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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