The 3-dimensional eight vertex model and the proton-proton correlation functions in ice

1972 ◽  
Vol 10 (10) ◽  
pp. 967-970 ◽  
Author(s):  
J. Villain
Keyword(s):  
Correlation Functions ◽  
Vertex Model ◽  
Proton Proton ◽  
3 Dimensional

scholarly journals Free field construction for correlation functions of the eight-vertex model

1998 ◽  
Vol 516 (3) ◽  
pp. 623-651 ◽  
Author(s):  
Michael Lashkevich ◽  
Yaroslav Pugai
Keyword(s):  
Correlation Functions ◽  
Free Field ◽  
Vertex Model

scholarly journals Six-vertex Models and the GUE-corners Process

2018 ◽  
Vol 2020 (6) ◽  
pp. 1794-1881
Author(s):  
Evgeni Dimitrov
Keyword(s):  
Correlation Functions ◽  
Probability Distributions ◽  
Gibbs Measures ◽  
Descent Method ◽  
Steepest Descent Method ◽  
Difference Operators ◽  
Vertex Model ◽  
Gaussian Unitary Ensemble ◽  
Vertex Models ◽  
Higher Spin

Abstract We consider a class of probability distributions on the six-vertex model, which originates from the higher spin vertex models of [13]. We define operators, inspired by the Macdonald difference operators, which extract various correlation functions, measuring the probability of observing different arrow configurations. For the class of models we consider, the correlation functions can be expressed in terms of multiple contour integrals, which are suitable for asymptotic analysis. For a particular choice of parameters we analyze the limit of the correlation functions through the steepest descent method. Combining this asymptotic statement with some new results about Gibbs measures on Gelfand–Tsetlin cones and patterns, we show that the asymptotic behavior of our six-vertex model near the boundary is described by the Gaussian Unitary Ensemble-corners process.

scholarly journals Angular dependence in proton-proton correlation functions in central40Ca + 40Ca and48Ca + 48Ca reactions

2012 ◽  
Vol 85 (1) ◽  
Author(s):  
V. Henzl ◽  
M. A. Kilburn ◽  
Z. Chajęcki ◽  
D. Henzlova ◽  
W. G. Lynch ◽  
...  
Keyword(s):  
Angular Dependence ◽  
Correlation Functions ◽  
Proton Proton

MEASUREMENT OF THE PROTON-PROTON CORRELATION FUNCTION FROM THE BREAK-UP OF 22Mg AND 20Ne

2010 ◽  
Vol 19 (08n09) ◽  
pp. 1823-1828 ◽  
Author(s):  
X. Y. SUN ◽  
J. G. CHEN ◽  
D. Q. FANG ◽  
Y. G. MA ◽  
X. Z. CAI ◽  
...  
Keyword(s):  
Correlation Function ◽  
Excited States ◽  
Correlation Functions ◽  
Center Of Mass ◽  
Cluster Decay ◽  
Proton Proton ◽  
Fragment Separator ◽  
Angular Correlations ◽  
Momentum Correlation ◽  
Projectile Fragment

An experiment of 22 Mg and 20 Ne beams bombarding on a 12 C target at an energy of 60~70 A MeV has been performed at the RIKEN projectile fragment separator (RIPS) in the RIKEN Ring Cyclotron Facility to study the two-proton correlated emission from 22 Mg and 20 Ne excited states. The two-protons momentum correlation functions have been obtained for 22 Mg and 20 Ne , respectively. The trajectories of the 22 Mg decayed products (20 Ne + p + p ) were also measured to get the angular correlations between the two protons in Center of Mass of decaying system by relativistic-kinematics reconstruction. The results exhibit that 22 Mg has the features of 2 He cluster decay mechanism.

scholarly journals Correlation Functions of the Ising Model with Multisite Interaction on the Husimi Lattice

1998 ◽  
Vol 12 (23) ◽  
pp. 2349-2358 ◽  
Author(s):  
N. S. Ananikian ◽  
R. G. Ghulghazaryan ◽  
N. Sh. Izmailian
Keyword(s):  
Ising Model ◽  
Fixed Points ◽  
Coordination Number ◽  
Recurrence Relation ◽  
Correlation Functions ◽  
Nearest Neighbor ◽  
Bethe Lattice ◽  
Vertex Model ◽  
Analytical Expression ◽  
Husimi Lattice

We consider a general spin-1/2 Ising model with multisite interaction on the Husimi lattice with the coordination number q and derive an analytical expression of correlation functions for stable fixed points of the corresponding recurrence relation. We show that for q=2 our model transforms to the two-state vertex model on the Bethe lattice with q=3 and for the case q=3, with only nearest neighbor interactions, we transform our model to the corresponding model on the Bethe lattice with q=3, using the Yang–Baxter equations.

Boundary Correlation Functions of the gl (1|1) Supersymmetric Vertex Model

2008 ◽  
Vol 50 (1) ◽  
pp. 17-22 ◽  
Author(s):  
Zhang Chen-Jun ◽  
Zhou Jian-Hua ◽  
Yue Rui-Hong
Keyword(s):  
Correlation Functions ◽  
Vertex Model
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