SOLUTIONS OF SEVERAL HE-3-A TEXTURES BEARING SURFACE SINGULARITIES

被引:6
作者
HU, CR
HAM, TE
SASLOW, WM
机构
[1] Department of Physics, Texas A and M University, College Station, Texas
关键词
D O I
10.1007/BF00116917
中图分类号
O59 [应用物理学];
学科分类号
摘要
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 {Mathematical expression} and the orbital axis Î is taken into account to leading order by letting {Mathematical expression} = Î, assuming temperature T is near the transition temperature Tc, and the container size is ≫10s-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. © 1978 Plenum Publishing Corporation.
引用
收藏
页码:301 / 321
页数:21
相关论文
共 14 条
  • [1] PHASE SLIPPAGE WITHOUT VORTEX CORES - VORTEX TEXTURES IN SUPERFLUID HE-3
    ANDERSON, PW
    TOULOUSE, G
    [J]. PHYSICAL REVIEW LETTERS, 1977, 38 (09) : 508 - 511
  • [2] STABILITY OF SUPERFLOW IN (HE-A)-HE-3
    BHATTACHARYYA, P
    HO, TL
    MERMIN, ND
    [J]. PHYSICAL REVIEW LETTERS, 1977, 39 (20) : 1290 - 1293
  • [3] BRINKMAN WF, PREPRINT
  • [4] HU CH, UNPUBLISHED
  • [5] HYDRODYNAMICS OF HE-3-A WITH ARBITRARY TEXTURES
    HU, CR
    SASLOW, WM
    [J]. PHYSICAL REVIEW LETTERS, 1977, 38 (11) : 605 - 609
  • [6] HU CR, 1977, QUANTUM FLUIDS SOLID, P105
  • [7] THEORETICAL DESCRIPTION OF NEW PHASES OF LIQUID-HE-3
    LEGGETT, AJ
    [J]. REVIEWS OF MODERN PHYSICS, 1975, 47 (02) : 331 - 414
  • [8] MARTIR MH, UNPUBLISHED
  • [9] Mermin N.D., 1977, QUANTUM FLUIDS SOLID, P3
  • [10] GAMES TO PLAY WITH HE-3-A
    MERMIN, ND
    [J]. PHYSICA B & C, 1977, 90 (01): : 1 - 10