Osmotic Pressure of Degenerate<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi mathvariant="normal">He</mml:mi></mml:mrow><mml:mrow><mml:mn>4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Mixtures

Landau, J.; Tough, J. T.; Brubaker, N. R.; Edwards, D. O.

doi:10.1103/physrevlett.23.283

Cited by 89 publications

(9 citation statements)

References 12 publications

(5 reference statements)

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“…At lower temperatures, when the Fermi gas becomes degenerate, the temperature dependence becomes more complicated. That dependence has been explored in the experiments of Landau et al 234 and by Ghozlan et al 235 and appears to confirm the theoretical description. 236 Thus adequate analytical expressions for the osmotic pressure are available for the complete range of temperature and 3 He concentration.…”

Section: Osmotic Pressure Thermometrysupporting

confidence: 67%

Review paper: Recent advances in thermometry below 300 mK

et al. 1975

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Section: Osmotic Pressure Thermometrysupporting

confidence: 67%

Review paper: Recent advances in thermometry below 300 mK

et al. 1975

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“…15,17,25,39 Here we study the data of Martikainen et al, 1,2 which extends deepest into the ballistic regime. The parameters needed for the conversion (46) are the wire radius a = 62 μm, the distance between the container walls 2h = 16a, the vacuum frequencies f vac = 1202.85 Hz for wire 1 36,37 and the second line gives a fit to the second sound velocity data by Murdock and Corruccini. 38 The first four concentrations are at saturated vapor pressure, the last two at P = 10 atm.…”

Section: Parameter Valuesmentioning

confidence: 99%

Fermi liquid theory applied to vibrating wire measurements inHe3-He4
Virtanen
¹
,
Thuneberg
²

2011
Phys. Rev. B
3
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We use Fermi liquid theory to study the mechanical impedance of 3 He-4 He mixtures at low temperatures. The theory is applied to the case of vibrating wires, immersed in the liquid. We present numerical results based on a direct solution of the Landau-Boltzmann equation for the 3 He quasiparticle distribution for the full scale of the quasiparticle mean-free path . The two-fluid nature of mixtures is taken into account in the theory, and the effect of Fermi liquid interactions and boundary conditions are studied in detail. The results are in fair quantitative agreement with experimental data. In particular, we can reproduce the anomalous decrease in inertia, observed in vibrating wire experiments reaching the ballistic limit. The essential effect of the experimental container and second-sound resonances is demonstrated.

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“…For instance, Hirayoshi et al) 55 obtained U3Jk B = 0.12 K in dilute solutions of 3He in hcp 4He for molar volumes between 20 and 21 cm3/mole. Consequently the impuriton-impuriton interaction should have the form 176 U34(a/r) 3 where a is the nearest neighbor separation and r the distance between the impurities.…”

Section: Impuritonsmentioning

confidence: 99%

“…(29), provides a sensitive way to detect the effects of the ,~p4 in the quasiparticle energy and a non-local or velocity-dependent term in the effective interaction. Values of p, have been determined by Brubaker et al43 using a combination of the osmotic pressure data of Landau et al55 and their own measurements of the velocity of second sound u2. The measurements of u2 agree well with the later, more precise measurements of Greywall.…”

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confidence: 99%

Lectures on the properties of liquid and Solid 3He-4He mixtures at low temperatures

1992

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We give a concise review of the empirical properties of liquid and solid 3He-~He mixtures and their phenomenological interpretation.The bulk of the paper is about dilute solutions of 3He in liquid 4He at temperatures well below the tricritical point, where the roton and phonon excitations are comparatively unimportant. We describe the thermodynamic properties in terms of the Landau-Pomeranchuk 3He quasiparticles and the effective interaction between them, introduced by Emery and Bardeen, Baym and Pines. The scattering amplitude, needed to fit the low temperature transport properties, and the effective interaction are related, provided the multiple virtual scattering calculated by Fu and Pethick is included. The multiple scattering should always be included, even for very small concentrations. We present the evidence for the velocity dependence of the effective interaction, and urge that this also be taken into account in the interpretation of experiments. We give a short description of spin-polarized liquid mixtures and of the possibility of pairing superfluidity in solutions of He in liquid 4He. The existence of supersaturated solutions may be a way to attain p-wave pairing at accessible temperatures. Because of phase separation, the concentration of 4He in dilute mixtures 4 3 473 Van der Boog, Husson, Disatnik and Kramers [104] Esel'son, Nosovitskaya, Pogorelov and Sobolev [105] Spin diffusion coefficient Candela, McAlister, Wei and Vermeulen [89] Gully and Mullin [93] Murdock, Mountfield and Corruccini [107] Fenner and Luszczynski [106] Mass diffusion constant Vvedenskii and Peshkov [108] and Pobel [111] Magnetic susceptibility (by NMR) Ahonen, Paalanen, Richardson and Takano [65] 3" m an. .,..I TABLE I. Continued o~ Specific heat Owers-Bradley, Main, Bowley, Batey and Church [46] Van der Zeeuw, Mudde and Van Beelen [112] Polturak and Rosenbaum [113] Greywall [114] Phase separation Nakaumra, Fuji, Shigi and Nagao [140] Osmotic pressure Van de Klundert, Bos, Van der Meij and Steffens [116] Normal density p. Sobolev, Esel'snn, Nosovitskaya and Pogorelov [67] Pogoreiov, Esel'son, Nosovitskaya and Sobolev [66] Speeds of first and second sound u t, u 2 and attenuation o/l, Rudavskii, Chagovets and Sheshin [ 118] Wiegers, Jochemsen, Kranenburg and Frossati [84] Adamenko, Rudavskii, Tsyganok and Chagovets [119] Chagovets, Rudavskii and Goncharov [121] Rudavskii and Chagovets [120] Grivor'ev, Dyumin, Dikina and Svatko [179] Rudavskii and Chagovets [103] Greywali and Paalanen [85] [91] Dyumin, Esel'son, Dikina and Kotenev [122] Van der Boog, Husson, Disatnik and Kramers [104] Greywall [124] Van der Boog, Husson and Kramers [123] de Voogt, de Haas, Weiber and Kramers [126] de Voogt and Kramers [127] Rockwell, Benjamin and Greytak [125] X = 0.44-2.6% X =0.6-0.85% X=3-5% X

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Osmotic Pressure of DegenerateHe3-He4Mixtures

Cited by 89 publications

References 12 publications

Review paper: Recent advances in thermometry below 300 mK

Review paper: Recent advances in thermometry below 300 mK

Fermi liquid theory applied to vibrating wire measurements inHe3-He4
Virtanen
¹
,
Thuneberg
²

2011
Phys. Rev. B
3
0
0
0
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Lectures on the properties of liquid and Solid 3He-4He mixtures at low temperatures

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Osmotic Pressure of DegenerateHe3-He4Mixtures

Cited by 89 publications

References 12 publications

Review paper: Recent advances in thermometry below 300 mK

Review paper: Recent advances in thermometry below 300 mK

Fermi liquid theory applied to vibrating wire measurements inHe3-He4Virtanen1, Thuneberg2 2011Phys. Rev. B3000View full textAdd to dashboardCite

Lectures on the properties of liquid and Solid 3He-4He mixtures at low temperatures

Contact Info

Product

Resources

About

Fermi liquid theory applied to vibrating wire measurements inHe3-He4
Virtanen
¹
,
Thuneberg
²

2011
Phys. Rev. B
3
0
0
0
View full text Add to dashboard Cite