Spherical Gaussians: An intuitive method for creating complex anisotropies in interface energies for the phase field method

Jacob L. Bair; Nikhil S. Deshmukh; David G. Abrecht

doi:10.1016/j.commatsci.2020.110126

Spherical Gaussians: An intuitive method for creating complex anisotropies in interface energies for the phase field method

Jacob L. Bair, Nikhil S. Deshmukh, David G. Abrecht

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

The Phase Field Method requires continuous functions to control interface energies between phases. We have developed a method for phase field modeling where interface energies are described by spherical gaussians, a set of continuous functions which can simulate a wide variety of complex anisotropies. We demonstrate the use of the technique to produce a wide array of crystal geometries, including rods, hexagonal rods, cubes, and cubic dendrites, using the native properties of spherical gaussians to create specific interface energies throughout the full solid angle of an energy surface. Parameters controlling the sharpness of minima are shown to have a significant effect on morphology.

Original language	English
Article number	110126
Journal	Computational Materials Science
Volume	188
DOIs	https://doi.org/10.1016/j.commatsci.2020.110126
State	Published - Feb 15 2021
Externally published	Yes

Funding

This project was funded by the Countering Weapons of Mass Destruction (CWMD) office within the Department of Homeland Security (DHS). Specifically, the authors would like to thank Sandra Gogol and Tim Ashenfelter for their diligence in providing support for this effort.

Funders	Funder number
Countering Weapons of Mass Destruction
U.S. Department of Homeland Security

Keywords

Anisotropy
Interface energy
Phase field model
Spherical Gaussian

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10.1016/j.commatsci.2020.110126

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abstract = "The Phase Field Method requires continuous functions to control interface energies between phases. We have developed a method for phase field modeling where interface energies are described by spherical gaussians, a set of continuous functions which can simulate a wide variety of complex anisotropies. We demonstrate the use of the technique to produce a wide array of crystal geometries, including rods, hexagonal rods, cubes, and cubic dendrites, using the native properties of spherical gaussians to create specific interface energies throughout the full solid angle of an energy surface. Parameters controlling the sharpness of minima are shown to have a significant effect on morphology.",

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Spherical Gaussians: An intuitive method for creating complex anisotropies in interface energies for the phase field method

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Keywords

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