Structural and Topological Contributions to the Electronic Properties of Inhomogeneous Media (Fractal, Electrode, Impedance)

Author

Michael Kramer, The Graduate Center, City University of New YorkFollow

Date of Degree

1986

Document Type

Dissertation

Degree Name

Ph.D.

Program

Physics

Advisor

Micha Tomkiewicz

Committee Members

Morrel Cohen

Myriam Sarachik

Fred Pollak

Yedidyah Langsam

Subject Categories

Physics

Abstract

Recent theoretical developments in the theory of inhomogeneous media have enabled Physicists to explore various properties of random composites. We demonstrate how these techniques can be applied to the treatment of electrochemical systems, specifically porous structures. A Random Network Model is introduced to represent the porous electrode immersed in electrolyte, and using numerical simulation the a.c. impedance behavior of the system is explored. We explore how various compositional and structural parameters contribute to the electrical properties of the system. The topology of our model is analyzed, and the effect of fractal structures on impedance behavior is considered. To examine the electrode topology during electrode operation, another model is introduced, the dissolution-precipitation model. We show how the model correctly predicts the concentration profile of dissolved particles in solution and how the reaction produces fractal structures on the surface of the model electrode.

Comments

Digital reproduction from the UMI microform.

Recommended Citation

Kramer, Michael, "Structural and Topological Contributions to the Electronic Properties of Inhomogeneous Media (Fractal, Electrode, Impedance)" (1986). CUNY Academic Works.
https://academicworks.cuny.edu/gc_etds/3890