233 research outputs found
Quantum Turbulence in a Trapped Bose-Einstein Condensate
We study quantum turbulence in trapped Bose-Einstein condensates by
numerically solving the Gross-Pitaevskii equation. Combining rotations around
two axes, we successfully induce quantum turbulent state in which quantized
vortices are not crystallized but tangled. The obtained spectrum of the
incompressible kinetic energy is consistent with the Kolmogorov law, the most
important statistical law in turbulence.Comment: 4 pages, 4 figures, Physical Review A 76, 045603 (2007
Kolmogorov spectrum of superfluid turbulence: numerical analysis of the Gross-Pitaevskii equation with the small scale dissipation
The energy spectrum of superfluid turbulence is studied numerically by
solving the Gross-Pitaevskii equation. We introduce the dissipation term which
works only in the scale smaller than the healing length, to remove short
wavelength excitations which may hinder the cascade process of quantized
vortices in the inertial range. The obtained energy spectrum is consistent with
the Kolmogorov law.Comment: 4 pages, 4 figures and 1 table. Submitted to American Journal of
Physic
Derivation of the transverse force on a moving vortex in a superfluid
We describe an exact derivation of the total nondissipative transverse force
acting on a quantized vortex moving in a uniform background. The derivation is
valid for neutral boson or fermion superfluids, provided the order parameter is
a complex scalar quantity. The force is determined by the one-particle density
matrix far away from the vortex core, and is found to be the Magnus force
proportional to the superfluid density.Comment: Latex, 6 page
Thermal dissipation in quantum turbulence
The microscopic mechanism of thermal dissipation in quantum turbulence has
been numerically studied by solving the coupled system involving the
Gross-Pitaevskii equation and the Bogoliubov-de Gennes equation. At low
temperatures, the obtained dissipation does not work at scales greater than the
vortex core size. However, as the temperature increases, dissipation works at
large scales and it affects the vortex dynamics. We successfully obtained the
mutual friction coefficients of the vortex dynamics as functions of
temperature, which can be applied to the vortex dynamics in dilute
Bose-Einstein condensates.Comment: 4 pages, 6 figures, submitted to AP
The approach to vortex reconnection
We present numerical solutions of the Gross--Pitaevskii equation
corresponding to reconnecting vortex lines. We determine the separation of
vortices as a function of time during the approach to reconnection, and study
the formation of pyramidal vortex structures. Results are compared with
analytical work and numerical studies based on the vortex filament method.Comment: 11 pages, 9 figure
Specific heat of the Kelvin modes in low temperature superfluid turbulence
It is pointed out that the specific heat of helical vortex line excitations,
in low temperature superfluid turbulence experiments carried out in helium II,
can be of the same order as the specific heat of the phononic quasiparticles.
The ratio of Kelvin mode and phonon specific heats scales with L_0 T^{-5/2},
where L_0 represents the smoothed line length per volume within the vortex
tangle, such that the contribution of the vortex mode specific heat should be
observable for L_0 = 10^6-10^8 cm^{-2}, and at temperatures which are of order
1-10 mK.Comment: 3 pages, 1 figur
Tree method for quantum vortex dynamics
We present a numerical method to compute the evolution of vortex filaments in
superfluid helium. The method is based on a tree algorithm which considerably
speeds up the calculation of Biot-Savart integrals. We show that the
computational cost scales as Nlog{(N) rather than N squared, where is the
number of discretization points. We test the method and its properties for a
variety of vortex configurations, ranging from simple vortex rings to a
counterflow vortex tangle, and compare results against the Local Induction
Approximation and the exact Biot-Savart law.Comment: 12 pages, 10 figure
Vortex mass in a superfluid at low frequencies
An inertial mass of a vortex can be calculated by driving it round in a
circle with a steadily revolving pinning potential. We show that in the low
frequency limit this gives precisely the same formula that was used by Baym and
Chandler, but find that the result is not unique and depends on the force field
used to cause the acceleration. We apply this method to the Gross-Pitaevskii
model, and derive a simple formula for the vortex mass. We study both the long
range and short range properties of the solution. We agree with earlier results
that the non-zero compressibility leads to a divergent mass. From the
short-range behavior of the solution we find that the mass is sensitive to the
form of the pinning potential, and diverges logarithmically when the radius of
this potential tends to zero.Comment: 4 page
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