Self-organized fine-tuned response in a driven spin glass
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, February, 2021
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| Other Authors: | |
| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2021
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| Online Access: | https://hdl.handle.net/1721.1/130835 |
| _version_ | 1826197948496609280 |
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| author | Gold, Jacob Mitchell. |
| author2 | Jeremy England. |
| author_facet | Jeremy England. Gold, Jacob Mitchell. |
| author_sort | Gold, Jacob Mitchell. |
| collection | MIT |
| description | Thesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, February, 2021 |
| first_indexed | 2024-09-23T10:56:14Z |
| format | Thesis |
| id | mit-1721.1/130835 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T10:56:14Z |
| publishDate | 2021 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/1308352021-05-26T03:26:38Z Self-organized fine-tuned response in a driven spin glass Gold, Jacob Mitchell. Jeremy England. Massachusetts Institute of Technology. Department of Mathematics. Massachusetts Institute of Technology. Department of Mathematics Mathematics. 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 2021-05-25T18:22:19Z 2021-05-25T18:22:19Z 2021 2021 Thesis https://hdl.handle.net/1721.1/130835 1252628503 eng 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 89 pages application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. Gold, Jacob Mitchell. Self-organized fine-tuned response in a driven spin glass |
| title | Self-organized fine-tuned response in a driven spin glass |
| title_full | Self-organized fine-tuned response in a driven spin glass |
| title_fullStr | Self-organized fine-tuned response in a driven spin glass |
| title_full_unstemmed | Self-organized fine-tuned response in a driven spin glass |
| title_short | Self-organized fine-tuned response in a driven spin glass |
| title_sort | self organized fine tuned response in a driven spin glass |
| topic | Mathematics. |
| url | https://hdl.handle.net/1721.1/130835 |
| work_keys_str_mv | AT goldjacobmitchell selforganizedfinetunedresponseinadrivenspinglass |