作为热力学组织的相干性：迈向非平衡湍流理论
Coherence as Thermodynamic Organization: Toward a Non-Equilibrium Turbulence Theory
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中文总结 AI 辅助
研究流体湍流难题，通过重整化纳维-斯托克斯方程在非平衡统计物理与湍流相干结构间建桥梁，证明湍流相干性是能量通量不平衡的热力学响应，引入序参量为非平衡理论奠基，明确流动分辨率。
中文摘要 AI 辅助
自19世纪末的基础研究以来，流体湍流一直是经典物理学中一个深刻的、未解决的挑战。这种长期存在的困难很大程度上源于非平衡湍流，其中缺乏宏观相干结构的统一物理框架阻碍了预测性流动建模。在此，我们通过重整化的纳维-斯托克斯方程在非平衡统计物理和湍流相干结构之间建立了一个基础桥梁。我们证明，所有形式的湍流相干性从根本上说是由宏观能量通量不平衡所规定的普遍热力学响应。根据对分岔的拓扑访问，这些形成表现为瞬态调整（类似于久保的近平衡涨落）或自主的、变革性状态（类似于普里戈金的远离平衡耗散结构）。通过引入一个可计算的、有效的热力学序参量（$\Pi$），该范式为非平衡理论建立了一个严格的基础，能够明确识别连续驱动的耗散连续体系统中必要的流动分辨率。
英文摘要
Since the foundational studies in the late nineteenth century, fluid turbulence has stood as a profound, unsolved challenge in classical physics. Much of this enduring difficulty stems from non-equilibrium turbulence, where the lack of a unifying physical framework for macroscopic coherent structures has hampered predictive flow modeling. Here, we establish a foundational bridge between non-equilibrium statistical physics and turbulent coherent structures through the renormalized Navier-Stokes equations. We demonstrate that all forms of turbulent coherence are fundamentally universal thermodynamic responses mandated by macroscopic energy throughput imbalances. Depending on topological access to bifurcations, these formations manifest either as transient adjustments (analogous to Kubo's near-equilibrium fluctuations) or as autonomous, transformative states (mirroring Prigogine's far-from-equilibrium dissipative structures). By introducing a computable, effective thermodynamic order parameter ($Π$), this paradigm establishes a rigorous foundation for non-equilibrium theory, enabling unequivocal identification of necessary flow resolution in continuously driven, dissipative continuum systems.
