Route to vortex reconnection

Waele, A.T.A.M. de; Aarts, RM Ronald

doi:10.1103/physrevlett.72.482

Cited by 81 publications

(103 citation statements)

References 13 publications

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“…Even with these advances in flow visualization numerical simulations will continue to play a crucial role in furthering our knowledge. Indeed, building on the pioneering work of Schwarz [15], numerical simulations have always been important in the field [16][17][18][19][20][21][22][23][24][25][26], and the recent experimental progress has highlighted their importance in interpreting experimental data [27,28]. This article is concerned with verifying that the vortex reconnection procedure used in the popular vortex filament method (VFM) is robust.…”

Section: Introductionmentioning

confidence: 99%

The Sensitivity of the Vortex Filament Method to Different Reconnection Models

Baggaley

2012

J Low Temp Phys

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We present a detailed analysis on the effect of using different algorithms to model the reconnection of vortices in quantum turbulence, using the thin-filament approach. We examine differences between four main algorithms for the case of turbulence driven by a counterflow. In calculating the velocity field we use both the local induction approximation (LIA) and the full Biot-Savart integral. We show that results of Biot-Savart simulations are not sensitive to the particular reconnection method used, but LIA results are.

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Section: Introductionmentioning

confidence: 99%

The Sensitivity of the Vortex Filament Method to Different Reconnection Models

Baggaley

2012

J Low Temp Phys

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“…Prime examples [4] of dissipation by reconnection occur in astrophysical plasmas (such as solar flares [5,6] and magnetic substorms [7,8]) and sawtooth crashes in fusion devices [9], where magnetic energy is dissipated by the acceleration of nearby particles [10,11,12,13,14]. Reconnection has also been studied in liquid crystals [2], superconductors [3,15,16], cosmic strings [17], viscous [18,19,20] and Euler [21] vortices, Bose-Einstein condensates [22] and superfluids [23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38]. * The authors of this manuscript would not be studying this subject were it not for the influence and collaboration of K.R.…”

Section: Introductionmentioning

confidence: 99%

Reconnection dynamics for quantized vortices

Paoletti

Fisher

Lathrop

2010

Physica D: Nonlinear Phenomena

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By analyzing trajectories of solid hydrogen tracers in superfluid 4 He, we identify tens of thousands of individual reconnection events between quantized vortices. We characterize the dynamics by the minimum separation distance δ(t) between the two reconnecting vortices both before and after the events. Applying dimensional arguments, this separation has been predicted to behave asymptotically as δ(t) ≈ A (κ|t − t0|) 1/2 , where κ = h/m is the quantum of circulation. The major finding of the experiments and their analysis is strong support for this asymptotic form with κ as the dominant controlling feature, although there are significant event to event fluctuations. At the three-parameter level the dynamics may be about equally well-fit by two modified expressions: (a) an arbitrary power-law expression of the form δ(t) = B|t−t0| α and (b) a correction-factor expressionThe measured frequency distribution of α is peaked at the predicted value α = 0.5, although the half-height values are α = 0.35 and 0.80 and there is marked variation in all fitted quantities. Accepting (b) the amplitude A has mean values of 1.24 ± 0.01 and half height values of 0.8 and 1.6 while the c distribution is peaked close to c = 0 with a half-height range of −0.9 s −1 to 1.5 s −1 . In light of possible physical interpretations we regard the correctionfactor expression (b), which attributes the observed deviations from the predicted asymptotic form to fluctuations in the local environment and in boundary conditions, as best describing our experimental data. The observed dynamics appear statistically time-reversible, which suggests that an effective equilibrium has been established in quantum turbulence on the time scales (≤ 0.25 s) investigated. We discuss the impact of reconnection on velocity statistics in quantum turbulence and, as regards classical turbulence, we argue that forms analogous to (b) could well provide an alternative interpretation of the observed deviations from Kolmogorov scaling exponents of the longitudinal structure functions.

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“…for large R and large D. This leads to the over estimate of vortex line loss apparent for the R = 7.30, θ ≤ π/2 data in The dependence of the vortex line loss on reconnection angle can in principle be applied to determine the sound energy emitted in other reconnection geometries. However, in the case of straight line vortices, it is known that the lines tend to become more anti-parallel as they approach [17,18]. This will tend to increase the energy radiated.…”

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confidence: 99%

Sound Emission due to Superfluid Vortex Reconnections

et al. 2001

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Route to vortex reconnection

Cited by 81 publications

References 13 publications

The Sensitivity of the Vortex Filament Method to Different Reconnection Models

The Sensitivity of the Vortex Filament Method to Different Reconnection Models

Reconnection dynamics for quantized vortices

Sound Emission due to Superfluid Vortex Reconnections

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