Critical behavior of the meniscus in helium crystals

Keshishev, K. O.; Сорокин, В. Н.; Shemyatikhin, D. B.

doi:10.1134/s0021364007030101

Cited by 5 publications

(8 citation statements)

References 2 publications

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“…[60] that internal relaxing effects induce damped oscillations in the interfacial motion during crystalline coarsening. As opposed to the classic parabolic phase-field model, the hyperbolic phase-field model predicts these interfacial oscillations in qualitative consistency with the oscillations on the surface of quantum crystals [61] and in crystallization waves in helium [62]. From a mathematical viewpoint, a search for existence and uniqueness of the solution and some well-posedness results for the problem of motion by mean curvature using the phase-field model with memory are beginning to be presented (see Ref.…”

Section: E Motion Of Antiphase Domainsmentioning

confidence: 99%

Diffuse-interface model for rapid phase transformations in nonequilibrium systems

Galenko¹,

2005

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A thermodynamic approach to rapid phase transformations within a diffuse interface in a binary system is developed. Assuming an extended set of independent thermodynamic variables formed by the union of the classic set of slow variables and the space of fast variables, we introduce finiteness of the heat and solute diffusive propagation at the finite speed of the interface advancing. To describe transformations within the diffuse interface, we use the phase-field model which allows us to follow steep but smooth changes of phase within the width of the diffuse interface. Governing equations of the phase-field model are derived for the hyperbolic model, a model with memory, and a model of nonlinear evolution of transformation within the diffuse interface. The consistency of the model is proved by the verification of the validity of the condition of positive entropy production and by outcomes of the fluctuation-dissipation theorem. A comparison with existing sharp-interface and diffuse-interface versions of the model is given.

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Section: E Motion Of Antiphase Domainsmentioning

confidence: 99%

Diffuse-interface model for rapid phase transformations in nonequilibrium systems

Galenko¹,

2005

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“…In this work, we continue to study the behavior of the contact angle that appears when the interface of two condensed phases of 4 He (crystal-superfluid) reaches a solid wall. The formulation of the problem and a detailed description of our optical technique were given in our earlier works [1,2]. Recall only that the technique consists in photographing a crystal using parallel light followed by digital processing of images.…”

mentioning

confidence: 99%

“…At the initial stage of experiments, we grew a small ∼ 1 mm 3 crystal whose basal plane was close to the hor-izontal. This procedure was described in detail in [1,2]. The crystal was then grown slowly to reach the level of the glass walls.…”

mentioning

confidence: 99%

“…Recall that the meniscus profile was determined from an analysis of a diffraction pattern, as was described in our earlier works [1,2]. However, it is difficult to perform this analysis near the crystal-liquid-wall contact line, i.e., in the region where the contact angle is to be determined.…”

mentioning

confidence: 99%

“…10 (solid circles). Here, we also present the results from [7] (open circles), which were obtained in the temperature range 50÷250 K by an analysis of a spectrum of crystallization waves, and from [4] (open triangles), which were obtained by an analysis of the (0001) face growth kinetics at temperatures close to the roughening temperature, and the value of β obtained in [1] (cross) at a temperature of 0.72 K.…”

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confidence: 99%

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Study of the 4He crystal surface

Keshishev,

Marchenko,

Shemyatikhin

2013

Preprint

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Evidence for Magnetic Crystallization Waves at the Surface of $$^3$$He Crystal

Todoshchenko,

Savin,

Hakonen

2024

J Low Temp Phys

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Ultralow temperature crystals of the helium isotopes $$^3$$ 3 He and $$^4$$ 4 He are intriguing quantum systems. Deciphering the complex features of these unusual materials has been made possible in large part by Alexander Andreev’s groundbreaking research. In 1978, Andreev and Alexander Parshin predicted the existence of melting/freezing waves at the surface of a solid $$^4$$ 4 He crystal, which was subsequently promptly detected. Successively, for the fermionic $$^3$$ 3 He superfluid/solid interface, even more intricate crystallization waves were anticipated, although they have not been observed experimentally so far. In this work, we provide preliminary results on $$^3$$ 3 He crystals at the temperature $$T = 0.41$$ T = 0.41 mK, supporting the existence of spin supercurrents in the melting/freezing waves on the crystal surface below the antiferromagnetic ordering temperature $$T_N= 0.93$$ T N = 0.93 mK, as predicted by Andreev. The spin currents that accompany such a melting-freezing wave make it a unique object, in which the inertial mass is distinctly different from the gravitational mass.

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Critical behavior of the meniscus in helium crystals

Cited by 5 publications

References 2 publications

Diffuse-interface model for rapid phase transformations in nonequilibrium systems

Diffuse-interface model for rapid phase transformations in nonequilibrium systems

Study of the 4He crystal surface

Evidence for Magnetic Crystallization Waves at the Surface of $$^3$$He Crystal

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