Numerical study of anomalous diffusion of light in semi-crystalline polymer structures

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dc.contributor.authorKostadinova, Evdokiya
dc.contributor.authorPadgett, Joshua
dc.contributor.authorLiaw, Constanze
dc.contributor.authorMatthews, Lorin
dc.contributor.authorHyde, Truell
dc.date.accessioned2022-03-21T19:19:34Z
dc.date.available2022-03-21T19:19:34Z
dc.date.issued2020-12
dc.description.abstractFrom the spread of pollutants in the atmosphere to the transmission of nutrients across cell membranes, anomalous diffusion processes are ubiquitous in natural systems. The ability to understand and control the mechanisms guiding such processes across various scales has important application to research in materials science, finance, medicine, and energetics. Here we present a numerical study of anomalous diffusion of light through a semicrystalline polymer structure where transport is guided by random disorder and nonlocal interactions. The numerical technique examines diffusion properties in one-dimensional (1D) space via the spectrum of an Anderson-type Hamiltonian with a discrete fractional Laplacian operator (āˆ’Ī”)^s, sāˆˆ(0,2) and a random distribution of disorder. The results show enhanced transport for s<1 (superdiffusion) and enhanced localization for s > 1 (subdiffusion) for most examined cases. An important finding of the present study is that transport can be enhanced at key spatial scales in the subdiffusive case, where all states are normally expected to be localized for a (1D) disordered system.en_US
dc.description.keywordsAnderson localizationen_US
dc.description.keywordsanomalous diffusionen_US
dc.identifier.citationPhysical Review Research, 2(4), 043375, December, 2020en_US
dc.identifier.doi10.1103/PhysRevResearch.2.043375
dc.identifier.urihttps://hdl.handle.net/2104/11774
dc.language.isoenen
dc.publisherAmerican Physical Societyen_US
dc.titleNumerical study of anomalous diffusion of light in semi-crystalline polymer structuresen_US
dc.typeArticleen

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