An Effective Theory of Superfluid Turbulence from Local Scale Invariance

Details An Effective Theory of Superfluid Turbulence from Local Scale Invariance An Effective Theory of Superfluid Turbulence from Local Scale Invariance

2011-05-20

arxiv.org/abs/1105.4056v1

Physics

Condensed Matter

Other Condensed Matter

10 pages. LaTeX

Scientific paper

An effective locally scale invariant model is constructed using Weyl's method starting from a free Schroedinger equation. The model requires additional gauge and gravitational degrees of freedom. It is suggested that this scale invariant model is an effective theory for superfluid turbulence. The additional degrees of freedom introduced can then be identified with filament excitations or zeros of a Gross-Pitaevski equation which are used to describe superfluid turbulence. Qualitative estimates of the way filaments separate after collision are made which agree with observations.

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