English

A Phase-Field Model of Spiral Dendritic Growth

Condensed Matter 2009-10-28 v1

Abstract

Domains of condensed-phase monolayers of chiral molecules exhibit a variety of interesting nonequilibrium structures when formed via pressurization. To model these domain patterns, we add a complex field describing the tilt degree of freedom to an (anisotropic) complex-phase-field solidification model. The resulting formalism allows for the inclusion of (in general, non-reflection symmetric) interactions between the tilt, the solid-liquid interface, and the bond orientation. Simulations demonstrate the ability of the model to exhibit spiral dendritic growth.

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Cite

@article{arxiv.cond-mat/9605102,
  title  = {A Phase-Field Model of Spiral Dendritic Growth},
  author = {Royce Kam and Herbert Levine},
  journal= {arXiv preprint arXiv:cond-mat/9605102},
  year   = {2009}
}

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text plus Four postscript figure files