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Fluid turbulence is the archetypal nonlinear phenomenon and is often referred to as the unsolved problem of classical physics. However, if we use Fourier transformation to study turbulence in wavenumber space, then it becomes an example of the many-body problem as encountered in statistical mechanics, nuclear structure physics and the study of critical phenomena. This leads to the paradoxical situation that turbulence, despite its macroscopic nature, is described by the kind of mathematics encountered in quantum field theory.
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