Nonlinear oscillations of a degenerate He3-He4 solution

A. F. Andreev; Ya. B. Bazalii; P. V. Shevchenko

Nonlinear oscillations of a degenerate He³-He⁴ solution

A. F. Andreev, Ya. B. Bazalii, P. V. Shevchenko

Research output: Contribution to journal › Article › peer-review

Abstract

We derive an exact system of nonlinear equations that describe the dynamics of a degenerateHe³ - He⁴ solution, and compute the nonlinear correction to the propagation velocity of first sound (proportional to the amplitude) in the collisionless limit. Our nonlinear treatment requires the third functional derivative of the total energy with respect to the distribution function of He³ quasi particles in addition to the second functional derivative (the Landau function). We find the Fermi-liquid parameters in the limit of small He³ concentrations from a microscopic calculation, and obtain an explicit expression for the correction.

Original language	English
Pages (from-to)	885-894
Number of pages	10
Journal	Journal of Experimental and Theoretical Physics
Volume	82
Issue number	5
Publication status	Published - 1996
Externally published	Yes

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Cite this

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title = "Nonlinear oscillations of a degenerate He3-He4 solution",

abstract = "We derive an exact system of nonlinear equations that describe the dynamics of a degenerateHe3 - He4 solution, and compute the nonlinear correction to the propagation velocity of first sound (proportional to the amplitude) in the collisionless limit. Our nonlinear treatment requires the third functional derivative of the total energy with respect to the distribution function of He3 quasi particles in addition to the second functional derivative (the Landau function). We find the Fermi-liquid parameters in the limit of small He3 concentrations from a microscopic calculation, and obtain an explicit expression for the correction.",

author = "Andreev, {A. F.} and Bazalii, {Ya. B.} and Shevchenko, {P. V.}",

year = "1996",

language = "English",

volume = "82",

pages = "885--894",

journal = "Journal of Experimental and Theoretical Physics",

issn = "1063-7761",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "5",

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TY - JOUR

T1 - Nonlinear oscillations of a degenerate He3-He4 solution

AU - Andreev, A. F.

AU - Bazalii, Ya. B.

AU - Shevchenko, P. V.

PY - 1996

Y1 - 1996

N2 - We derive an exact system of nonlinear equations that describe the dynamics of a degenerateHe3 - He4 solution, and compute the nonlinear correction to the propagation velocity of first sound (proportional to the amplitude) in the collisionless limit. Our nonlinear treatment requires the third functional derivative of the total energy with respect to the distribution function of He3 quasi particles in addition to the second functional derivative (the Landau function). We find the Fermi-liquid parameters in the limit of small He3 concentrations from a microscopic calculation, and obtain an explicit expression for the correction.

AB - We derive an exact system of nonlinear equations that describe the dynamics of a degenerateHe3 - He4 solution, and compute the nonlinear correction to the propagation velocity of first sound (proportional to the amplitude) in the collisionless limit. Our nonlinear treatment requires the third functional derivative of the total energy with respect to the distribution function of He3 quasi particles in addition to the second functional derivative (the Landau function). We find the Fermi-liquid parameters in the limit of small He3 concentrations from a microscopic calculation, and obtain an explicit expression for the correction.

M3 - Article

SN - 1063-7761

VL - 82

SP - 885

EP - 894

JO - Journal of Experimental and Theoretical Physics

JF - Journal of Experimental and Theoretical Physics

IS - 5

ER -

Nonlinear oscillations of a degenerate He3-He4 solution

Abstract

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Nonlinear oscillations of a degenerate He³-He⁴ solution