Multiplicative noise in the Vinen equation for turbulent superfluidHe4

Abstract
We have studied the effects of multiplicative noise in the counterflow velocity on the Vinen phenomenological description of vortex-line turbulence in superfluid helium using the Fokker-Planck equation. The principal result is that the noise pushes the critical velocity for the onset of turbulence toward higher values. We discuss a noise-induced phase transition which is not likely to be physically observable in turbulence experiments.