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A Phase-Field Model of Spiral Dendritic Growth

Royce Kam·Herbert Levine
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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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Royce Kam, Herbert Levine. 1996-05-16. A Phase-Field Model of Spiral Dendritic Growth. https://doi.org/10.1103/physreve.54.2797

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