The Resource Resistance networks as a model for conduction on the nano-scale, Benjamin Ashley Walker, (electronic resource)

Resistance networks as a model for conduction on the nano-scale, Benjamin Ashley Walker, (electronic resource)

Label
Resistance networks as a model for conduction on the nano-scale
Title
Resistance networks as a model for conduction on the nano-scale
Statement of responsibility
Benjamin Ashley Walker
Creator
Contributor
Thesis advisor
Subject
Genre
Language
eng
Summary
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
Cataloging source
UMK
http://library.link/vocab/creatorDate
1980-
http://library.link/vocab/creatorName
Walker, Benjamin Ashley
Degree
M.S.
Dissertation year
2011.
Granting institution
Dept. of Physics. University of Missouri-Kansas City
Illustrations
illustrations
Index
no index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
  • theses
http://library.link/vocab/relatedWorkOrContributorDate
1972-
http://library.link/vocab/relatedWorkOrContributorName
Priour, Donald James
http://library.link/vocab/subjectName
  • Amorphous substances
  • Crystal lattices
Label
Resistance networks as a model for conduction on the nano-scale, Benjamin Ashley Walker, (electronic resource)
Instantiates
Publication
Note
  • "A thesis in physics."
  • Advisor: Donald Priour
  • Vita
Antecedent source
not applicable
Bibliography note
Includes bibliographical references (page 211)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
800728186
Dimensions
unknown
Extent
1 online resource (227 pages)
File format
one file format
Form of item
online
Level of compression
mixed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Specific material designation
remote
System control number
(OCoLC)800728186
System details
  • The full text of the thesis is available as an Adobe Acrobat .pdf file; Adobe Acrobat Reader required to view the file
  • Mode of access: World Wide Web
Label
Resistance networks as a model for conduction on the nano-scale, Benjamin Ashley Walker, (electronic resource)
Publication
Note
  • "A thesis in physics."
  • Advisor: Donald Priour
  • Vita
Antecedent source
not applicable
Bibliography note
Includes bibliographical references (page 211)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
black and white
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
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
Control code
800728186
Dimensions
unknown
Extent
1 online resource (227 pages)
File format
one file format
Form of item
online
Level of compression
mixed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations (some color).
Quality assurance targets
not applicable
Specific material designation
remote
System control number
(OCoLC)800728186
System details
  • The full text of the thesis is available as an Adobe Acrobat .pdf file; Adobe Acrobat Reader required to view the file
  • Mode of access: World Wide Web

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