Phase Transition in the Pair-Hamiltonian Model for Liquid Helium

1969 ◽  
Vol 183 (1) ◽  
pp. 321-327 ◽  
Author(s):  
L. Reatto ◽  
J. P. Straley
Keyword(s):  
Phase Transition ◽  
Liquid Helium ◽  
Hamiltonian Model

Numerical Analysis of Two-Phase Pipe Flow of Liquid Helium Using Multi-Fluid Model

2001 ◽  
Vol 123 (4) ◽  
pp. 811-818 ◽  
Author(s):  
Jun Ishimoto ◽  
Mamoru Oike ◽  
Kenjiro Kamijo
Keyword(s):  
Phase Transition ◽  
Gas Phase ◽  
Liquid Helium ◽  
Two Phase Flow ◽  
Fluid Model ◽  
Numerical Results ◽  
Phase Flow ◽  
Two Dimensional ◽  
Two Phase ◽  
Normal Fluid

The two-dimensional characteristics of the vapor-liquid two-phase flow of liquid helium in a pipe are numerically investigated to realize the further development and high performance of new cryogenic engineering applications. First, the governing equations of the two-phase flow of liquid helium based on the unsteady thermal nonequilibrium multi-fluid model are presented and several flow characteristics are numerically calculated, taking into account the effect of superfluidity. Based on the numerical results, the two-dimensional structure of the two-phase flow of liquid helium is shown in detail, and it is also found that the phase transition of the normal fluid to the superfluid and the generation of superfluid counterflow against normal fluid flow are conspicuous in the large gas phase volume fraction region where the liquid to gas phase change actively occurs. Furthermore, it is clarified that the mechanism of the He I to He II phase transition caused by the temperature decrease is due to the deprivation of latent heat for vaporization from the liquid phase. According to these theoretical results, the fundamental characteristics of the cryogenic two-phase flow are predicted. The numerical results obtained should contribute to the realization of advanced cryogenic industrial applications.

On the Phase Transition in Liquid Helium

1941 ◽  
Vol 59 (9) ◽  
pp. 758-763 ◽  
Author(s):  
L. I. Schiff
Keyword(s):  
Phase Transition ◽  
Liquid Helium

Phase transition and λ-line in liquid helium

2013 ◽  
Vol 38 (2) ◽  
Author(s):  
Mauro Fabrizio ◽  
Maria Stella Mongiovì
Keyword(s):  
Phase Transition ◽  
Liquid Helium

Fluctuations and lambda phase transition in liquid helium

1968 ◽  
Vol 47 (3) ◽  
pp. 565-613 ◽  
Author(s):  
R.A. Ferrell ◽  
N. Menyhàrd ◽  
H. Schmidt ◽  
F. Schwabl ◽  
P. Szépfalusy
Keyword(s):  
Phase Transition ◽  
Liquid Helium

scholarly journals HAMILTONIAN MODEL FOR MULTIDIMENSIONAL EPISTASIS

2003 ◽  
Vol 14 (02) ◽  
pp. 169-173 ◽  
Author(s):  
SEHER ÖZÇELIK ◽  
AYŞE ERZAN
Keyword(s):  
Phase Transition ◽  
Equilibrium States ◽  
Wild Type ◽  
Epistatic Interactions ◽  
Beneficial Mutations ◽  
Hybrid Species ◽  
Hamiltonian Model

We propose and solve a Hamiltonian model for multidimensional epistatic interactions between beneficial mutations. The model gives rise to either a phase transition between two equilibrium states, without any coexistence, or exhibits a state where hybrid species coexist, with gradual passage from one wild type to another. The transition takes place as a function of the tolerance of the environment, which we defined as the amount of noise in the system.

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