Nonhexagonal Lattices From a Two Species Interacting System

DOI10.1137/19M1245980zbMath1437.82008arXiv1902.09611MaRDI QIDQ4960819

Senping Luo, Xiaofeng Ren, Wei, Juncheng

Publication date: 23 April 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.09611

zbMATH Keywords

duality propertysquare latticerectangular latticehexagonal latticetriblock copolymerrhombic latticetwo-species interacting systemtwo-species periodic assembly of discs

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Developmental biology, pattern formation (92C15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Dedekind eta function, Dedekind sums (11F20) Computational density functional analysis in statistical mechanics (82M36)

Related Items (10)

On minima of difference of theta functions and application to hexagonal crystallization ⋮ The BCC Lattice in a Long-Range Interaction System ⋮ Effect of periodic arrays of defects on lattice energy minimizers ⋮ On the optimality of the rock-salt structure among lattices with charge distributions ⋮ Crystallization to the square lattice for a two-body potential ⋮ On the regular part of the Bloch Green's function for the Laplacian: analytical formula and critical points ⋮ Theta Functions and Optimal Lattices for a Grid Cells Model ⋮ Disc-disc structure in a two-species interacting system on a flat torus ⋮ On minima of sum of theta functions and application to Mueller-Ho conjecture ⋮ On energy ground states among crystal lattice structures with prescribed bonds

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