scholarly journals Point defects in two-dimensional colloidal crystals: simulation vs. elasticity theory

Soft Matter ◽  
2009 ◽  
Vol 5 (3) ◽  
pp. 646-659 ◽  
Author(s):  
Wolfgang Lechner ◽  
Christoph Dellago
Keyword(s):  
Elasticity Theory ◽  
Point Defects ◽  
Colloidal Crystals ◽  
Two Dimensional

scholarly journals Displacement fields of point defects in two-dimensional colloidal crystals

2008 ◽  
Vol 20 (40) ◽  
pp. 404202 ◽  
Author(s):  
Wolfgang Lechner ◽  
Elisabeth Schöll-Paschinger ◽  
Christoph Dellago
Keyword(s):  
Point Defects ◽  
Colloidal Crystals ◽  
Two Dimensional ◽  
Displacement Fields

scholarly journals Diffusion of point defects in two-dimensional colloidal crystals

Nature ◽  
2001 ◽  
Vol 413 (6852) ◽  
pp. 147-150 ◽  
Author(s):  
Alexandros Pertsinidis ◽  
X. S. Ling
Keyword(s):  
Point Defects ◽  
Colloidal Crystals ◽  
Two Dimensional

scholarly journals Formation energy and interaction of point defects in two-dimensional colloidal crystals

2007 ◽  
Vol 76 (3) ◽  
Author(s):  
L. C. DaSilva ◽  
L. Cândido ◽  
L. da F. Costa ◽  
Osvaldo N. Oliveira
Keyword(s):  
Point Defects ◽  
Formation Energy ◽  
Colloidal Crystals ◽  
Two Dimensional

scholarly journals Point Defects in Two-Dimensional γ-Phosphorus Carbide

2020 ◽  
pp. 620-626
Author(s):  
Andrey A. Kistanov ◽  
Vladimir R. Nikitenko ◽  
Oleg V. Prezhdo
Keyword(s):  
Point Defects ◽  
Two Dimensional

scholarly journals Shear modulus of two-dimensional colloidal crystals

2002 ◽  
Vol 57 (2) ◽  
pp. 219-225 ◽  
Author(s):  
A Wille ◽  
F Valmont ◽  
K Zahn ◽  
G Maret
Keyword(s):  
Shear Modulus ◽  
Colloidal Crystals ◽  
Two Dimensional

Fabrication of Large-Area Two-Dimensional Colloidal Crystals

2012 ◽  
Vol 51 (25) ◽  
pp. 6117-6120 ◽  
Author(s):  
Jian-Tao Zhang ◽  
Luling Wang ◽  
Daniel N. Lamont ◽  
Sachin S. Velankar ◽  
Sanford A. Asher
Keyword(s):  
Colloidal Crystals ◽  
Two Dimensional ◽  
Large Area

scholarly journals Surface, size and topological effects for some nematic equilibria on rectangular domains

2020 ◽  
Vol 25 (5) ◽  
pp. 1101-1123 ◽  
Author(s):  
Lidong Fang ◽  
Apala Majumdar ◽  
Lei Zhang
Keyword(s):  
Aspect Ratio ◽  
Point Defects ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Bifurcation Diagrams ◽  
Variable Formula ◽  
Limiting Profile ◽  
Switching Dynamics ◽  
Line Defects ◽  
Carry Over

We study nematic equilibria on rectangular domains, in a reduced two-dimensional Landau–de Gennes framework. These reduced equilibria carry over to the three-dimensional framework at a special temperature. There is one essential model variable, [Formula: see text], which is a geometry-dependent and material-dependent variable. We compute the limiting profiles exactly in two distinguished limits: the [Formula: see text] 0 limit relevant for macroscopic domains and the [Formula: see text] limit relevant for nanoscale domains. The limiting profile has line defects near the shorter edges in the [Formula: see text] limit, whereas we observe fractional point defects in the [Formula: see text] 0 limit. The analytical studies are complemented by some bifurcation diagrams for these reduced equilibria as a function of [Formula: see text] and the rectangular aspect ratio. We also introduce the concept of ‘non-trivial’ topologies and study the relaxation of non-trivial topologies to trivial topologies mediated via point and line defects, with potential consequences for non-equilibrium phenomena and switching dynamics.

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