2005
DOI: 10.1007/s10909-005-2266-3
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Superfluid 3He-B Vortex Simulations inside a Rotating Cylinder

Abstract: We study numerically vortex dynamics in superfluid 3 He-B by solving the full Biot-Savart equations inside a rotating cylinder. The initial vortex configuration seems to have an essential role whether the growth process starts or not. The growth process is, at least at the early stages of simulations, mostly governed by the reconnections with cylinder boundary. In order to see a large increase in vortex density one should go below 0.5T c in temperature, somewhat lower than what is observed in the experiments.

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Cited by 11 publications
(14 citation statements)
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“…The rationale here is that the λ functions are small compared to unity, so that a crude approximation can be obtained by neglecting λ z and λ φ in Eqs. (14) and (15). This already implies that the sign of v Lz is determined by Ω − Ω s : the vortex grows for Ω > Ω s and shrinks for Ω < Ω s .…”
Section: Asymptotic Vortex Velocity In a Non-tilted Cylindermentioning
confidence: 89%
See 2 more Smart Citations
“…The rationale here is that the λ functions are small compared to unity, so that a crude approximation can be obtained by neglecting λ z and λ φ in Eqs. (14) and (15). This already implies that the sign of v Lz is determined by Ω − Ω s : the vortex grows for Ω > Ω s and shrinks for Ω < Ω s .…”
Section: Asymptotic Vortex Velocity In a Non-tilted Cylindermentioning
confidence: 89%
“…The results are presented using the λ functions defined in Eqs. (14) and (15). The figures show some scatter especially for Ω close to Ω s that arises from inaccuracies in the numerical calculation.…”
Section: Asymptotic Vortex Velocity In a Non-tilted Cylindermentioning
confidence: 93%
See 1 more Smart Citation
“…Numerical calculations on vortex dynamics are carried out with the vortex filament model introduced by Schwarz (1988). With today's computing power, one uses Biot-Savart integration along all vortex lines, so that the superfluid velocity field from vortices is obtained from (Hänninen et al 2005) No surface pinning or even surface friction is generally included, the boundaries are assumed ideal, as indicated so far by measurements on 3 He-B in smooth-walled simple cylindrical containers. Mutual friction in the bulk superfluid is included using the equation of motion (4) for the vortex element at s(ξ, t), which moves with the velocity v L = ds/dt.…”
Section: Numerical Calculation Of Dynamic Vortex Generationmentioning
confidence: 99%
“…The essential features of the vortex front and the twisted state can be displayed by means of numerical calculations of vortex dynamics in a rotating cylinder. The simulation technique accounts fully for inter-vortex interaction and for the effect of solid walls [7]. In the initial state at t = 0 the equilibrium number of vortices is placed as quarter-loops between the bottom and the cylindrical walls.…”
Section: Numerical Simulationsmentioning
confidence: 99%