Quasiparticle relaxation rate and shear viscosity of superfluid -A1 at low temperatures

Shahzamanian, M. A.; Afzali, R.

doi:10.1016/j.physb.2003.11.078

Cited by 8 publications

(16 citation statements)

References 13 publications

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“…Independent theoretical studies of the shear viscosity in the A 1 phase are in agreement with the experiments. 56,57) An independent shear viscosity measurement was made by Akimoto et al 58) with a torsional oscillator in magnetic fields below 12 T at various pressures below the melting pressure in a well controlledl l texture geometry. The temperature dependence at a given magnetic field was qualitatively similar to the Leiden results at melting pressure.…”

Section: Shear Viscositymentioning

confidence: 99%

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: Shear Viscositymentioning

confidence: 99%

Spin Polarized Superfluid³He A₁

Kojima

Ishimoto

2008

J. Phys. Soc. Jpn.

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“…Experimental evidence can be presented showing Pfitzner procedure is preferable to s-p approximation. Actually, in viscosity calculations of the A 1 -phase of superfluid 3 He (both at low temperatures [23,24,26] and near T c↑ [25]), applying Pfitzner procedure gave rise to a result compatible with the experiment. This strengthens the idea that Pfitzner procedure serves the purpose of the present case of study better than s-p approximation does.…”

Section: Application Of Boltzmann Equationmentioning

confidence: 72%

“…The transport properties such as the spin diffusion coefficients in the anisotropic A 1 -phase are highly desirable [6,22]. Some of transport coefficients of A 1 -phase have been derived both theoretically and experimentally; for example, viscosity at low temperatures and near critical temperature has been theoretically obtained [23][24][25][26] and a number of viscosity measurements have been carried out in a variety of high magnetic fields [27]. Also, thermal conductivity of A 1 -phase at low temperatures has been calculated theoretically, and as far as I am informed, there has been no data available about thermal conductivity of A 1 -phase [26,28,29] thus far.…”

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confidence: 99%

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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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“…We also consider normal-superfluid interactions which come from the scattering between superfluid quasiparticles in the spin-up population, the so-called Bogoliubov quasiparticles and the normal fluid quasiparticles in the spin -down population. It is mentioned that, at low temperatures, we have shown that only normal-Bogoliubov quasiparticles interaction is important [3,4]. Also, however the number of the quasiparticles in superfluid is not fixed (and then some other processes such as decay and coalescence can occur), at low temperatures it has been shown that just the binary process are dominant [3][4][5].…”

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confidence: 82%

Bogoliubov‐normal interaction and calculation of thermal conductivity of superfluid A₁‐³He

Afzali

Ebrahimian

2006

Phys. Status Solidi (c)

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PACS 67.57.HiThe diffusive thermal conductivity tensor of the A 1 -phase of superfluid 3 He at low temperatures and melting pressure are calculated by s-p approximation, by using the Boltzmann equation approach. We obtain that the elements of the diffusive thermal conductivities, K xx , K yy , and K zz , are proportional to T -1 . Then we compare the results of this paper and our results of thermal conductivity based on Pfitzner procedure. Temperature dependence of both results is equal but numerical coefficients of them are little different. Also we show that Boguliubov-normal interaction is important in comparison to other interactions.

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Quasiparticle relaxation rate and shear viscosity of superfluid -A1 at low temperatures

Abstract: Quasiparticle relaxation rate,

Cited by 8 publications

References 13 publications

Spin Polarized Superfluid³He A₁

Spin Polarized Superfluid³He A₁

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

Bogoliubov‐normal interaction and calculation of thermal conductivity of superfluid A₁‐³He

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Quasiparticle relaxation rate and shear viscosity of superfluid -A1 at low temperatures

Abstract: Quasiparticle relaxation rate,

Cited by 8 publications

References 13 publications

Spin Polarized Superfluid3He A1

Spin Polarized Superfluid3He A1

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

Bogoliubov‐normal interaction and calculation of thermal conductivity of superfluid A1‐3He

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Product

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Spin Polarized Superfluid³He A₁

Spin Polarized Superfluid³He A₁

Bogoliubov‐normal interaction and calculation of thermal conductivity of superfluid A₁‐³He