Date of Award:
12-2022
Document Type:
Dissertation
Degree Name:
Doctor of Philosophy (PhD)
Department:
Physics
Committee Chair(s)
Boyd F. Edwards
Committee
Boyd F. Edwards
Committee
Charles Torre
Committee
Jim Wheeler
Committee
Eric Held
Committee
David Farrelly
Abstract
If you heat up some kinds of metals and then cool them down next to a magnet, they will be a magnet when they cool, but if they cool down away from a magnet, they will just be a lump of metal. This is an example of hysteresis and it’s very important for lots of technology. Another example of hysteresis might be a water tower pump that turns on when the tower is nearly empty and keeps going until the tower is nearly full. Whether or not the pump is on when the tower is half full depends on what the condition of the tower was recently. Hysteresis more generally can be thought of as when somethings present condition depends very strongly on what it’s history was. A counter example would be for a gas, when you know it’s temperature and pressure and volume, that’s all that matters.
Many systems with hysteresis are complicated, but this research has found that some very simple arrangements of the simplest magnets can have still have hysteresis. I show this primarily by looking at how the systems move around their resting position.
This research was funded by an NSF grant.
Checksum
ecb9d67cb2dc08e37dccfbe15046c8d2
Recommended Citation
Haugen, Peter T., "Bifurcations and Hysteresis in the Dynamics of Small Populations of Spherical Magnets" (2022). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 8625.
https://digitalcommons.usu.edu/etd/8625
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