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RESEARCH PRODUCT
Superfluid turbulence in rotating containers: Phenomenological description of the influence of the wall
David JouMaria Stella Mongiovìsubject
PhysicsSuperfluidityHelium-4Condensed matter physicsTurbulencevortex line densityqualitative consistencyPhenomenological modelOrder (ring theory)Angular velocityCondensed Matter PhysicsOmegaElectronic Optical and Magnetic MaterialsVortexdescription
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 {omega} of the container, and introduces corrective terms depending on {delta}/d, {delta} being the intervortex spacing, of the order L{sup -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 {omega}, is analyzed. Our mathematical analysis reveals that qualitative consistency allows us to reduce the four coefficients characterizing the dependence on {delta}/d to only one additional independent coefficient, linked to the critical angular velocity {omega}{sub c} needed for the appearance of vortex lines in a rotating superfluid.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-09-23 | Physical Review B |