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On crystallization in the plane for pair potentials with an arbitrary norm

math-ph · 2024-07-30 · unverdicted · novelty 7.0

Crystallization holds for the sticky disk potential under arbitrary norms, with minimizers being triangular or square lattice patches up to affine transform; numerics for p-norms reveal a new phase transition in preferred lattices for Lennard-Jones and Epstein zeta.

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  • On crystallization in the plane for pair potentials with an arbitrary norm math-ph · 2024-07-30 · unverdicted · none · ref 27

    Crystallization holds for the sticky disk potential under arbitrary norms, with minimizers being triangular or square lattice patches up to affine transform; numerics for p-norms reveal a new phase transition in preferred lattices for Lennard-Jones and Epstein zeta.