标题： 自相似逆级联来自广义对称性 显示英文标题

标题： Self-similar inverse cascade from generalized symmetries

摘要： 我们研究了广义对称性在驱动非平衡和非线性现象中的作用，特别关注湍流系统。 虽然传统的湍流研究表明由在整个空间积分守恒量驱动的逆能级串（如三维空间中的螺旋度），但关于更高形式对称性的影响力，其守恒荷通过子空间积分定义，仍基本未被探索。 我们展示了一种新的机制，其中更高形式的对称性自然诱导出自相似的逆能级串。以具有非线性拓扑相互作用的轴子电动力学为例，我们表明其1-形式对称性相关的守恒荷通过由解析确定的标度指数表征的普适标度行为，驱动系统向大尺度相干结构演化。 我们的发现表明，更高形式的对称性可以为理解湍流系统中的非平衡现象以及相干结构的出现提供基本的组织原则。 显示英文摘要

摘要： 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.