## 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) 2018 Davis, Bryce (Author) / Chamberlin, Ralph V (Advisor) / Mauskopf, Philip (Committee member) / Wolf, George (Committee member) / Beckstein, Oliver (Committee member) / Arizona State University (Publisher) Physics / Fluctuations / Nanothermodynamics / Noise models / Numerical simulations / Statistical mechanics Doctoral Dissertation 172 pages English Doctoral Dissertation Physics 2018 Graduate College / ASU Library MODS / OAI Dublin Core / RIS