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COMPLEX PHENOMENA IN HETEROGENEOUS MATERIALS
(THREE CASE STUDIES)
by
Ali Reza Mehrabi
A Dissertation Presented to the
FACULTY OF THE GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Fulfillment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(CHEMICAL ENGINEERING)
August 2008
Copyright 2008 Ali Reza Mehrabi
Object Description
| Title | Complex phenomena in heterogeneous materials (three case studies) |
| Author | Mehrabi, Ali Reza |
| Author email | mehrabi@usc.edu |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Chemical Engineering |
| School | Viterbi School of Engineering |
| Date defended/completed | 2008-04-22 |
| Date submitted | 2008 |
| Restricted until | Unrestricted |
| Date published | 2008-07-28 |
| Advisor (committee chair) | Sahimi, Muhammad |
| Advisor (committee member) |
Shing, Katherine Mak, Chiho |
| Abstract | In this dissertation, we study various complex phenomena occurring in heterogeneous materials. Heterogeneous media, i.e., materials that are non-uniform, are in fact abundant both in nature and man-made systems. We first address how we can efficiently characterize complex data obtained from measuring various physical properties in such materials. We later extend this concept to the curved space and relate this to various deformed structures in heterogeneous materials. We also show how we can efficiently coarsen heterogeneous media using wavelet transformation and describe various finite-difference and finite-element algorithms to solve coarsened-transport equations in such systems.; In the second part of this dissertation, we mainly focus on ionic systems and their physical properties. At first, we study two-dimensional ionic fluids and their phase equilibria and investigate the presence of various ionic species, such as dipoles and larger clusters at various temperatures and densities. We also investigate the insulating-to-conducting transition (Kosterlitz-Thouless) and study the changes that happen during this phase transition. Later, we extend this formalism, to ionic fluids in presence of immobile ions (quench ionic disorder) and investigate how the distribution of immobile ions affects various cluster species present in such systems. We finally report the results of diffusion of ions in a quench medium and study how immobile ions affect the motion of mobile ions. |
| Keyword | heterogeneous media; wavelet transformation; curved space; quenched media; ionic media |
| Language | English |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Type | texts |
| Legacy record ID | usctheses-m1425 |
| Rights | Mehrabi, Ali Reza |
| Repository name | Libraries, University of Southern California |
| Repository address | Los Angeles, California |
| Repository email | http://www.usc.edu/isd/libraries/services/ask_a_librarian/email/ |
| Filename | etd-Mehrabi-20080728 |
| Archival file | uscthesesreloadpub_Volume40/etd-Mehrabi-20080728.pdf |
Description
| Title | Page 1 |
| Full text | COMPLEX PHENOMENA IN HETEROGENEOUS MATERIALS (THREE CASE STUDIES) by Ali Reza Mehrabi A Dissertation Presented to the FACULTY OF THE GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (CHEMICAL ENGINEERING) August 2008 Copyright 2008 Ali Reza Mehrabi |
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