Self-organized fine-tuned response in a driven spin glass
Name
1252628503-MIT.pdf
Size
1.87 MB
Format
Adobe PDF
Checksum (MD5)
1cb57521ee46ac8428af1acff262014b
Author(s)
Gold, Jacob Mitchell.
Advisor(s)
Jeremy England.
Date Issued
2021
Publisher
Massachusetts Institute of Technology
Abstract
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.
Description
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).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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.
Persistent DSpace Link
