Local induction approximation in the theory of superfluid turbulence
M. V. Nedoboiko
TL;DR
This paper analyzes the local induction approximation in superfluid turbulence using renormalization group methods, providing an exact statistical solution and addressing marginal terms in the RG approach.
Contribution
It offers the first exact statistical solution of the LIA equation and examines the role of marginal terms in the RG analysis of vortex dynamics.
Findings
Exact statistical solution of the LIA equation presented.
Insights into the role of marginal terms in RG analysis.
Enhanced understanding of vortex dynamics in superfluid turbulence.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum, superfluid, helium dynamics · Fluid Dynamics and Turbulent Flows · Meteorological Phenomena and Simulations