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Modelling surfactant systems out of thermodynamic equlibrium

Abstract:

We develop and explore a simple mathematical model describing the behavior of surfactants in situations where molecules adsorbed at an air-liquid interface are not in thermodynamic equilibrium with those just below the surface. Our model incorporates a gradient flow which links the flux of molecules to/from the surface with the change in energy that occurs through this process. We use our model to examine three key situations: adsorption onto a clean surface, desorption into a clean bulk liqu...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1137/18M1216006

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0003-4568-5261
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
Publisher:
Society for Industrial and Applied Mathematics Publisher's website
Journal:
SIAM Journal on Applied Mathematics Journal website
Volume:
79
Issue:
3
Pages:
1098–1123
Publication date:
2019-06-20
Acceptance date:
2019-04-19
DOI:
EISSN:
1095-712X
ISSN:
0036-1399
Pubs id:
pubs:993788
URN:
uri:f0dc7d80-bc5a-41ad-bbb2-9211b7e571b3
UUID:
uuid:f0dc7d80-bc5a-41ad-bbb2-9211b7e571b3
Local pid:
pubs:993788

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