Simulation and analysis of spinodal decomposition using the Allen-Cahn equation

dc.contributor.authorWest, William
dc.contributor.departmentChalmers tekniska högskola / Institutionen för matematiska vetenskapersv
dc.contributor.examinerGebäck, Tobias
dc.contributor.supervisorGebäck, Tobias
dc.date.accessioned2023-08-29T08:44:51Z
dc.date.available2023-08-29T08:44:51Z
dc.date.issued2023
dc.date.submitted2023
dc.description.abstractSpinodal 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.
dc.identifier.coursecodeMVEX03
dc.identifier.urihttp://hdl.handle.net/20.500.12380/306948
dc.language.isoeng
dc.setspec.uppsokPhysicsChemistryMaths
dc.subjectSpinodal decomposition, phase separation, Allen-Cahn, simulation, modelling, characteristic length, mean curvature, drug release.
dc.titleSimulation and analysis of spinodal decomposition using the Allen-Cahn equation
dc.type.degreeExamensarbete för masterexamensv
dc.type.degreeMaster's Thesisen
dc.type.uppsokH
local.programmeComplex adaptive systems (MPCAS), MSc

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