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Nigel Goldenfeld Chan, Pak Yuen 2015-09-25T20:03:00Z 2015-09-25T20:03:00Z 10000-01-01 2007 2007 Finally, I study multiscale patterns in polycrystalline materials, with the phase field crystal (PFC) model. I first show that the complex amplitudes representation incorporates the correct form of nonlinear elasticity. I then analyze the plastic properties of the model by applying a shearing force. Dislocation avalanches, which resembling the scaling behavior in driven ferromagnetic, are observed. Critical exponents are extracted from power laws extending over 5 decades. I extend the PFC model to accommodate actual atomic configurations and vacancies. I use the extended PFC model to simulate a liquid and reproduce the correct form of the two-point correlation functions. Finally, I extend the PFC model to describing binary systems. The resulting theory describes both atomic hopping events on microscopic scales and diffusion on macroscopic scales. It also reproduces the activated Arrhenius form of the diffusion coefficient. Made available in DSpace on 2015-09-25T20:03:00Z (GMT). No. of bitstreams: 2 license.txt: 4848 bytes, checksum: 96035ab3f5e1c23cc7138a224ce498bd (MD5) 3290194.pdf: 3520370 bytes, checksum: 6525e865966bdcbedc307a2d15bf3291 (MD5) Previous issue date: 2007 Embargo set by: Seth Robbins for item 81829 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs U of I Only 158 p. Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007. http://hdl.handle.net/2142/80547 (MiAaPQ)AAI3290194 eng Geophysics Scaling and Pattern Formation in Condensed Matter Systems text Physics Physics University of Illinois at Urbana-Champaign Dissertation Ph.D.