Local induction approximation in the theory of superfluid turbulence

Details Local induction approximation in the theory of superfluid turbulence Local induction approximation in the theory of superfluid turbulence

2003-02-07

arxiv.org/abs/cond-mat/0302144v1

Physics

Condensed Matter

6 pages, 0 figures

Scientific paper

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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