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Non-equilibrium states of disordered systems: from low-frequency properties of glasses to distribution function of active Ornstein-Uhlenbeck particles

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dc.contributor.authorShakerpoor, Alireza, author
dc.contributor.authorSzamel, Grzegorz, advisor
dc.contributor.authorVan Orden, Alan, committee member
dc.contributor.authorKim, Seonah, committee member
dc.contributor.authorGelfand, Martin, committee member
dc.date.accessioned2022-05-30T10:22:28Z
dc.date.available2022-05-30T10:22:28Z
dc.date.issued2022
dc.description.abstractThis dissertation focuses on stationary and dynamical properties of non-equilibrium systems of disordered matter. In particular, we discuss the correlation between the stability of ultra-stable to moderately stable amorphous solids and the structural fluctuations of the elastic field at low frequencies. We report a strong correlation between the stability and the structural homogeneity which we demonstrate numerically through the calculation of local elastic moduli of the solid. Notably, we do not identify any significant length scale associated with elastic correlations which bears specific implications for the wave attenuation in amorphous solids. In the second part of the dissertation, we shift our focus to the disordered systems of active matter. We derive a formal expression for the stationary probability density function of a tagged active particle in an interacting system of active Ornstein-Uhlenbeck particles. We further identify an effective temperature in the probability density function which allows for the subsequent numerical validation of our theoretical results beyond the linear response regime. We show that the effective temperature defined through the violation of the Einstein relation (or equivalently the fluctuation-dissipation theorem), can predict the tagged active particle's density distribution. Lastly, we derive theoretical expressions for the stationary probability density distribution and the current of a non-interacting active Ornstein-Uhlenbeck particle in a tilted periodic potential. We demonstrate the quantitative agreement of these expressions with our numerical results for small to moderate correlation times of the colored-noise. We further explore the dependence of the diffusive motion on the strength of tilting force. We observe a giant enhancement in the diffusion of the particle which becomes more pronounced with increasing the persistence time.
dc.format.mediumborn digital
dc.format.mediumdoctoral dissertations
dc.identifierShakerpoor_colostate_0053A_17044.pdf
dc.identifier.urihttps://hdl.handle.net/10217/235276
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado State University. Libraries
dc.relation.ispartof2020-
dc.rights.licenseThe material is open access and distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 United States License (https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode).
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
dc.subjectcondensed matter physics
dc.subjectglass physics
dc.subjectstochastic processes
dc.subjectdisordered systems
dc.subjectactive particles
dc.subjectnonequilibrium statistical physics
dc.titleNon-equilibrium states of disordered systems: from low-frequency properties of glasses to distribution function of active Ornstein-Uhlenbeck particles
dc.typeText
dcterms.rights.dplaThis Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).
thesis.degree.disciplineChemistry
thesis.degree.grantorColorado State University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy (Ph.D.)

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