symmetry drives the system toward large-scale coherent structures through a universal scaling behavior characterized by analytically determined scaling exponents. Our findings suggest that higher-form symmetries can provide a fundamental organizing principle for understanding non-equilibrium phenomena and the emergence of coherent structures in turbulent systems. |
| title | Self-similar inverse cascade from generalized symmetries |
| topic | High Energy Physics - Theory Mesoscale and Nanoscale Physics High Energy Physics - Phenomenology Chaotic Dynamics Nuclear Theory |
| url | https://arxiv.org/abs/2501.07781 |