Orbital Hydrostatics and Hydrodynamics of 3He-A

  • Tin-Lun Ho


The conditions for hydrostatic equilibrium in 3He-A and the equations that describe the non-linear orbital hydrodynamics are given.


Entropy Production Local Equilibrium Molecular Field Hydrostatic Equilibrium Time Reversal Symmetry 
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  1. (1).
    This is equivalent to the tensor \( {\Omega _{ij}} = - 2m/\hbar v{}_{si}{\ell _j} + {(\ell \times {\nabla _i}\ell )_j} \) in Mermin and Ho, Phys. Rev. Lett. 36, 594 (1976).ADSCrossRefGoogle Scholar
  2. (2).
    Equation (6) in Mermin and Ho, ibid.Google Scholar
  3. (3).
    See de-Gennes, “The Physics of Liquid Crystals,” (Clarendon Press, Oxford, 1974), p. 63. On symmetry grounds, there should also be a surface term \( {\nabla _i}{\ell _i}{\nabla _j}{\ell _j} - {\nabla _i}{\ell _j}{\nabla _j}{\ell _i} \). It is neglected because it has no effects on determining the equilibrium texture and the dynamic molecular field.Google Scholar
  4. (4).
    See de-Gennes, ibid, p. 68 and also footnote (3).Google Scholar
  5. (5).
    The effect of pn has been overlooked by Buchholtz and Fetter, preprint, Stanford University ITP-542.Google Scholar
  6. (6).
    The ζ terms in (27) are first discussed by Mario Liu, Phys. Rev. B 13, 4174 (1976).CrossRefGoogle Scholar
  7. (7).
    \( \beta = {L_O}/{\mu ^2} + L_0^2,{\beta _1} = \mu /{\mu ^2} + L_0^2 \) where μ and L0 are the damping and intrinsic angular momentum coefficients introduced in Cross and Anderson, Proceedings of LT14, Vol. 1 (1975).Google Scholar
  8. (8).
    H. E. Hall and J. R. Hook; J. M. Delrieu; D. Lhuillier, C.-R. Hu and W. M. Saslow, preprints and to be published.Google Scholar

Copyright information

© Plenum Press, New York 1977

Authors and Affiliations

  • Tin-Lun Ho
    • 1
  1. 1.Laboratory of Atomic and Solid State Physics and Materials Science CenterCornell UniversityIthacaUSA

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