VARIATIONAL CALCULATION OF LATTICE SU(N) GAUGE SYSTEMS FOR N=4~6

1998 ◽  
Vol 13 (18) ◽  
pp. 3193-3202
Author(s):  
XITE ZHENG
Keyword(s):  
Phase Transition ◽  
Transition Point ◽  
Variational Calculation ◽  
Phase Transition Point ◽  
Lattice Gauge ◽  
Large N ◽  
Transition Points ◽  
Good Agreement ◽  
Gauge Systems

A variational calculation scheme of SU (N) lattice gauge Wilson models for large but finite N is presented. The order parameter EP and the phase transition points of lattice SU (N) gauge systems for N=4~6 are calculated. The results are in good agreement with Monte Carlo simulations. An extrapolation procedure for determination of the phase transition point in the large N limit is proposed.

Influence of the Size Effect on Magnetic Susceptibility in Ultrathin Films

2015 ◽  
Vol 233-234 ◽  
pp. 639-642
Author(s):  
Leonid L. Afremov ◽  
Aleksandr A. Petrov
Keyword(s):  
Experimental Data ◽  
Phase Transition ◽  
Magnetic Susceptibility ◽  
Theoretical Analysis ◽  
Ultrathin Films ◽  
Transition Point ◽  
Finite Size ◽  
Phase Transition Point ◽  
Shape Curve ◽  
Good Agreement

The magnetic susceptibility dependence on temperature near phase transition point was investigated by theoretical analysis. It is shown that with decreasing of the film thickness the magnetic susceptibility shape curve becomes more rounded finite-size function, centered about the lowered temperature Tc (L). The obtained results are in good agreement with experimental data.

scholarly journals CONFINEMENT–DECONFINEMENT PHASE TRANSITION IN HOT AND DENSE QCD AT LARGE N

2010 ◽  
Vol 25 (02n03) ◽  
pp. 543-553 ◽  
Author(s):  
ARIEL R. ZHITNITSKY
Keyword(s):  
Field Theory ◽  
Phase Transition ◽  
Transition Point ◽  
Sudden Change ◽  
Phase Transition Point ◽  
Critical Values ◽  
Quantum Field ◽  
Holographic Model ◽  
Large N ◽  
Deconfinement Phase Transition

We conjecture that the confinement–deconfinement phase transition in QCD at large number of colors N and Nf ≪ N at T ≠ 0 and µ ≠ 0 is triggered by the drastic change in θ behavior. The conjecture is motivated by the holographic model of QCD where confinement–deconfinement phase transition indeed happens precisely at T = Tc where θ dependence experiences a sudden change in behavior. The conjecture is also supported by quantum field theory arguments when the instanton calculations (which trigger the θ dependence) are under complete theoretical control for T > Tc, suddenly break down immediately below T < Tc with sharp changes in the θ dependence. Finally, the conjecture is supported by a number of numerical lattice results. We employ this conjecture to study confinement–deconfinement phase transition of hot and dense QCD in large N limit by analyzing the θ dependence. We estimate the critical values for Tc and µc where the phase transition happens by approaching the critical values from the hot and/or dense regions where the instanton calculations are under complete theoretical control. We also describe some defects of various codimensions within a holographic model of QCD by focusing on their role around the phase transition point.

scholarly journals Screening Study on Rheological Behavior and Phase Transition Point of Polymer-containing Fluids produced under the Oil Freezing Point Temperature

2019 ◽  
Vol 17 (1) ◽  
pp. 1442-1448
Author(s):  
Lingyue Zhu ◽  
Jing Dong ◽  
Wei Jiang ◽  
Dandan Yuan ◽  
Hong Jiang ◽  
...  
Keyword(s):  
Phase Transition ◽  
Low Temperature ◽  
Water Content ◽  
Rheological Behavior ◽  
Transition Point ◽  
Freezing Point ◽  
Polymer Concentration ◽  
Phase Transition Point ◽  
Point Temperature ◽  
Transition Points

AbstractFor an increasing implementation of the low-temperature transportation in oilfield, it is urgent priority initially to study the physical and chemical properties to provide the vital technical support for the low-temperature transport of the polymer flooding. In this paper, the rheological behavior of polymer-containing fluid produced from the Daqing polymer flood were first studied for an adaptation of transportation under the oil’s freezing point temperature. The experiments progressed with different temperature, shear rate, water content and polymer concentration which have great impacts on the viscosity of the fluids produced aiming to find the phase transportation point for the application of the low-temperature transportation. It was displayed that a significant discontinuity in the viscosity occurs at some range of water content. Before the phase transition point, presented in W/O (water-in-oil) emulsion, the viscosity was lifted with the increase of the water content while after the phase transition point, forming the O/W (oil-in-water) type emulsion, the viscosity was dropped with an increase of water content. The phase transition points strongly depend on the polymer concentration in the fluids Produced. It was demonstrated that the phase transition points of polymer-containing fluids were 65%, 70%, 50%, 50% and 50%, corresponding to the polymer concentrations of 315mg/L, 503mg/L, 708mg/L, 920mg/L and 1053mg/L, respectively. The characteristics are attributed to the viscous polymer. The fluidity of the fluid produced was decreased with the increase of polymer concentration.

scholarly journals Распространение поверхностной магнитоупругой волны в ферромагнетике в области ориентационного фазового перехода

2020 ◽  
Vol 62 (6) ◽  
pp. 851
Author(s):  
И.В. Мальцев ◽  
И.В. Бычков ◽  
Д.А. Кузьмин ◽  
В.Г. Шавров
Keyword(s):  
Phase Transition ◽  
Group Velocity ◽  
Yttrium Iron Garnet ◽  
Transition Point ◽  
Phase Transition Point ◽  
Yttrium Iron ◽  
Orientational Phase Transition ◽  
Velocity Changes ◽  
Iron Garnet ◽  
Magnetoelastic Surface

In this paper, we have studied the dependencies of group velocity and damping of magnetoelastic surface waves on the frequency at various external magnetic fields and propagation angles. The group velocity spikes occur at frequencies at which the damping peaks of the surface wave are detected. The behavior of a surface magnetoelastic wave in the vicinity of the orientational phase transition was also investigated. At the phase transition point, the group velocity changes by 1%. Dependences of the damping along the surface at various propagation angles point out on the nonreciprocal nature of the wave. All dependencies in this work were obtained using computer modeling. The parameters of the ferromagnet are taken typical for yttrium-iron garnet.

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