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Broken Ergodicity and $1/f$ Noise from Finite, Local Entropy Baths


Abstract Fluctuations with a power spectral density depending on frequency as $1/f^\alpha$ ($0<\alpha<2$) are found in a wide class of systems. The number of systems exhibiting $1/f$ noise means it has far-reaching practical implications; it also suggests a possibly universal explanation, or at least a set of shared properties. Given this diversity, there are numerous models of $1/f$ noise. In this dissertation, I summarize my research into models based on linking the characteristic times of fluctuations of a quantity to its multiplicity of states. With this condition satisfied, I show that a quantity will undergo $1/f$ fluctuations and exhibit associated properties, such as slow dynamics, divergence of time scales, and ergodicity breaking. I ... (more)
Created Date 2018
Contributor Davis, Bryce (Author) / Chamberlin, Ralph V (Advisor) / Mauskopf, Philip (Committee member) / Wolf, George (Committee member) / Beckstein, Oliver (Committee member) / Arizona State University (Publisher)
Subject Physics / Fluctuations / Nanothermodynamics / Noise models / Numerical simulations / Statistical mechanics
Type Doctoral Dissertation
Extent 172 pages
Language English
Copyright
Note Doctoral Dissertation Physics 2018
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS


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Description Dissertation/Thesis