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[Formula: see text] Law in the Cubic Lattice

We investigate the Edge-Isoperimetric Problem (EIP) for sets with n elements of the cubic lattice by emphasizing its relation with the emergence of the Wulff shape in the crystallization problem. Minimizers [Formula: see text] of the edge perimeter are shown to deviate from a corresponding cubic Wul...

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Bibliographic Details
Published in:J Stat Phys
Main Authors: Mainini, Edoardo, Piovano, Paolo, Schmidt, Bernd, Stefanelli, Ulisse
Format: Artigo
Language:Inglês
Published: Springer US 2019
Subjects:
Online Access:https://ncbi.nlm.nih.gov/pmc/articles/PMC6733839/
https://ncbi.nlm.nih.gov/pubmed/31555015
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1007/s10955-019-02350-z
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