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arXiv 2501.19367cond-mat.stat-mechhep-thnlin.CDphysics.flu-dyn
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湍流:一种非平衡场论

Turbulence: A Nonequilibrium Field Theory

Mahendra Verma

AI总结:

本文综述湍流场论研究成果,对比平衡与非平衡场论在湍流建模中的应用,介绍粘度重整化等关键结论及方法的推广应用,还涉及弱湍流与间歇性内容。

摘要:

量子场论与统计场论的工具已被成功应用于湍流研究。本文综述了湍流场论的核心成果。平衡场论用于描述经热平衡化的谱截断欧拉方程,其中满足能量均分的傅里叶模产生的能通量为零。与之相对,非平衡场论被用于建模低粘度的流体动力学湍流(HDT)。在HDT中,粘度重整化会得到依赖于波数的粘度和能谱,场论计算也得出HDT存在非零能通量。这些场论计算方法已被推广至其他系统,如被动标量和磁流体力学。本综述涵盖上述内容,并简要介绍了弱湍流和间歇性。

英文摘要:

Tools of quantum and statistical field theories have been successfully ported to turbulence. Here, we review the key results of turbulence field theory. \textit{Equilibrium field theory} describes thermalized spectrally-truncated Euler equation, where the equipartitioned Fourier modes generate zero energy flux. In contrast, \textit{nonequilibrium field theory} is employed for modelling of hydrodynamic turbulence (HDT), which has small viscosity. In HDT, viscosity renormalization yields wavenumber-dependent viscosity and energy spectrum. Field theory calculations also yields nonzero energy flux for HDT. These field theory computations have been generalized to other systems, e.g., passive scalar and magnetohydrodynamics. In this review, I cover these aspects, along with a brief coverage of weak turbulence and intermittency.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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