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arXiv · 2305.06449

A crystallization result in two dimensions for a soft disc affine potential

Giacomo Del Nin·Lucia De Luca
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Abstract

We prove finite crystallization for particles in the plane interacting through a soft disc potential, as originally shown by C. Radin \cite{Radin_soft}. We give an alternative proof that relies on the geometric decomposition of the energy proved in \cite{DLF1}, and that is based on showing that any minimizer has at least as many boundary points as the canonical ``spiral'' configuration.

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Giacomo Del Nin, Lucia De Luca. 2023-05-10. A crystallization result in two dimensions for a soft disc affine potential. https://arxiv.org/abs/2305.06449

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