# ALBERT

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• 1
Electronic Resource
Springer
Journal of low temperature physics 40 (1980), S. 371-390
ISSN: 1573-7357
Source: Springer Online Journal Archives 1860-2000
Topics: Physics
Notes: The current-induced textural transion in a slab of 3He-A for temperatures near the critical temperature is studied numerically in the nonlinear regime above the threshold. The thick-slab, dipole-locked case and the thin-slab, dipoleunlocked case give second-order and first-order transitions, respectively. The nonplanar textures which should occur beyond the transition are illustrated in a number of ways, and pertinent data are obtained for verifying these transitions by sound attenuation and superfluid density measurements.
Type of Medium: Electronic Resource
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• 2
Electronic Resource
Springer
Journal of low temperature physics 32 (1978), S. 301-321
ISSN: 1573-7357
Source: Springer Online Journal Archives 1860-2000
Topics: Physics
Notes: Exact solutions are found of three textures for superfluid helium-3 in the A phase: two cylindrically symmetric textures in half-spaces each bearing a point singularity on the surface (which are categorized as the circular and hyperbolic boojum textures by Mermin), and a vortex sheet texture in a slab geometry, which is singular on two straight lines, one on each wall. The dipole interaction between the spin axis % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqaqpepeea0xe9qqVa0l% b9peea0lb9sq-JfrVkFHe9peea0dXdarVe0Fb9pgea0xa9pue9Fve9% Ffc8meGabaqaciGacaGaaeqabaWaaeaaeaaakeaaieqaceWFKbGbaK% aaaaa!387B!${\hat d}$ and the orbital axis Î is taken into account to leading order by letting % MathType!MTEF!2!1!+-% feaafeart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqaqpepeea0xe9qqVa0l% b9peea0lb9sq-JfrVkFHe9peea0dXdarVe0Fb9pgea0xa9pue9Fve9% Ffc8meGabaqaciGacaGaaeqabaWaaeaaeaaakeaaieqaceWFKbGbaK% aaaaa!387B!${\hat d}$ = Î, assuming temperature T is near the transition temperature T c, and the container size is ≫10\s-3 cm (the dipole characteristic length). Guided by these exact solutions, we then construct an approximate solution for a coreless vortex texture, which was first introduced by Anderson and Toulouse and later modified by Mermin in order for it to fit between two parallel surfaces. It was proposed by Anderson and Toulouse that such coreless vortex textures should replace usual vortex lines in mediating the decay of superfluidity and in transferring angular momentum from the container wall to the superfluid 3He-A. This is found to be true here only if D158.0(ξR)1/2, where D is the thickness of the slab geometry assumed R is the lateral size of this geometry, and ξ is the core size of a usual vortex line in 3He-A. This analysis is good for R ≫ D, but it should remain semiquantitatively valid down to R ~(2—3)D.
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