On the location of the critical point of the q-state Potts models on the decorated hypercubic lattice

1983 ◽  
Vol 16 (12) ◽  
pp. 2881-2882 ◽  
Author(s):  
D Hajdukovic
Keyword(s):  
Critical Point ◽  
Potts Models ◽  
Hypercubic Lattice

CRITICAL SURFACE EXPONENTS IN 2-D 10-STATE POTTS MODEL

1992 ◽  
Vol 03 (05) ◽  
pp. 1125-1136
Author(s):  
LEO KÄRKKÄINEN ◽  
KARI RUMMUKAINEN
Keyword(s):  
Low Temperature ◽  
Critical Point ◽  
Critical Exponents ◽  
Critical Surface ◽  
Critical Properties ◽  
Interface Tension ◽  
Potts Models ◽  
Singular Behaviour ◽  
The Difference ◽  
Twisted Boundary Conditions

At low temperature, the Potts models can have interfaces between domains ordered to different directions. We use the difference of periodic and twisted boundary conditions to study planar order-order interfaces. We show that the interface tension, energy and width display critical properties as one approaches the critical point. We measure the critical exponents connected to their power like singular behaviour at the critical point.

scholarly journals Spin-spin critical point correlation functions for the 2D random bond Ising and Potts models

1995 ◽  
Vol 347 (1-2) ◽  
pp. 113-119 ◽  
Author(s):  
Vladimir Dotsenko ◽  
Marco Picco ◽  
Pierre Pujol
Keyword(s):  
Critical Point ◽  
Correlation Functions ◽  
Potts Models ◽  
Point Correlation

scholarly journals Expansion for the critical point of site percolation: the first three terms

2021 ◽  
pp. 1-25
Author(s):  
Markus Heydenreich ◽  
Kilian Matzke
Keyword(s):  
Critical Point ◽  
Lace Expansion ◽  
Site Percolation ◽  
Hypercubic Lattice ◽  
Powers Of 2

Abstract We expand the critical point for site percolation on the d-dimensional hypercubic lattice in terms of inverse powers of 2d, and we obtain the first three terms rigorously. This is achieved using the lace expansion.

The Critical Point Drying Method Applied to Scanning Electron Microscopy of L-929 Cells

1970 ◽  
Vol 28 ◽  
pp. 278-279
Author(s):  
Charles TurnbiLL ◽  
Delbert E. Philpott
Keyword(s):  
Electron Microscopy ◽  
Carbon Dioxide ◽  
Surface Tension ◽  
Critical Point ◽  
Freeze Drying ◽  
Attractive Alternative ◽  
Crystal Formation ◽  
Critical Point Drying ◽  
Time Required ◽  
Scanning Electron

The advent of the scanning electron microscope (SCEM) has renewed interest in preparing specimens by avoiding the forces of surface tension. The present method of freeze drying by Boyde and Barger (1969) and Small and Marszalek (1969) does prevent surface tension but ice crystal formation and time required for pumping out the specimen to dryness has discouraged us. We believe an attractive alternative to freeze drying is the critical point method originated by Anderson (1951; for electron microscopy. He avoided surface tension effects during drying by first exchanging the specimen water with alcohol, amy L acetate and then with carbon dioxide. He then selected a specific temperature (36.5°C) and pressure (72 Atm.) at which carbon dioxide would pass from the liquid to the gaseous phase without the effect of surface tension This combination of temperature and, pressure is known as the "critical point" of the Liquid.

SEM Cold Stage Techniques for the Observation of Vegetative and Floral Apices of Oat (Avena sativa L.) Plants

1977 ◽  
Vol 35 ◽  
pp. 590-591
Author(s):  
B. K. Kirchoff ◽  
L.F. Allard ◽  
W.C. Bigelow
Keyword(s):  
Critical Point ◽  
Avena Sativa ◽  
Substantial Improvement ◽  
Fresh Tissue ◽  
Cold Stage ◽  
Critical Point Drying ◽  
Almost All ◽  
Cell Collapse ◽  
Conductive Paint ◽  
Carbon Based

In attempting to use the SEM to investigate the transition from the vegetative to the floral state in oat (Avena sativa L.) it was discovered that the procedures of fixation and critical point drying (CPD), and fresh tissue examination of the specimens gave unsatisfactory results. In most cases, by using these techniques, cells of the tissue were collapsed or otherwise visibly distorted. Figure 1 shows the results of fixation with 4.5% formaldehyde-gluteraldehyde followed by CPD. Almost all cellular detail has been obscured by the resulting shrinkage distortions. The larger cracks seen on the left of the picture may be due to dissection damage, rather than CPD. The results of observation of fresh tissue are seen in Fig. 2. Although there is a substantial improvement over CPD, some cell collapse still occurs.Due to these difficulties, it was decided to experiment with cold stage techniques. The specimens to be observed were dissected out and attached to the sample stub using a carbon based conductive paint in acetone.

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