Quasi-diffusion between phonon and roton gases in two- and three-dimensional liquid helium

Um, Chung-In; Jun, Chul-Won; Shin, Hyun‐Joon; George, Thomas F.

doi:10.1007/bf00682109

Cited by 3 publications

(1 citation statement)

References 15 publications

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“…In the region of intermediate temperature (0.7 K < T < 1 K), when the concentration of impuritons is small, the effective thermal conductivity is determined mainly by diffusion in the gas of thermal excitations. Diffusion processes in a phonon-roton gas were first considered in [10]. Later, in [1], these processes were shown to be the reason for a thermal transfer caused by a difference of dispersion laws of phonons and rotons.…”

Section: Thermal Conductivity Of Quasiparticle Systems Of Dilute Solumentioning

confidence: 99%

Diffusion in Two-Component Quasiparticle Systems of Liquid and Solid Mixtures of Helium Isotopes

Adamenko¹,

Nemchenko²,

Жуков³

et al. 1999

Condens. Matter Phys.

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An exact expression for the diffusion time which depends on the interaction rates for particles of not only different, but also of the same species, has been derived from the system of kinetic equations. The result is valid for particles with arbitrary statistics and energy-momentum relations. The derived general relations are valid for investigating diffusion in liquid and solid 3 He-4 He mixtures. The contribution of interaction between quasiparticles of the same type to the diffusion coefficient and effective thermal conductivity of superfluid solutions is analyzed. The calculated values are compared with experimental data. The calculated diffusion coefficient of 3 He-4 He solid solutions differs from the previous theoretical results. A comparison of the obtained diffusion coefficient with experimental data makes it possible to determine the numerical value of the energy band width for impurity quasiparticles.

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Section: Thermal Conductivity Of Quasiparticle Systems Of Dilute Solumentioning

confidence: 99%

Diffusion in Two-Component Quasiparticle Systems of Liquid and Solid Mixtures of Helium Isotopes

Adamenko¹,

Nemchenko²,

Жуков³

et al. 1999

Condens. Matter Phys.

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Thermal conductivity and first viscosity via temperature-dependent elementary excitation spectra in thin and bulk liquid 4He

Yoo

Lee

et al. 1994

Physica B: Condensed Matter

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Temperature variation of the elementary excitation spectrum of thin liquid−4He films

Nam

Lee

et al. 1992

Phys. Rev. B

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Itimc e o ulC rdeln for I,~nes gofi of inionmatiof is c"tomatt toa .,.qoie , hour owt rueam.. auecatmnq UI1w t t lhwrswumq unuaa,. Iat w esetauis ates ~Cin. The temperature variation of the elementary excitation spectrum of thin liquid 4 He films is derived within the ring diagram approximation. This theory is microscopic only in the long wavelength limit. Using this anomalous spectrum, the specific heat data adsorbed on Grafoil graphite and the first, second and third sounds are analyzed. The temperature variation of the phonon spectrum is very negligible for low temperatures. However, with increasing temperature from 0.6 ~ 0.7 K to near the vicinity of the two-dimensional transition temperature of 1.21 K, the temperature effect is significant regarding the physical properties of thin liquid 4He films. The temperature variation of the elementary excitation spectrum of thin liquid 4He films is derived within the ring diagram approximation. This theory is microscopic only in the long wavelength limit. Using this anomalous spectrum, the specific heat data adsorbed on Grafoil graphite and the first, second and third sounds are analyzed. The temperature variation of the phonon spectrum is very negligible for low temperatures. However, with increasing temperature from 0.6 -0.7 K to near the vicinity of the two-dimensional transition temperature of 1.21 K, the temperature effect is significant regarding the physical properties of thin liquid 4He films.

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Quasi-diffusion between phonon and roton gases in two- and three-dimensional liquid helium

Cited by 3 publications

References 15 publications

Diffusion in Two-Component Quasiparticle Systems of Liquid and Solid Mixtures of Helium Isotopes

Diffusion in Two-Component Quasiparticle Systems of Liquid and Solid Mixtures of Helium Isotopes

Thermal conductivity and first viscosity via temperature-dependent elementary excitation spectra in thin and bulk liquid 4He

Temperature variation of the elementary excitation spectrum of thin liquid−4He films

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