title: Fractal dimension of superfluid turbulence.
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.
authors.affiliation: Department of Mathematics, University of Newcastle, Newcastle NE1 7RU, United Kingdom.
authors.forename: D
authors.initials: D
authors.lastname: Kivotides
authors.forename: C F
authors.initials: CF
authors.lastname: Barenghi
authors.forename: D C
authors.initials: DC
authors.lastname: Samuels