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Turbulence: A Nonequilibrium Field Theory
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Turbulence: A Nonequilibrium Field Theory
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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.
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Cited by 1 Pith paper
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An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking
Isotropic turbulence is cast as the SO(3) Georgi–Glashow model with L=r×u as gauge connection and ur as Higgs, so worms are BPS monopoles and the cascade sits in a massless U(1) sector.
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