Nonhexagonal Lattices From a Two Species Interacting System

@article{Luo2020NonhexagonalLF,
  title={Nonhexagonal Lattices From a Two Species Interacting System},
  author={Senping Luo and Xiaofeng Ren and Juncheng Wei},
  journal={SIAM J. Math. Anal.},
  year={2020},
  volume={52},
  pages={1903-1942}
}
A two species interacting system motivated by the density functional theory for triblock copolymers contains long range interaction that affects the two species differently. In a two species periodic assembly of discs, the two species appear alternately on a lattice. A minimal two species periodic assembly is one with the least energy per lattice cell area. There is a parameter $b$ in $[0,1]$ and the type of the lattice associated with a minimal assembly varies depending on $b$. There are… 

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