Quick Search:
Prog. Theor. Phys. Vol. 6 No. 6 (1951) pp. 980-989
On the Hydrodynamics of Degenerating Bose-Einstein Gases
Sadao Nakajima
Physical Institute, Nagoya University
(Received October 3, 1951)
Abstract:
The hydrodynamic equations of the degenerating ideal Bose-Einstein gas are derived, assuming that the distribution function of gas atoms has a singularity of δ-type in momentum space:
f = Ns δ(p-Ps) + fn.
For fn, a particular approximate solution is proposed, in which the mean momentum of the normal atoms is different from the momentum of the condensed atoms, Ps. The resulting thermohydrodynamic equations are very similar to those of the two fluid model of liquid helium II. In both cases, for instance, the two component fluids exert the frictional forces on each other. Nevertheless the degenerating ideal Bose-Einstein gas does not exhibit such peculiar properties as second sound, fountain pressure, etc., because of the vanishing chemical potential in this case.
URL :
http://ptp.ipap.jp/link?PTP/6/980/
DOI : 10.1143/PTP.6.980
References:
- F. London, Nuovo Cim. 6 (1949), 247.
- L. Landau, J. Phys. USSR 5 (1941), 71.
- H. S. Green, Proc. Roy. Soc. A 194 (1948), 244.
-
D. W. Osborne, B. M. Abraham and B. Weinstock, Phys. Rev. 82 (1951), 263[APS].
-
R. C. Tolman and P. C. Fine, Rev. Mod. Phys. 20 (1948), 67[APS].
-
L. Tisza, Phys. Rev. 72 (1947), 838[APS].
- S. Nakajima and M. Shimizu, Prog. Theor. Phys. 5 (1950), 1010[PTP].
-
C. J. Gorter, Physica 15 (1949), 523[CrossRef].
- T. Usui, to be published in Physica.
-
S. Nakajima, K. Tomita and T. Usui, Phys. Rev. 78 (1950), 768[APS].
-
P. Zilsel, Phys. Rev. 79 (1950), 309[APS].
-
E. A. Uhling and G. E. Uhlenbeck, Phys. Rev. 43 (1933), 552[APS].
Citing Article(s) :
-
Progress of Theoretical Physics Vol. 8 No. 3 (1952) pp. 327-340
:
-
The Quantum-Statistical Theory of Transport Phenomena, I
-
Hazime Mori and Syû Ono
