Nonlinear acoustics of superfluid helium

The results of investigations of nonlinear waves of first and second sound in HeII are reviewed. The equations of hydrodynamics of HeII in the standard and Hamiltonian formulations are presented. One-dimensional nonlinear waves and effects such as nonlinear conversion of waves into one another, formation of shock fronts, renormalization of the velocity of sound, and others are described. The effect of damping and dispersion is studied. A description of multidimensional waves is followed by a description of the phenomenon of self-focusing. Next, stability is discussed, the solution of the problem of the stability of a pressure shock wave is presented, and stochastic wave processes in acoustic turbulence are discussed. Experimental investigations of nonlinear waves in HeII are presented. In conclusion the paths for further development of the problems touched upon are discussed.

PACS: 67.40.Pm, 67.40.Kh, 67.40.Vs, 43.25.−x (all)
DOI: 10.1070/PU1990v033n06ABEH002599
URL: https://ufn.ru/en/articles/1990/6/b/
Citation: Nemirovskii S K "Nonlinear acoustics of superfluid helium" Sov. Phys. Usp. 33 (6) 429–452 (1990)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Немировский С К «Нелинейная акустика сверхтекучего гелия» УФН 160 (6) 51–95 (1990); DOI: 10.3367/UFNr.0160.199006b.0051

Cited by (22) Similar articles (20) ↓

V.L. Ginzburg, A.A. Sobaynin “Superfluidity of helium II near the λ point” Sov. Phys. Usp. 19 773–812 (1976)
O.V. Rudenko “Nonlinear sawtooth-shaped waves” Phys. Usp. 38 965–989 (1995)
V.L. Ginzburg, A.A. Sobyanin “Superfluidity of helium II near the λ point” Sov. Phys. Usp. 31 289–299 (1988)
O.V. Rudenko “Interactions of intense noise waves” Sov. Phys. Usp. 29 620–641 (1986)
B.N. Esel’son, M.I. Kaganov et al “’Sound’ in superfluid liquids” Sov. Phys. Usp. 17 215–238 (1974)
Andronikashvili É L “Investigation of the thermal structure of helium II by scattering of cold neutrons” Sov. Phys. Usp. 3 888–894 (1961)
A.S. Monin “On the nature of turbulence” Sov. Phys. Usp. 21 429–442 (1978)
S.N. Gurbatov, A.I. Saichev, S.F. Shandarin “Large-scale structure of the Universe. The Zeldovich approximation and the adhesion model” Phys. Usp. 55 223–249 (2012)
A.P. Brysev, L.M. Krutyanskii, V.L. Preobrazhenskii “Wave phase conjugation of ultrasonic beams” Phys. Usp. 41 793–805 (1998)
S.A. Akhmanov, V.E. Gusev “Laser excitation of ultrashort acoustic pulses: New possibilities in solid-state spectroscopy, diagnostics of fast processes, and nonlinear acoustics” Sov. Phys. Usp. 35 (3) 153–191 (1992)
Sonin É B “Superflows and superfluidity” Sov. Phys. Usp. 25 409–430 (1982)
L.I. Men’shikov, M.K. Eseev “Some problems of the physics of exotic atoms” Phys. Usp. 44 135–171 (2001)
N.M. Kuznetsov “Stability of shock waves” Sov. Phys. Usp. 32 993–1012 (1989)
Yu.M. Gal’perin, V.L. Gurevich, V.I. Kozub “Nonlinear effects in the propagation of high-frequency sound in normal conductors” Sov. Phys. Usp. 22 352–367 (1979)
F.V. Bunkin, Yu.A. Kravtsov, G.A. Lyakhov “Acoustic analogues of nonlinear-optics phenomena” Sov. Phys. Usp. 29 607–619 (1986)
N.N. Bogolyubov (Jr.), M.Yu. Kovalevskii et al “On the microscopic theory of superfluid liquids” Sov. Phys. Usp. 32 1041–1059 (1989)
V.E. Zakharov, E.A. Kuznetsov “Hamiltonian formalism for nonlinear waves” Phys. Usp. 40 1087–1116 (1997)
Andronikashvili É L, Yu.G. Mamaladze et al “Properties of the quantized vortices generated by the rotation of helium II” Sov. Phys. Usp. 4 1–22 (1961)
E.G. Berezhko, G.F. Krymskii “Acceleration of cosmic rays by shock waves” Sov. Phys. Usp. 31 27–51 (1988)
G.E. Volovik “Superfluid properties of ³He-A” Sov. Phys. Usp. 27 363–384 (1984)

The list is formed automatically.