AI 中文总结
研究基于威沙特系综探讨相关矩阵最大特征值性质，提出其作为检测混沌和自旋系统相变的经验序参量，类比其导数与热力学响应函数，虽不一定与相变理论临界发散相关，但为相关研究提供新视角。
AI 中文摘要
我们在威沙特系综框架下研究相关矩阵最大特征值的性质。在本工作中，我们提出将最大特征值作为检测混沌和自旋系统相变的有效经验序参量，类比其导数与由自由能导出的热力学响应函数，不过不一定与相变理论中最初观察到的临界发散相关。
英文摘要
We investigate the properties of the largest eigenvalue of correlation matrices within the framework of Wishart ensembles. In this work, we propose the largest eigenvalue as an effective empirical order parameter for detecting phase transitions in chaotic and spin systems, drawing an analogy between its derivatives and thermodynamic response functions derived from the free energy, however not necessarily linked to a critical divergence originally observed in the context of phase transitions theory.
Comments23 pages, 4 figures
