Free approximation of transport properties in organic system using Stochastic Random Matrix Theory
Name
899244445-MIT.pdf
Description
Full printable version
Size
5.65 MB
Format
Adobe PDF
Checksum (MD5)
a726f1d4ba8a29aae205e82b65ada815
Author(s)
Xie, Wanqin, Ph. D. Massachusetts Institute of Technology
Advisor(s)
Troy Van Voorhis.
Date Issued
2014
Publisher
Massachusetts Institute of Technology
Abstract
The proposed research is a study and application of Stochastic analysis- Random Matrix Theory(RMT) to fast calculate the transport properties of large static systems with relatively large disorder in mesoscopic size. As a major topic of Random Matrix Theory(RMT), free convolution managed to approximate the distribution of eigenvalues in an Anderson Model.So the next step is trying to expand RMT to approximate other quantities, such as transmission probability, conductivity and etc. Due to the eigenvectors' shifts, RMT works well only for small disorder. System with larger disorder requires to take in account of the changes in eigenvectors directly or through other approximations of the eigenvectors.
Description
Thesis: S.M., Massachusetts Institute of Technology, Department of Chemistry, 2014.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 44-48).
Subjects
Chemistry.
MIT Department
Massachusetts Institute of Technology. Department of Chemistry
Terms of Use
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