Alternative Vinen equation and its extension to rotating counterflow superfluid turbulence

Abstract

Two alternative Vinen's evolution equations for the vortex line density L in counterflow superfluid turbulence are physically admissible and lead to analogous results in steady states. In Jou and Mongiovi [Phys. Rev. B 69 (2004) 094513] the most used of them was generalized to counterflow superfluid turbulence in rotating containers. Here, the analogous generalization for the alternative Vinen equation is proposed. Both generalized Vinen's equations are compared with the experimental results, not only in steady states but also in some unsteady situations. From this analysis follows that the stationary solutions of the alternative Vinen equation fit better the experimental data and that its unsteady solutions tend faster to the corresponding final steady-state values than the solutions of the usual Vinen's equation.