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Title:Scaling and Pattern Formation in Condensed Matter Systems
Author(s):Chan, Pak Yuen
Doctoral Committee Chair(s):Nigel Goldenfeld
Department / Program:Physics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Abstract: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.
Issue Date:2007
Description:158 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2007.
Other Identifier(s):(MiAaPQ)AAI3290194
Date Available in IDEALS:2015-09-25
Date Deposited:2007

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