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| Paper IPM / Physic / 6556 |
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| Abstract: | |||||
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We consider the correlation functions of two-dimensional turbulence in the
presence and absence of a three-dimensional perturbation, by means of conformal
field theory. In the presence of three-dimensional perturbation, we show that
in the strong coupling limit of a small scale random force, there is some
logarithmic factor in the correlation functions of velocity stream functions.
We show that the logarithmic conformal field theory c8,1 describes the
2D-turbulence both in the absence and in the presence
of the perturbation. We obtain the energy spectrum E(k) ∼ k−5.125
ln (k) for perturbed 2D-turbulence and E(k) ∼ k−5 ln (k) for
unperturbed turbulence. Recent numerical simulation and experimental results
confirm our prediction.
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