QCD order parameter correlation from e+ e- data and analiticity in a constrained functional distance minimization approach

1983 ◽  
Vol 75 (3) ◽  
pp. 275-295 ◽  
Author(s):  
I. Caprini ◽  
C. Verzegnassi
Keyword(s):  
Order Parameter ◽  
Parameter Correlation ◽  
Functional Distance ◽  
Distance Minimization ◽  
Minimization Approach

Suppression of the Order Parameter Correlation Length by Inhomogeneous Strains

2000 ◽  
Vol 85 (13) ◽  
pp. 2765-2768 ◽  
Author(s):  
A. Tröster ◽  
W. Schranz ◽  
G. Krexner ◽  
A. V. Kityk ◽  
Z. Lodziana
Keyword(s):  
Correlation Length ◽  
Order Parameter ◽  
Parameter Correlation

SIX-VERTEX MODELS AS FERMI GASES

1991 ◽  
Vol 05 (14) ◽  
pp. 2385-2400
Author(s):  
PETER ORLAND
Keyword(s):  
Phase Diagram ◽  
Free Energy ◽  
Order Parameter ◽  
Fermi Gases ◽  
Two Dimensional ◽  
Vertex Model ◽  
Energy Correlation ◽  
Free Fermions ◽  
Parameter Correlation ◽  
Simple Physical Interpretation

The two-dimensional six-vertex model with a particular choice of external field is known to be equivalent to a theory of free Fermions. Two conditions are made on the six-vertex weights. A simple physical interpretation of the ordered and disordered phases is found. The Fermi sea is filled and the free energy, correlation length, order parameter, correlation functions and phase diagram are determined.

scholarly journals Correlations in Space and Time for a Soft-mode Phase-transforming System

1987 ◽  
Vol 40 (5) ◽  
pp. 619 ◽  
Author(s):  
SL Mair
Keyword(s):  
Correlation Function ◽  
Frequency Spectrum ◽  
Order Parameter ◽  
Central Peak ◽  
Square Lattice ◽  
Order Component ◽  
Low Frequencies ◽  
Potential Wells ◽  
Parameter Correlation ◽  
Dynamical Order

Using molecular dynamics (MD) for a system of.nonlinear (quadruple-quadratic) oscillators on a nearest-neighbour square lattice, the pair-displacement correlations. and the frequency spectrum for the dynamical order-parameter correlation function are obtained as a function of temperature. For temperatures T near Tc' the pair-displacement correlation function (with the long-range order component subtracted out) was found to vary with particle separation r as r- 1/2 exp { - A( T) rj, at least out to the tenth neighbour in the 40x40 particle lattice. This is consistent with predictions for the two-dimensional Ising model for T above, but not below, Tc. The frequency spectrum for the dynamical order-parameter correlation function shows the softening of the damped phonon-like modes as T approaches Tc and the formation of a central peak at Tc' consistent with the presence of soliton-like excitations. For small I T - Tc I an additional broad peak appears at low frequencies. This is interpreted as an additional phonon-like peak, the two quasi-phonon processes being associated with vibration across the potential barrier and vibration in one or other of the two potential wells respectively. Although the squared frequency wi of the soft quasi-phonon is approximately linear with I T - Tc lover a range of temperatures, as T increases the wi curve eventually flattens out.

scholarly journals Impact of Nanoparticles on Nematic Ordering in Square Wells

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
M. Slavinec ◽  
E. Klemenčič ◽  
M. Ambrožič ◽  
M. Krašna
Keyword(s):  
Order Parameter ◽  
Liquid Crystalline ◽  
Topological Defects ◽  
Nematic Order ◽  
Parameter Correlation ◽  
Nematic Ordering ◽  
Order Reconstruction ◽  
Square Well ◽  
Cartesian Coordinate ◽  
Cell Thickness

Nematic liquid crystalline structures within square wells are studied numerically using both Lebwohl-Lasher lattice semimicroscopic and the Landau-de Gennes mesoscopic approach. At lateral boundary wall strong planar anchoring is enforced. The cell thicknesshalong thezCartesian coordinate is assumed to be smaller than the characteristic square well sizeR. Using semimicroscopic modelling we restrict to effectively two-dimensional systems which we study in terms of the tensor nematic order parameter. We consider impact of appropriate nanoparticles (NPs) on nematic configuration for cases whereRbecomes comparable to the biaxial order parameter correlation length. In this case a star-like order reconstruction biaxial profile could be formed in absence of NPs. We demonstrate existence of a rich variety of different nematic structures, including topological defects, which are enabled by presence of appropriate NPs.

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