2026-09-20T22:38:20Zhttps://dspace.mit.edu/server/oai/requestoai:dspace.mit.edu:1721.1/1308352026-06-16T18:55:30Zcom_1721.1_7582com_1721.1_7581col_1721.1_131022
Jeremy England.
Gold, Jacob Mitchell.
Massachusetts Institute of Technology. Department of Mathematics.
Massachusetts Institute of Technology. Department of Mathematics
2021-05-25T18:22:19Z
2021-05-25T18:22:19Z
2021
2021
https://hdl.handle.net/1721.1/130835
1252628503
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, February, 2021
Cataloged from the official PDF of thesis.
Includes bibliographical references (pages 83-89).
In this thesis, I investigate the principles that that can be used to predict the behavior of a many-bodied system when an external drive is applied. I consider a spin glass as a prototypical model of such a system, and investigate these principles through simulation. I find that spins differentiate into slow spins which decouple from the drive and fast spins which couple more strongly to the drive, resulting in macroscopic quantities like work absorption rate and internal energy decreasing as compared to the near-equilibrium distribution. Which spins fall into which categories is specific to a particular realization of the external drive; changing to another drive changes which spins are fast and which are slow, revealing a drive-specific adaptation. I investigate limits on the memory of the system, and demonstrate the system's capability to identify changes in real-world images.
by Jacob Mitchell Gold.
Ph.D.
Ph.D. Massachusetts Institute of Technology, Department of Mathematics
89 pages
eng
Massachusetts Institute of Technology
MIT theses may be protected by copyright. Please reuse MIT thesis content according to the MIT Libraries Permissions Policy, which is available through the URL provided.
http://dspace.mit.edu/handle/1721.1/7582
Mathematics.
Self-organized fine-tuned response in a driven spin glass
Thesis
application/pdf
2021-05-25T18:22:19Z
Publication
Doctoral
Math
unknown
unknown
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