Local induction approximation in the theory of superfluid turbulence

M. V. Nedoboiko

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arXiv · cond-mat/0302144

Local induction approximation in the theory of superfluid turbulence

M. V. Nedoboiko

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Abstract

The local induction approximation (LIA) of the Biot-Savart law is often used for numerical and analytical investigations of vortex dynamics (in particular in the theory of superfluid turbulence). In this paper, using renormalization group (RG) methods, some features of the LIA is considered. The exact statistical solution of the LIA equation is presented. The problem of "marginal" terms, appearing at the Wilson's approach to the RG-procedure, is concerned.

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M. V. Nedoboiko. 2003-02-07. Local induction approximation in the theory of superfluid turbulence. https://arxiv.org/abs/cond-mat/0302144

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