A relation between critical exponents for the lambda phase transition in liquid helium

1969 ◽  
Vol 229 (1) ◽  
pp. 57-61
Author(s):  
Hans -Jürgen Mikeska
Keyword(s):  
Phase Transition ◽  
Liquid Helium ◽  
Critical Exponents

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

scholarly journals Phase Transition in Dynamical Systems: Defining Classes of Universality for Two-Dimensional Hamiltonian Mappings via Critical Exponents

2009 ◽  
Vol 2009 ◽  
pp. 1-22 ◽  
Author(s):  
Edson D. Leonel
Keyword(s):  
Phase Transition ◽  
Critical Exponents ◽  
Scaling Laws ◽  
Scaling Function ◽  
Initial Conditions ◽  
Invariant Tori ◽  
Dynamical Variable ◽  
Two Dimensional ◽  
Control Parameters ◽  
Average Value

A phase transition from integrability to nonintegrability in two-dimensional Hamiltonian mappings is described and characterized in terms of scaling arguments. The mappings considered produce a mixed structure in the phase space in the sense that, depending on the combination of the control parameters and initial conditions, KAM islands which are surrounded by chaotic seas that are limited by invariant tori are observed. Some dynamical properties for the largest component of the chaotic sea are obtained and described in terms of the control parameters. The average value and the deviation of the average value for chaotic components of a dynamical variable are described in terms of scaling laws, therefore critical exponents characterizing a scaling function that describes a phase transition are obtained and then classes of universality are characterized. The three models considered are: The Fermi-Ulam accelerator model, a periodically corrugate waveguide, and variant of the standard nontwist map.

scholarly journals Analysis based on scaling relations of critical behaviour at PM–FM phase transition and universal curve of magnetocaloric effect in selected Ag-doped manganites

RSC Advances ◽  
2018 ◽  
Vol 8 (33) ◽  
pp. 18294-18307 ◽  
Author(s):  
S. Tarhouni ◽  
R. M'nassri ◽  
A. Mleiki ◽  
W. Cheikhrouhou-Koubaa ◽  
A. Cheikhrouhou ◽  
...  
Keyword(s):  
Phase Transition ◽  
Heat Capacity ◽  
Magnetocaloric Effect ◽  
Critical Exponents ◽  
Critical Behaviour ◽  
Scaling Relations ◽  
Universal Curve ◽  
Magnetic Entropy ◽  
Heat Capacity Changes ◽  
Doped Manganites

The universal curves of magnetic entropy changes and heat capacity changes for Pr0.5Sr0.5−xAgxMnO3 (0 ≤ x ≤ 0.2) are obtained by using the critical exponents.

Critical exponents and the universality class of a minesweeper percolation model

2020 ◽  
Vol 31 (09) ◽  
pp. 2050129
Author(s):  
Yuqi Qing ◽  
Wen-Long You ◽  
Maoxin Liu
Keyword(s):  
Phase Transition ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Critical Exponents ◽  
Critical Density ◽  
Universality Class ◽  
Percolation Model ◽  
System Configuration ◽  
Percolation Transition ◽  
Second Order Phase Transition

We introduce a minesweeper percolation model, in which the system configuration is obtained via an automatic minesweeper process. For a variety of candidate networks with different lattice configurations, our process gives rise to a second-order phase transition. Using Monte Carlo simulation, we identify the critical points implied by giant components. A set of critical exponents are extracted to characterize the nature of the minesweeper percolation transition. The determined universality class shows a clear difference from the traditional percolation transition. A proper mine density of the minesweeper game should be set around the critical density.

PHASE TRANSITION, GEOMETROTHERMODYNAMICS AND CRITICAL EXPONENTS OF BARDEEN BLACK HOLE

2014 ◽  
Vol 23 (04) ◽  
pp. 1450040
Author(s):  
JIE-XIONG MO
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Specific Heat ◽  
Critical Exponents ◽  
Transition Point ◽  
Scaling Laws ◽  
Phase Transition Point ◽  
Invariant Metrics ◽  
Thermodynamic Quantities ◽  
Transition Structure

In this paper, we investigate the phase transition of Bardeen black hole for the first time. First, we calculate thermodynamic quantities and correct the misuse of formula in former literature. Second, we investigate in detail the behavior of specific heat. We not only discuss the influence of parameter on phase transition, but also show the three-dimensional behavior of the specific heat. It is shown that phase transition takes place from a locally unstable large black hole to a locally stable small black hole. It is also shown that the location of phase transition point is proportional to the charge. Meanwhile, we study the behavior of the inverse of the isothermal compressibility and find that it diverges at the phase transition point. Thirdly, we build up geometrothermodynamics to examine the phase transition structure. It is shown that Legendre invariant thermodynamic scalar curvature diverges exactly where the specific heat diverges, which leads to the conclusion that the Legendre invariant metrics can correctly produce the behavior of the phase transition structure. Furthermore, to gain a thorough understanding of critical behavior, we calculate the relevant critical exponents and examine the scaling laws. It is shown that they are in agreement with the scaling laws.

scholarly journals On the critical exponents for the λ transition in liquid helium

JETP Letters ◽  
2007 ◽  
Vol 86 (1) ◽  
pp. 39-45 ◽  
Author(s):  
A. A. Pogorelov ◽  
I. M. Suslov
Keyword(s):  
Liquid Helium ◽  
Critical Exponents
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