Fractal dimension of superfluid turbulence |
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Authors: | Kivotides D Barenghi C F Samuels D C |
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Affiliation: | Department of Mathematics, University of Newcastle, Newcastle NE1 7RU, United Kingdom. |
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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. |
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