Dense two-dimensional classical Coulomb gas on a triangular lattice

1991 ◽  
Vol 66 (16) ◽  
pp. 2100-2103 ◽  
Author(s):  
Jong-Rim Lee ◽  
S. Teitel
Keyword(s):  
Triangular Lattice ◽  
Coulomb Gas ◽  
Two Dimensional ◽  
Classical Coulomb Gas

First-order transition in the dense two-dimensional classical Coulomb gas

1993 ◽  
Vol 48 (16) ◽  
pp. 12304-12307 ◽  
Author(s):  
Guang-Ming Zhang ◽  
Hong Chen ◽  
Xiang Wu
Keyword(s):  
Coulomb Gas ◽  
Order Transition ◽  
Two Dimensional ◽  
First Order ◽  
First Order Transition ◽  
Classical Coulomb Gas

scholarly journals Properties of a Two-Dimensional Classical Coulomb Gas

1980 ◽  
Vol 63 (2) ◽  
pp. 402-414 ◽  
Author(s):  
I. Nakayama ◽  
T. Tsuneto
Keyword(s):  
Coulomb Gas ◽  
Two Dimensional ◽  
Classical Coulomb Gas

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.

Sign in / Sign up

Export Citation Format

Share Document