Symposium on Universal Features of Turbulence: Warwick, December 2005. An Introduction to Quantum Turbulence. Joe Vinen. School of Physics and Astronomy University of Birmingham. General introductory review : Vinen & Niemela: J Low Temp Physics 128 , 167 (2002) .
Symposium on Universal Features of Turbulence: Warwick, December 2005
An Introduction to Quantum Turbulence
School of Physics and Astronomy
University of Birmingham
General introductory review: Vinen & Niemela: J Low Temp Physics 128, 167 (2002)
(Consequencies of Bose or BCS condensation.)
round a core of radius equal to the coherence length
( ~0.05 nm for 4He; ~80nm for3He-B; larger for Bose gases).
or in appropriate cases the local induction approximation (LIA)
(+ a transverse component)
This force causes the vortex to move relative to the local superfluid velocity in accord with to the classical Magnus effect.
A useful dimensionless parameter is .
If (4He) motion of vortex is only weakly perturbed by mutual friction..
If (3He-B at high temperatures) motion is strongly perturbed.
Also seen in later work on flow through small apertures by Varoquaux et al
indistinguishable from that above the superfluid transition
L=vortex line density
(-1acts as a kind of Reynolds number)
Tsubota et al