Nucleation and growth of lattice crystals
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 dissipa...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
08 October 2021
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| In: |
Journal of nonlinear science
Year: 2021, Volume: 31, Issue: 6, Pages: 1-63 |
| ISSN: | 1432-1467 |
| DOI: | 10.1007/s00332-021-09745-x |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s00332-021-09745-x
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| Author Notes: | Andrea Braides, Giovanni Scilla, Antonio Tribuzio |
| Summary: | 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. |
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| Item Description: | Gesehen am 18.11.2021 |
| Physical Description: | Online Resource |
| ISSN: | 1432-1467 |
| DOI: | 10.1007/s00332-021-09745-x |