The Development of a Numerical Solver for the Phase Field Crystal Model with Select Applications to Materials Science

Identifier

6132

Author

Kyle Andrew Moats

Date

2018

Document Type

Thesis

Degree Name

Master of Science

Major

Physics

Concentration

General Physics

Committee Chair

Mohamed Laradji

Committee Member

Sanjay Mishra

Committee Member

Ebrahim Asadi

Abstract

The phase field crystal (PFC) model is a conserved continuum model which isused to investigate the phase behavior of materials near the melting point. The simplestPFC model, used in the present work, produces solid, liquid, and lamellar phases. Thesolid phase features a spatially periodic triangular lattice structure much like the crystalstructure of some real materials. The present work focuses on the development of computer codes to solvenumerically the differential equations of the PFC model using a Fourier spaceformulation. These programs are then used in studies of dendritic growth and Ostwaldripening. Results of the Ostwald ripening study are compared to experimental data ofdiffusion-limited growth of solid Sn domains in a liquid solution of Pb and Sn inmicrogravity. Possible next steps for this project are discussed.

Comments

Data is provided by the student.

Library Comment

Dissertation or thesis originally submitted to the local University of Memphis Electronic Theses & dissertation (ETD) Repository.

Recommended Citation

Moats, Kyle Andrew, "The Development of a Numerical Solver for the Phase Field Crystal Model with Select Applications to Materials Science" (2018). Electronic Theses and Dissertations. 1794.
https://digitalcommons.memphis.edu/etd/1794