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Fractal dimension of superfluid turbulence
D Kivotides1, C F Barenghi, D C Samuels
1Department of Mathematics, University of Newcastle, Newcastle NE1 7RU, United Kingdom.
Physical Review Letters
|October 3, 2001
Abstract:
Superfluid turbulence consists of a disordered tangle of quantized vortex filaments which interact with each other and with the normal fluid. We develop a kinematic model of normal-fluid turbulence to study superfluid vortex tangles at finite temperatures and show by numerical simulation that the system of filaments has a fractal dimension larger than one. We find that the fractal dimension is directly related to the vortex-line density and is independent of temperature over a wide range.