scholarly journals Triangular lattice model of two-dimensional defect melting

2006 ◽  
Vol 73 (2) ◽  
Author(s):  
Jürgen Dietel ◽  
Hagen Kleinert
Keyword(s):  
Triangular Lattice ◽  
Lattice Model ◽  
Two Dimensional

scholarly journals Connecting Networks for Two-Dimensional Butler Matrices Generating a Triangular Lattice of Beams

2021 ◽  
Vol 1 (2) ◽  
pp. 646-658
Author(s):  
NELSON J. G. FONSECA ◽  
SOPHIE-ABIGAEL GOMANNE ◽  
PILAR CASTILLO-TAPIA ◽  
OSCAR QUEVEDO-TERUEL ◽  
TAKASHI TOMURA ◽  
...  
Keyword(s):  
Triangular Lattice ◽  
Two Dimensional

scholarly journals General up to next-nearest-neighbour elasticity of triangular lattices in three dimensions

2006 ◽  
Vol 462 (2073) ◽  
pp. 2695-2713 ◽  
Author(s):  
Cyril Dubus ◽  
Ken Sekimoto ◽  
Jean-Baptiste Fournier
Keyword(s):  
Blood Cell ◽  
Red Blood Cell ◽  
Triangular Lattice ◽  
Soft Matter ◽  
Rotational Symmetry ◽  
Three Dimensions ◽  
Nearest Neighbour ◽  
Two Dimensional ◽  
Biological Physics ◽  
Crystalline System

We establish the most general form of the discrete elasticity of a two-dimensional triangular lattice embedded in three dimensions, taking into account up to next-nearest-neighbour interactions. Besides crystalline system, this is relevant to biological physics (e.g. red blood cell cytoskeleton) and soft matter (e.g. percolating gels, etc.). In order to correctly impose the rotational invariance of the bulk terms, it turns out to be necessary to take into account explicitly the elasticity associated with the vertices located at the edges of the lattice. We find that some terms that were suspected in the literature to violate rotational symmetry are, in fact, admissible.

Microscopic fracture studies in the two-dimensional triangular lattice

1976 ◽  
Vol 14 (4) ◽  
pp. 1465-1473 ◽  
Author(s):  
William T. Ashurst ◽  
William G. Hoover
Keyword(s):  
Triangular Lattice ◽  
Two Dimensional

scholarly journals Magnetic phases of the quasi-two-dimensional antiferromagnetCuCrO2on a triangular lattice

2016 ◽  
Vol 94 (9) ◽  
Author(s):  
Yu. A. Sakhratov ◽  
L. E. Svistov ◽  
P. L. Kuhns ◽  
H. D. Zhou ◽  
A. P. Reyes
Keyword(s):  
Triangular Lattice ◽  
Two Dimensional ◽  
Magnetic Phases
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