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dc.contributor.advisorJeremy England.en_US
dc.contributor.authorGold, Jacob Mitchell.en_US
dc.contributor.otherMassachusetts Institute of Technology. Department of Mathematics.en_US
dc.date.accessioned2021-05-25T18:22:19Z
dc.date.available2021-05-25T18:22:19Z
dc.date.copyright2021en_US
dc.date.issued2021en_US
dc.identifier.urihttps://hdl.handle.net/1721.1/130835
dc.descriptionThesis: Ph. D., Massachusetts Institute of Technology, Department of Mathematics, February, 2021en_US
dc.descriptionCataloged from the official PDF of thesis.en_US
dc.descriptionIncludes bibliographical references (pages 83-89).en_US
dc.description.abstractIn 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.en_US
dc.description.statementofresponsibilityby Jacob Mitchell Gold.en_US
dc.format.extent89 pagesen_US
dc.language.isoengen_US
dc.publisherMassachusetts Institute of Technologyen_US
dc.rightsMIT 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.en_US
dc.rights.urihttp://dspace.mit.edu/handle/1721.1/7582en_US
dc.subjectMathematics.en_US
dc.titleSelf-organized fine-tuned response in a driven spin glassen_US
dc.typeThesisen_US
dc.description.degreePh. D.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Mathematicsen_US
dc.identifier.oclc1252628503en_US
dc.description.collectionPh.D. Massachusetts Institute of Technology, Department of Mathematicsen_US
dspace.imported2021-05-25T18:22:19Zen_US
mit.thesis.degreeDoctoralen_US
mit.thesis.departmentMathen_US


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