Hydrodynamic modes of superfluid3He at higher frequencies

Grabinski, Michael; Liu, Mario

doi:10.1007/bf00686103

Cited by 55 publications

(8 citation statements)

References 16 publications

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“…This term is very tiny in superfluid 3 He and is of the order $cm/s. 31,32) The sound propagations in A 1 phase were also studied theoretically by Nagai 33) who found the velocity of SEW in agreement with Liu.…”

Section: Hydrodynamicsmentioning

confidence: 74%

“…32) In the derivation, it was assumed thatĥ h andl l vectors did not couple to the wave propagation and have no effects on its attenuation. This condition was well satisfied in our cylindrical cell (with the magnetic field directionĥ h parallel to its axis) as the strong magnetic field aligns the spin vectorf f along the field and clampsl l into the plane perpendicular to the magnetic field (which was applied parallel to the propagation direction).…”

Section: Hydrodynamicsmentioning

confidence: 99%

“…This condition was well satisfied in our cylindrical cell (with the magnetic field directionĥ h parallel to its axis) as the strong magnetic field aligns the spin vectorf f along the field and clampsl l into the plane perpendicular to the magnetic field (which was applied parallel to the propagation direction). In the low frequency limit, the calculated attenuation of the spin-entropy wave mode may be written as 32) …”

Section: Hydrodynamicsmentioning

confidence: 99%

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Spin Polarized Superfluid³He A₁

Kojima

Ishimoto

2008

J. Phys. Soc. Jpn.

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Under applied magnetic field, the originally single superfluid 3 He transition near 3 mK in zero field splits into two transitions between which a new A 1 phase emerges. The two second order transitions are marked by abrupt changes in viscosity, zero sound attenuation and nuclear magnetic resonance. To date, the maximum magnetic field for producing A 1 phase is 15 T. The A 1 phase has been identified with a spin-polarized (ferromagnetic) superfluid system which breaks the relative symmetry between spin, orbit and gauge spaces. A superfluid mass current in A 1 is simultaneously a spin current resulting in the propagation of spin-entropy wave. Experiments with spin-entropy wave provide measurements of anisotropic superfluid density and strong coupling parameters, spin diffusion coefficient and texture transformations. Owing to the spin-polarized nature, superflows may be generated by applied magnetic field gradients and measured from the induced magnetic fountain pressure. The mechanical spin density detector is developed to measure the spin relaxation in A 1 phase. The observed unexpected temperature dependence of the spin relaxation time gives evidence that the A 1 phase contains a small amount of the predicted minority spin condensate from dipolar interaction energy.KEYWORDS: spin-polarized system, superfluid 3 He, magnetic fountain effect, spin pump, second sound, high magnetic field

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Section: Hydrodynamicsmentioning

confidence: 74%

Section: Hydrodynamicsmentioning

confidence: 99%

Section: Hydrodynamicsmentioning

confidence: 99%

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Spin Polarized Superfluid³He A₁

Kojima

Ishimoto

2008

J. Phys. Soc. Jpn.

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“…(30) and (32) are the result of Boltzmann equation used to calculate spin diffusion. Now returning to spin diffusion equation (Eq.…”

Section: Application Of Boltzmann Equationmentioning

confidence: 99%

“…The first measurement of the transverse component of the spin diffusion tensor of B-phase at low temperatures is available [13]. In the following, steps taken to measure spin diffusion of A 1 -phase are pointed out: the attenuation of spin-entropy wave in A 1 -phase of superfluid 3 He was measured and investigated [3,6,22,32,33]. Theoretically, the attenuation of spin-entropy depends on spin diffusion coefficient and other dissipative coefficients.…”

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confidence: 99%

Application of Boltzmann Equation on Spin Diffusion of Ferromagnetic Superfluid 3He: Near Critical Temperature

Afzali

2012

J Stat Phys

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Different scattering processes of quasiparticles containing a binary process, a coalescence process and a decay process in transition probabilities are taken into account. In the meantime, interaction between Bogoliubov quasiparticles as well as that between normal and superfluid components (spin up-spin down quasiparticles) of ferromagnetic superfluid 3 He-A 1 are considered. Pfitzner procedure is used in the calculation of triplet and singlet quasiparticle scattering amplitude existing in transition probabilities of the collision integral of standard Boltzmann equation at melting pressure. Pfitzner procedure is extended beyond s-p approximation by adding higher angular momentum components. Then, using the results of Boltzmann equation and considering smallness of the gap close to T c↑ , the change of the spin diffusion coefficients tensor of the A 1 -phase of superfluid 3 He close to critical temperature and melting pressure is calculated. Temperature dependence of the spin diffusion coefficient change, i.e., δD xyxy /D = (3/2)(δD xzxz /D) , is −0.71(1 − (T /T c↑ )) 1/2 . It is also shown that interaction between normal and Bogoliubov quasiparticles (normalsuperfluid components interaction) is very important to transport properties such as spin diffusion close to critical temperature. Furthermore, using s-p approximation, the prefactor of δD xyxy /D is plotted in terms of pressure; hence, the pressure dependence of δD xyxy /D is also determined.

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