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 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.

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

Magnetic interactions inα−NaMnO2: Quantum spin-2 system on a spatially anisotropic two-dimensional triangular lattice

2008 ◽  
Vol 77 (2) ◽  
Author(s):  
Andrej Zorko ◽  
Samir El Shawish ◽  
Denis Arčon ◽  
Zvonko Jagličić ◽  
Alexandros Lappas ◽  
...  
Keyword(s):  
Triangular Lattice ◽  
Quantum Spin ◽  
Magnetic Interactions ◽  
Two Dimensional

On the critical behaviour of the two dimensional spin XY model

1982 ◽  
Vol 60 (3) ◽  
pp. 368-372 ◽  
Author(s):  
Jos Rogiers
Keyword(s):  
Critical Point ◽  
Triangular Lattice ◽  
Second Order ◽  
Critical Behaviour ◽  
Transverse Magnetization ◽  
Xy Model ◽  
Two Dimensional ◽  
Exponential Behaviour ◽  
Transformation Methods

Transformation methods are used to analyse the series for the second order fluctuation of the transverse magnetization for the triangular and square lattices. For the triangular lattice some evidence is found for an exponential behaviour of this quantity near the critical point with a tentative estimate for the exponent [Formula: see text].

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