Effect of vortex bending in the phase transition mediated by vortex rings in three dimensions and its relation to the λ transition in liquid helium

1993 ◽  
Vol 47 (9) ◽  
pp. 5465-5468 ◽  
Author(s):  
Alejandro F. Ramírez ◽  
Fernando Lund ◽  
Rodrigo Hernández
Keyword(s):  
Phase Transition ◽  
Liquid Helium ◽  
Three Dimensions ◽  
Vortex Rings

Critical properties of a dilute gas of vortex rings in three dimensions and theλtransition in liquid helium

1990 ◽  
Vol 41 (1) ◽  
pp. 155-161 ◽  
Author(s):  
Fernando Lund ◽  
Andreas Reisenegger ◽  
Constantino Utreras
Keyword(s):  
Liquid Helium ◽  
Three Dimensions ◽  
Vortex Rings ◽  
Critical Properties ◽  
Dilute Gas

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 Symmetries of Thirring Models on 3D Lattices

2022 ◽  
Author(s):  
Andreas Wilhelm Wipf ◽  
Julian Johannes Lenz
Keyword(s):  
Phase Transition ◽  
Order Parameter ◽  
Three Dimensions ◽  
Coupling Phase ◽  
Perturbative Methods ◽  
Dirac Materials ◽  
Recent Developments ◽  
Arbitrary Dimensions ◽  
Relativistic Fermi ◽  
The Continuum

We review some recent developments about strongly interacting relativistic Fermi theories in three spacetime dimensions. These models realize the asymptotic safety scenario and are used to describe the low-energy properties of Dirac materials in condensed matter physics. We begin with a general discussion of the symmetries of multi-flavor Fermi systems in arbitrary dimensions. Then we review known results about the critical flavor number $N_\mathrm{crit}$ of Thirring models in three dimensions. Only models with flavor number below $N_\mathrm{crit}$ show a phase transition from a symmetry-broken strong-coupling phase to a symmetric weak-coupling phase. Recent simulations with chiral fermions show that $N_\mathrm{crit}$ is smaller than previously extracted with various non-perturbative methods. Our simulations with chiral SLAC fermions reveal that for four-component flavors $N_\mathrm{crit}=0.80(4)$. This means that all reducible Thirring models with $\Nr=1,2,3,\dots$ show no phase transition with order parameter. Instead we discover footprints of phase transitions without order parameter. These new transitions are probably smooth and could be used to relate the lattice Thirring models to Thirring models in the continuum. For a single irreducible flavor, we provide previously unpublished values for the critical couplings and critical exponents.

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