#7505. Nucleation and Growth of Lattice Crystals

October 2026publication date
Proposal available till 19-05-2025
4 total number of authors per manuscript0 $

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Journal’s subject area:
Applied Mathematics;
Engineering (all);
Modeling and Simulation;
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Abstract:
A variational lattice model is proposed to define an evolution of sets from a single point (nucleation) following a criterion of “maximization” of the perimeter. At a discrete level, the evolution has a “checkerboard” structure and its shape is affected by the choice of the norm defining the dissipation term. For every choice of the scales, the convergence of the discrete scheme to a family of expanding sets with constant velocity is proved.
Keywords:
Discrete systems; Geometric evolution; Microstructure; Minimizing movements; Nucleation; Pinning

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