2026-09-18T21:09:41Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/930402022-01-13T07:53:58Zcom_1721.1_7582com_1721.1_7581col_1721.1_131023
Troy Van Voorhis.
Xie, Wanqin, Ph. D. Massachusetts Institute of Technology
Massachusetts Institute of Technology. Department of Chemistry.
Massachusetts Institute of Technology. Department of Chemistry
2015-01-20T17:56:57Z
2015-01-20T17:56:57Z
2014
2014
http://hdl.handle.net/1721.1/93040
899244445
Thesis: S.M., Massachusetts Institute of Technology, Department of Chemistry, 2014.
Cataloged from PDF version of thesis.
Includes bibliographical references (pages 44-48).
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.
by Wanqin Xie.
S.M.
48 pages
eng
Massachusetts Institute of Technology
M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.
http://dspace.mit.edu/handle/1721.1/7582
Chemistry.
Free approximation of transport properties in organic system using Stochastic Random Matrix Theory
Thesis
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<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.</Abstract>
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