Universality and the scaling laws in the superfluid phase transition of3He-4He mixtures

1976 ◽  
Vol 25 (5-6) ◽  
pp. 645-670 ◽  
Author(s):  
Giichi Terui
Keyword(s):  
Phase Transition ◽  
Scaling Laws ◽  
Superfluid Phase

scholarly journals Renormalization group study of superfluid phase transition: Effect of compressibility

2020 ◽  
Vol 102 (2) ◽  
Author(s):  
Michal Dančo ◽  
Michal Hnatič ◽  
Tomáš Lučivjanský ◽  
Lukáš Mižišin
Keyword(s):  
Phase Transition ◽  
Renormalization Group ◽  
Superfluid Phase ◽  
Transition Effect

The Order of Phase Transition of Solvable DNA Melting Models

2003 ◽  
Vol 17 (16) ◽  
pp. 885-896 ◽  
Author(s):  
Su-Long Nyeo ◽  
I-Ching Yang
Keyword(s):  
Phase Transition ◽  
Hydrogen Bonds ◽  
Short Range ◽  
Scaling Laws ◽  
Dna Melting ◽  
Thermodynamic Quantities ◽  
Base Pairs ◽  
Order Of Phase Transition ◽  
Exactly Solvable ◽  
Dna Models

The phase transition of DNA molecules is studied in an exactly solvable formalism with the Morse and Deng–Fan potentials for the interstrand hydrogen bonds of nucleotide base pairs. It is shown that although the two potentials have different short-range behaviors, the thermodynamic quantities of the DNA system in these potentials enjoy the same scaling laws with the associated critical exponents, which are explicitly calculated. These exactly solvable DNA models are shown to exhibit a phase transition of the second order and the results of the analysis agree with previous studies.

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 Manipulating the critical temperature for the superfluid phase transition in trapped atomic Fermi gases

2002 ◽  
Vol 65 (6) ◽  
Author(s):  
C. P. Search ◽  
H. Pu ◽  
W. Zhang ◽  
B. P. Anderson ◽  
P. Meystre
Keyword(s):  
Phase Transition ◽  
Critical Temperature ◽  
Fermi Gases ◽  
Superfluid Phase

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.

QUANTUM CELL MODEL FOR He II AT NONZERO TEMPERATURE

1966 ◽  
Vol 44 (11) ◽  
pp. 2775-2787
Author(s):  
G. C. Knollman
Keyword(s):  
Phase Transition ◽  
Specific Volume ◽  
Cell Model ◽  
Model Development ◽  
Absolute Zero ◽  
Superfluid Transition ◽  
Superfluid Phase ◽  
Nonzero Temperature ◽  
Repulsive Energy ◽  
Zero Momentum

A previous quantum cell-model development is expanded to treat the solid-superfluid phase transition and the zero-momentum occupation at temperatures other than absolute zero. Application is made to liquid He II, which is studied at various pressures out to temperatures of about a degree absolute. The effective repulsive energy, along the solid–superfluid transition, is determined for pairs of 4He atoms localized in cells of volume equal to the specific volume.

Band Propagation, Scaling Laws and Phase Transition in a Precipitate System. I: Experimental Study

2012 ◽  
Vol 116 (18) ◽  
pp. 4427-4437 ◽  
Author(s):  
Mazen Al-Ghoul ◽  
Manal Ammar ◽  
Rabih O. Al-Kaysi
Keyword(s):  
Phase Transition ◽  
Experimental Study ◽  
Scaling Laws

KNOTTED VORTICES AND SUPERFLUID PHASE TRANSITION

1993 ◽  
Vol 07 (23) ◽  
pp. 1523-1526 ◽  
Author(s):  
ROBERT OWCZAREK
Keyword(s):  
Phase Transition ◽  
Ising Model ◽  
Specific Heat ◽  
Superfluid Helium ◽  
Vortex Structures ◽  
Two Dimensional ◽  
Superfluid Phase ◽  
Λ Point

In this letter, studies of knotted vortex structures in superfluid helium are continued. A model of superfluid phase transition (λ-transition) is built in this framework. Similarities of this model to the two-dimensional Ising model are shown. Dependence of specific heat of superfluid helium on temperature near the λ point is explained.

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