Simulation and analysis of spinodal decomposition using the Allen-Cahn equation
Typ
Examensarbete för masterexamen
Master's Thesis
Master's Thesis
Program
Complex adaptive systems (MPCAS), MSc
Publicerad
2023
Författare
West, William
Modellbyggare
Tidskriftstitel
ISSN
Volymtitel
Utgivare
Sammanfattning
Spinodal decomposition is a type of phase separation that can occur for certain
compositions of mixtures. If one of the phases is then resolved, the result is a
labyrinthine structure that can advantageously be used to transport material, such
as medicine through tablets. Simulations of spinodal decomposition based on the
Allen-Cahn equation were run with a variety of parameters to gather time-based
data. Methods were then developed to analyse characteristics from the data, both in
2D and 3D. The results were compared to those from previous physical experiments,
with some accuracy. Finally, the effects of boundary conditions on spatial variations
and phase patterns were studied.
Beskrivning
Ämne/nyckelord
Spinodal decomposition, phase separation, Allen-Cahn, simulation, modelling, characteristic length, mean curvature, drug release.