Sponsor
Portland State University. Department of Physics
First Advisor
Erik Bodegom
Term of Graduation
Summer 1992
Date of Publication
8-14-1992
Document Type
Thesis
Degree Name
Master of Science (M.S.) in Physics
Department
Physics
Language
English
Subjects
Surface chemistry -- Mathematical models, Surface chemistry -- Computer programs, Surfaces (Physics), Liquids
DOI
10.15760/etd.6100
Physical Description
1 online resource (2, 44 pages)
Abstract
This paper presents an approach to modeling a binary mixture near a surf ace. The approach used is based on statistical mechanics. The Cluster Variation (CV) method is used to solve an Ising-like model with a cluster size of two (neighboring lattice points). The free energy of the system is expressed in terms of the probabilities of occurrences of particular clusters. The CV method is first developed for a homogeneous system which leads to a set of three non-linear partial differential equations. The surface boundary is then introduced and the CV method is developed for this system which leads to a set of seven non-linear partial differential equations for each layer. In the calculations, the Natural Iteration (NI) method is introduced as a method of solving these non-linear partial differential equations. The steps involved in implementing the NI method are outlined. The number of layers is chosen to be 32. Concentration profiles are calculated for the binary system using the NI method and the results are discussed.
Rights
In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/ This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
Persistent Identifier
http://archives.pdx.edu/ds/psu/24353
Recommended Citation
Dunn, Patrick, "Binary Mixtures Near Surfaces" (1992). Dissertations and Theses. Paper 4216.
https://doi.org/10.15760/etd.6100
Comments
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