In this paper a previous equation for the evolution of vortex line density L in counterflow superfluid turbulence in rotating containers is generalized, in order to take into account the influence of the walls. This model incorporates the effects of counterflow velocity V and of angular velocity Ω of the container, and introduces corrective terms depending on δ d, δ being the intervortex spacing, of the order L-1 2, and d the diameter of the channel. The stability of the solutions for L, for several regimes of averaged counterflow velocity V and angular velocity Ω, is analyzed. Our mathematical analysis reveals that qualitative consistency allows us to reduce the four coefficients characterizing the dependence on δ d to only one additional independent coefficient, linked to the critical angular velocity Ωc needed for the appearance of vortex lines in a rotating superfluid. © 2005 The American Physical Society.
|Journal||Physical Review B - Condensed Matter and Materials Physics|
|Publication status||Published - 1 Sep 2005|