The equation that describes the suprathermal distribution of high-energy phonons (h phonons) created in anisotropic phonon systems in superfluid helium is obtained. The solution of this equation enables the derivation of the value of suprathermal ratio S as the ratio of the actual distribution to the Bose–Einstein one, its dependences on the momentum of the h phonons, the anisotropy parameters, and the temperature of the low-energy phonons from which the h phonons are created. We analyze this equation to obtain an estimate of the value of the ratio between the h-phonon number density in anisotropic and isotropic phonon systems and draw conclusions about the dependence of S on the relevant parameters.
REFERENCES
1.
2.
3.
W. G. Stirling, 75th Jubilee Conference on J. G. M. Armitage (Ed.), World Scientific, Singapure (1983), p. 109.
4.
5.
A. F. G.
Wyatt
, N. A.
Lockerbie
, and R. A.
Sherlock
, Phys. Rev. Lett.
33
, 1425
(1974
).6.
7.
8.
M. A. H.
Tucker
, A. F. G.
Wyatt
, I. N.
Adamenko
, K. E.
Nemchenko
, and A. V.
Zhukov
, Fiz. Nizk. Temp. 25, 657 (1999) [Low Temp. Phys.
25
, 488
(1999
)].9.
10.
S. G. Eckstein, Y. Eckstein, J. B. Ketterson, and J. H. Vignos, Phys. Acoustics 2, Academic Press, New York (1970), p. 244.
11.
I. M. Khalatnikov, Theory of Superfluidity, Nauka, Moscow (1971) (in Russian).
12.
13.
I. N.
Adamenko
and M. I.
Kaganov
, Zh. Éksp. Teor. Fiz. 53, 886 (1967). [Sov. Phys. JETP
26
, 537
(1968
)].14.
V. L.
Gurevich
and B. D.
Laı̆khtman
, Zh. Éksp. Teor. Fiz. 69, 1230 (1975). [Sov. Phys. JETP
42
, 628
(1975
)].15.
V. L.
Gurevich
and B. D.
Laı̆khtman
, Zh. Éksp. Teor. Fiz. 70, 1907 (1976). [Sov. Phys. JETP
43
, 993
(1976
)].16.
17.
18.
19.
20.
M. A. H.
Tucker
and A. F. G.
Wyatt
, J. Low Temp. Phys.
113
, 621
(1998
).21.
I. N.
Adamenko
, K. E.
Nemchenko
, A. V.
Zhukov
, M. A. H.
Tucker
, and A. F. G.
Wyatt
, Phys. Rev. Lett.
82
, 1482
(1999
).22.
A. F. G.
Wyatt
, M. A. H.
Tucker
, I. N.
Adamenko
, K. E.
Nemchenko
, and A. V.
Zhukov
, Phys. Rev. B
6
, 9402
(2000
).23.
A. F. G.
Wyatt
, M. A. H.
Tucker
, I. N.
Adamenko
, K. E.
Nemchenko
, and A. V.
Zhukov
, Phys. Rev. B
62
, 3029
(2000
).24.
A. F. G.
Wyatt
, M. A. H.
Tucker
, I. N.
Adamenko
, K. E.
Nemchenko
, and A. V.
Zhukov
, Physica B
280
, 36
(2000
).25.
I. N.
Adamenko
, K. E.
Nemchenko
, and A. F. G.
Wyatt
, J. Low Temp. Phys.
125
, 1
(2001
).26.
I. N.
Adamenko
, K. E.
Nemchenko
, and A. F. G.
Wyatt
, J. Low Temp. Phys.
126
, 1471
(2002
).27.
I. N.
Adamenko
, K. E.
Nemchenko
, and A. F. G.
Wyatt
, J. Low Temp. Phys.
126
, 609
(2002
).28.
I. N.
Adamenko
, K. E.
Nemchenko
, and A. F. G.
Wyatt
, Fiz. Nizk. Temp. 28, 123 (2002) [Low Temp. Phys.
28
, 85
(2002
)].
This content is only available via PDF.
© 2003 American Institute of Physics.
2003
American Institute of Physics
You do not currently have access to this content.