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Phase separation and morphology formation in interacting ternarymixtures under evaporation: Well-posedness and numerical simulation of a non-local evolution system
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0003-4113-0357
Sapienza University of Rome, Italy.
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Mathematics and Computer Science (from 2013).ORCID iD: 0000-0002-1160-0007
2024 (English)In: Nonlinear Analysis: Real World Applications, ISSN 1468-1218, Vol. 77, article id 104039Article in journal (Refereed) Published
Abstract [en]

We study a nonlinear coupled parabolic system with non-local drift terms modeling at the continuum level the inter-species interaction within a ternary mixture that allows the evaporation of one of the species. In the absence of evaporation, the proposed system coincides with the hydrodynamic limit of a stochastic interacting particle system of Blume–Capel-type driven by the Kawasaki dynamics. Similar governing dynamics are found in models used to study morphology formation in the design of organic solar cells, thin adhesive bands, and other applications. We investigate the well-posedness of the target system and present preliminary numerical simulations which incorporate ‘from the top’ evaporation into the model. We employ a finite volumes scheme to construct approximations of the weak solution and illustrate how the evaporation process can affect the shape and connectivity of the evolving-in-time morphologies

Place, publisher, year, edition, pages
Elsevier, 2024. Vol. 77, article id 104039
Keywords [en]
Phase separation, Coupled non-local parabolic system, Ternary mixture, Evaporation, Well-posedness, Numerical simulation
National Category
Metallurgy and Metallic Materials
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:kau:diva-97366DOI: 10.1016/j.nonrwa.2023.104039ISI: 001123401400001Scopus ID: 2-s2.0-85177884656OAI: oai:DiVA.org:kau-97366DiVA, id: diva2:1811298
Funder
Carl Tryggers foundation , CTS 21–1656Available from: 2023-11-12 Created: 2023-11-12 Last updated: 2024-01-03Bibliographically approved

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Lyons, RaineyMuntean, Adrian

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