Code and example simulations of phase-field crystal model (for cone mosaic formation)


This folder contains simulations of an anisotropic phase-field crystal model on a cone

The code.zip folder contains a folder called ‘actually_run_simulations’ that contains the 
code for running simulations. Note that ‘crystal_growth_cone_noflux_anisotropic_fft.m’ is 
the main function for which all others are helper functions. The code.zip folder contains 
a folder called ‘analyze_simulations’ that contains the code for analyzing simulations 
results. Note that ‘calculate_fraction_of_defects_in_gb_from_param_scan_simulations.m’ is 
the main function for counting the number of Y-Junctions in grain boundaries in the 
simulations.

The parameter_scan.zip contains example simulations as we vary the degree of undercooling 
(r) and the magnitude of the noise. Each folder’s name labels the value of both of these 
parameters. Note that we constrain the mean of the density modulation field to be 
ψ_0=-√(-r)/2.

The other_example_simulations.zip folder contains two other examples of phase-field 
crystal on large cone domains. (see Fig. 7D)


To Cite this Work:
Nunley, H., Nagashima, M., Martin, K., Lorenzo Gonzalez, A., Suzuki, S., Norton, D., 
Wong, R., Raymond, P., Lubensky, D. Code and example simulations of phase-field crystal 
model (for cone mosaic formation) [Data set]. University of Michigan - Deep Blue. 
https://doi.org/10.7302/b51c-d913