We review some recent results on crystallization in two dimensions for pairwise interaction energies adopting a variational approach.We discuss the behavior of minimizers and quasi-minimizers of the Heitmann-Radin sticky disc model and we see how this model can be enriched in order to deal with collective behavior for systems of oriented particles.

Some Recent Results on 2D Crystallization for Sticky Disc Models and Generalizations for Systems of Oriented Particles

Luca, Lucia De
2022

Abstract

We review some recent results on crystallization in two dimensions for pairwise interaction energies adopting a variational approach.We discuss the behavior of minimizers and quasi-minimizers of the Heitmann-Radin sticky disc model and we see how this model can be enriched in order to deal with collective behavior for systems of oriented particles.
2022
Istituto Applicazioni del Calcolo ''Mauro Picone''
9783031044953
9783031044960
crystallization
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/511508
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