量子多体框架用于被动标量湍流
Quantum many-body framework for passive-scalar turbulence
- State Key Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences（中国科学院力学研究所非线性力学国家重点实验室）
- School of Engineering Sciences, University of Chinese Academy of Sciences（中国科学院大学工程科学学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
该研究提出非厄米玻色子框架，统一被动标量湍流的等时与多时间统计，揭示观测时间序列如何传播空间间歇性结构。
AI中文摘要：
空间结构如何体现在多时间关联中是湍流的一个基本问题。我们发展了一个非厄米玻色子框架，该框架在统一的算符表示中统一了等时反常统计及其时间传播。一个连续的Wegner流在扩展的波-频率空间中重组随机模式耦合。将该框架应用于Taylor-Kraichnan模型，该框架恢复了已建立的等时层级，并通过作用于逐渐缩小的活跃场集合上的传播子构建多时间贡献。这种构造将均匀输运与内在相对动力学分离，并展示了高阶等时态如何在仅作用于保持动态活跃的场的生成元下演化。在各向同性径向闭合内，我们推导出一个显式的四阶双时间零模标度函数，该函数描述了相对扩散如何逐渐削弱对初始分离的敏感性。因此，该框架通过识别观测时间序列如何决定等时反常结构的传播，将空间间歇性与时间演化联系起来。
英文摘要：
How spatial structures manifest in multi-time correlations is a fundamental question in turbulence. We develop a non-Hermitian bosonic framework that unifies equal-time anomalous statistics and their temporal propagation within a common operator representation. A continuous Wegner flow reorganizes stochastic mode couplings in an extended wave-frequency space. Applied to the Taylor-Kraichnan model, the framework recovers the established equal-time hierarchy and constructs multi-time contributions through propagators acting on successively smaller sets of active fields. This construction separates uniform transport from intrinsic relative dynamics and shows how a higher-order equal-time state evolves under a generator acting only on the fields that remain dynamically active. Within an isotropic radial closure, we derive an explicit fourth-order two-time zero mode scaling function that describe how relative dispersion progressively weakens sensitivity to the initial separation. The framework thus connects spatial intermittency to temporal evolution by identifying how the sequence of observation times determines the propagation of equal-time anomalous structures.
