dc.contributor.advisor | Priour, Donald James, 1972- | eng |
dc.contributor.author | Walker, Benjamin Ashley, 1980- | eng |
dc.date.issued | 2011-05-13 | eng |
dc.date.submitted | 2011 Spring | eng |
dc.description | Title from PDF of the title page, viewed on May 13, 2011 | eng |
dc.description | Thesis advisor: Donald Priour | eng |
dc.description | Vita | eng |
dc.description | Includes bibliographical references (p. 211) | eng |
dc.description | Thesis (M.S.)--Dept. of Physics. University of Missouri--Kansas City, 2011 | eng |
dc.description.abstract | In this thesis, we calculate transport properties of amorphous materials in one,
two, and three dimensions. We take into account site disorder, manifest as a random
variation of the locations of atomic species. We employ a resistor network model as a
theoretical framework for calculating transport characteristics.
The numerical calculations we employ are based on an iterative algorithm used as
an improvement over the direct solution of the relevant linear systems. The Monte Carlo
calculations are used to validate analytical perturbative treatment valid in the bulk limit.
In approaching random resistor networks, we discuss and apply a paradigm based
on the connectivity of nodes instead of mesh currents where the applicability is limited to
a specific set of geometries. We argue that this perspective is very useful in strongly
disordered systems, especially for three-dimensional cases. | eng |
dc.description.tableofcontents | Introduction -- An application of charge conservation and node connectivity -- Periodic resistor networks with current injected at specific nodes -- Iterative algorithm for the numerical calculations of transport characteristics -- A resistor model for transport characteristics in regular lattices -- Introduction of disorder: an analytical perturbative calculation in one dimension -- Random resistor networks in two dimensions: analytical and numerical results -- Three-dimensional geometries: analytical perturbative calculations and numerical results -- Conclusions and suggestions for future research | eng |
dc.format.extent | xv, 212 pages | eng |
dc.identifier.uri | http://hdl.handle.net/10355/10723 | eng |
dc.publisher | University of Missouri--Kansas City | eng |
dc.subject.lcsh | Crystal lattices | eng |
dc.subject.lcsh | Amorphous substances -- Transport properties | eng |
dc.subject.other | Thesis -- University of Missouri--Kansas City -- Physics | eng |
dc.title | Resistance networks as a model for conduction on the nano-scale | eng |
dc.type | Thesis | eng |
thesis.degree.discipline | Physics (UMKC) | eng |
thesis.degree.grantor | University of Missouri--Kansas City | eng |
thesis.degree.level | Masters | eng |
thesis.degree.name | M.S. | eng |