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Arnold, R. H.; Pipes, P. B.

doi:10.1103/physrevb.21.5156

Cited by 51 publications

(2 citation statements)

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“…For a given average isotopic mass M, we randomly distribute 3 He and 4 He atoms in the appropriate proportions over the lattice sites of the simulation cell, and the atoms are kept fixed at their respective positions along the simulation (no diffusive positional changes). This is assumed to be valid for the temperatures studied here, much higher than those at which phase separation appears (T < 1 K) [26,27]. For each isotopic composition studied here, we have taken five different realizations of the isotope mixture.…”

Section: Methodsmentioning

confidence: 99%

“…It is well kown that at temperatures lower than 1 K, a phase separation appears in solid 3 He-4 He mixtures, and the actual temperature at which this separation occurs depends on pressure and isotopic composition 26,27 . This isotope segregation is due to the different molar volume of both isotopes, which in turn is caused by the different zero-point vibrational amplitudes of 3 He and 4 He 27,28 .…”

Section: Introductionmentioning

confidence: 99%

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Molar volume of solid isotopic helium mixtures

Herrero¹

2007

J. Phys.: Condens. Matter

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Solid isotopic helium mixtures have been studied by path-integral Monte Carlo simulations in the isothermal-isobaric ensemble. This method allowed us to study the molar volume as a function of temperature, pressure, and isotopic composition. At 25 K and 0.2 GPa, the relative difference between molar volumes of isotopically-pure crystals of 3 He and 4 He is found to be about 3%. This difference decreases under pressure, and for 12 GPa it is smaller than 1%. For isotopically-mixed crystals, a linear relation between lattice parameters and concentrations of helium isotopes is found, in agreement with Vegard's law. The virtual crystal approximation, valid for isotopic mixtures of heavier atoms, does not give reliable results for solid solutions of helium isotopes.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Molar volume of solid isotopic helium mixtures

Herrero¹

2007

J. Phys.: Condens. Matter

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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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Phase separation in solid mixtures of helium-3 and helium-4

Ehrlich

Simmons

1987

J Low Temp Phys

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Pressure dependence of the isotopic phase separation temperature in solidHe3-
R. H. Arnold
¹
,
P. B. Pipes
²

Cited by 51 publications

References 9 publications

Molar volume of solid isotopic helium mixtures

Molar volume of solid isotopic helium mixtures

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

Phase separation in solid mixtures of helium-3 and helium-4

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Pressure dependence of the isotopic phase separation temperature in solidHe3-R. H. Arnold1, P. B. Pipes2

Cited by 51 publications

References 9 publications

Molar volume of solid isotopic helium mixtures

Molar volume of solid isotopic helium mixtures

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

Phase separation in solid mixtures of helium-3 and helium-4

Contact Info

Product

Resources

About

Pressure dependence of the isotopic phase separation temperature in solidHe3-
R. H. Arnold
¹
,
P. B. Pipes
²