Prog. Theor. Phys. Vol. 64 No. 6 (1980) pp. 1902-1917

[ Full Text PDF : FREE ACCESS (1061K) ]

Helium near the Superfluid Transition under Heat Flow

— Disordered Phase —

Akira Onuki

Department of Physics, Kyushu University, Fukuoka 812

(Received July 11, 1980)

Abstract:

A steady state of helium is considered near the superfluid transition under heat flow. A surface transition is predicted to take place in the presence of temperature gradient. The corresponding surface critical temperature is found to be in fair agreement with the temperature at an interface of He I and He II under heat flow which was observed by Bhagat et al. The steady state variance of the complex order parameter fluctuations is also examined in the mean field approximation.

URL : http://ptp.ipap.jp/link?PTP/64/1902/
DOI : 10.1143/PTP.64.1902

References:

B. I. Halperin, P. C. Hohenberg and E. D. Siggia, Phys. Rev. B 13 (1976), 1299[APS].
P. C. Hohenberg and B. I. Haplerin, Rev. Mod. Phys. 49 (1977), 435[APS].
K. Kawasaki, Ann. of Phys. 61 (1970), 1[CrossRef].
V. L. Ginzburg and A. A. Sobaynin, Sov. Phys. -Uspekhi 19 (1975), 773 and references quoted therein.
A. Onuki, Prog. Theor. Phys. 63 (1980), 1854[PTP].
H. Mori, Phys. Rev. 112 (1958), 1929[APS].
K. Kawasaki, T. Ohta and A. Onuki, Prog. Theor. Phys. 63 (1980), 821[PTP].
A. J. Bray and M. A. Moore, J. of Phys. A 10 (1977), 1927 [CrossRef]and references quoted therein.
M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1968).
Y. L. Luke, Integrals of Bessel Functions (McGraw-Hill, 1962).
A. Schmid, Phys. Rev. 180 (1969), 527[APS].
G. Ahlers, in Physics of Liquid and Solid Helium, edited by K. H. Benneman and J. B. Ketterson (Willy, New York, 1976), vol. 1, Chpa. 11.
R. A. Ferrell and J. K. Bhattacharjee, Phys. Rev. Lett. 42 (1979), 1648[APS].
R. A. Ferrell, V. Dohm and J. K. Bhattacharjee, Phys. Rev. Lett. 41 (1978), 1848[APS].
C. de Dominicis and L. Peliti, Phys. Rev. B 18 (1978), 353[APS].
V. Dohm, Z. Phys. B 33 (1979), 79.
P. C. Hohenberg, B. I. Halperin and D. R. Nelson, Phys. Rev. B 22 (1980), 2373[APS].
P. C. Hohenberg, A. Aharony, B. I. Halperin and E. D. Siggia, Phys. Rev. B 13 (1976), 2986[APS].
K. D. Erben and E. Pobell, Phys. Lett. A 26 (1968), 368[CrossRef].
S. M. Bhagat and R. A. Lasken, Phys. Rev. A 3 (1970), 577[APS]; ibid. 5 (1972), 2297[APS].
S. M. Bhagat, R. S. Davis and R. A. Lasken, in Proceedings of the Thirteenth International Conference on Low Temperature Physics, edited by K. D. Timmerhaus, W. J. O'Sullivan and E. F. Hammael (Plenum, New York, 1974), vol. 1, p. 328.
Yu. G. Mamladze, Sov. Phys. -JETP 25 (1967), 479.
L. Kramer, Phys. Rev. 179 (1969), 149[APS].
H. J. Mikeska, Phys. Rev. 179 (1969), 166[APS].
A. Onuki and K. Kawasaki, Ann. of Phys. 121 (1979), 456[CrossRef].

Citing Article(s) :

Progress of Theoretical Physics Vol. 70 No. 3 (1983) pp. 875-878 :
Phase Transformations of Helium near the Superfluid Transition under Heat Flow

Akira Onuki
Progress of Theoretical Physics Vol. 70 No. 4 (1983) pp. 935-940 :
Nonlinear Temperature Profiles near the Superfluid Transition

Akira Onuki
Progress of Theoretical Physics Supplement No.79 (1984) pp. 191-222 :
A HeI-HeII Interface and Second Sound Shock Waves near the Superfluid Transition

Akira Onuki