相分离谱中的隐藏振幅与动力学信息
Hidden amplitude and dynamical information in phase-separation spectra
- School of Physics and Astronomy, Shanghai Jiao Tong University（上海交通大学物理与天文学院）
- Advanced Materials Thrust, Function Hub, The Hong Kong University of Science and Technology (Guangzhou)（香港科技大学（广州）功能枢纽先进材料组）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本研究通过三个二维相分离模型揭示，逐帧归一化谱虽隐藏振幅信息，但时间谱历史能捕捉其动力学后果，并将分类准确率提升约4-6个百分点。
AI中文摘要：
逐帧方差归一化会从观测中移除波动振幅，但不会从生成后续模式的动力学中移除该振幅。因此，当前的归一化谱并不必然决定其自身的未来。我们在三个二维相分离模型中研究这一效应，这些模型分别改变输运、添加活性驱动或抑制大尺度分离。对于成对的初始场，其归一化谱在线性区域内的演化是相同的。恢复模型提供了一个精确的示例：当两个方程应用于同一场时，阻尼并不直接改变归一化谱的演化方式。然而，它确实改变了隐藏振幅，从而改变了后续的非线性形态。一个精确的比较将改变方程的即时效应与通过早期演化达到不同状态的效应区分开来。它还揭示了在迁移率模型和活性模型中这些效应之间的强烈抵消。作为实际测试，谱历史在几个后续观测窗口中将分类准确率提高了约4至6个百分点，尽管增益取决于淬火深度和谱构建方式。因此，时间谱可以揭示每个单独归一化帧中缺失的信息所导致的动力学后果。
英文摘要：
Framewise variance normalization removes fluctuation amplitude from an observation, but not from the dynamics that generate later patterns. The current normalized spectrum therefore need not determine its own future. We study this effect in three two-dimensional phase-separation models that change transport, add active driving, or suppress large-scale separation. For paired initial fields, their normalized spectra evolve identically in the linear regime. The restoring model provides an exact example: damping does not directly change how the normalized spectrum evolves when both equations are applied to the same field. It nevertheless changes the hidden amplitude, which alters the later nonlinear shape. An exact comparison separates the immediate effect of changing the equation from the effect of reaching a different state through earlier evolution. It also reveals strong cancellation between these effects in the mobility and active models. As a practical test, spectral histories improve classification by about 4-6 percentage points at several later observation windows, although the gain depends on quench depth and spectral construction. Temporal spectra can therefore reveal dynamical consequences of information absent from every individual normalized frame.
