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

Topological phase transitions in frustrated magnets

2006 ◽  
Vol 84 (6-7) ◽  
pp. 517-522
Author(s):  
B W Southern ◽  
A Peles
Keyword(s):  
Three Dimensions ◽  
Frustrated Magnets ◽  
Critical Properties ◽  
Complete Understanding ◽  
Topological Excitations ◽  
Number Of Layers ◽  
Spatial Dimensions ◽  
75.40 Cx ◽  
Topological Phase Transitions

The role of topological excitations in frustrated Heisenberg antiferromagnets between two and three spatial dimensions is considered. In particular, the antiferromagnetic Heisenberg model on a stacked triangular geometry with a finite number of layers is studied using Monte Carlo methods. A phase transition that is purely topological in nature occurs at a finite temperature for all film thicknesses. The results indicate that topological excitations are important for a complete understanding of the critical properties of the model between two and three dimensions. PACS Nos.: 75.10.Hk, 75.40.Cx, 75.40.Mg

scholarly journals Critical Properties of the Half-Filled Hubbard Model in Three Dimensions

2011 ◽  
Vol 107 (25) ◽  
Author(s):  
G. Rohringer ◽  
A. Toschi ◽  
A. Katanin ◽  
K. Held
Keyword(s):  
Hubbard Model ◽  
Three Dimensions ◽  
Critical Properties

ON THE COUPLER CURVE OF 3R2C LINKAGES

1998 ◽  
Vol 22 (3) ◽  
pp. 251-267
Author(s):  
H.S. Yan ◽  
W.H. Hsieh
Keyword(s):  
Algebraic Curve ◽  
Three Dimensions ◽  
Critical Properties ◽  
Dimensional Synthesis ◽  
Analytical Geometry ◽  
Loop Closure ◽  
Input And Output ◽  
Closure Equation

The purpose of this paper is to investigate the properties of the coupler curves generated by all 3R2C linkages. First, the 3x3 matrix with dual elements is used to derive the loop closure equation, the displacement equations are derived, and all joints variables are expressed in terms of input and output variables. Then, the parametric equations of the coupler curve are found by the D-H matrix. Finally, homogeneous coordinate is introduced to those displacement equations, and the order and some critical properties of the coupler curve are investigated based on the theories of algebraic curve and analytical geometry of three dimensions. In addition, RCRCR and RRCCR linkages are used as examples for illustration. Moreover, the results on the application of dimensional synthesis are discussed.

Self-trapping of electrons in vortex rings in liquid helium

JETP Letters ◽  
2017 ◽  
Vol 105 (12) ◽  
pp. 797-800 ◽  
Author(s):  
A. G. Khrapak ◽  
S. Ya. Bronin
Keyword(s):  
Liquid Helium ◽  
Vortex Rings ◽  
Self Trapping

Formation of charged vortex rings in liquid helium below 0.8°K

1968 ◽  
Vol 26 (12) ◽  
pp. 605-606 ◽  
Author(s):  
S. Cunsolo ◽  
B. Maraviglia ◽  
M.V. Ricci
Keyword(s):  
Liquid Helium ◽  
Vortex Rings

Comparison of the Critical Properties of the S = 1/2 XY Model and Liquid Helium Near the Lambda Transition

1973 ◽  
Vol 51 (21) ◽  
pp. 2249-2259 ◽  
Author(s):  
D. D. Betts ◽  
J. R. Lothian
Keyword(s):  
Liquid Helium ◽  
Field Model ◽  
Xy Model ◽  
Zero Field ◽  
Critical Properties ◽  
Lambda Transition ◽  
The One ◽  
Lambda Line ◽  
Model C ◽  
Good Agreement

Experimental properties of the lambda line of liquid helium are used together with properties of the zero-field spin 1/2 XY model to determine, on the one hand, the point on the lambda line to which the zero-field model applies, and on the other hand, to determine the lattice spacing of the model. On the f.c.c. lattice the specific heat of the model, C/NkB ~ −0.255 ln (1 − Tc/T) − 0.190 near Tc. This result is shown to be in good agreement with recent experimental results of Ahlers on liquid helium. Other properties of the S = 1/2 XY model are also calculated and, where comparison can be made, agree well with experiment.

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