Recurrent approach to effective material properties with application to anisotropic binarized random fields
| Autor: | Matthew D. Arnold, Marc A. Gali |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Physics
Permittivity Condensed Matter - Materials Science Random field Gaussian Ensemble averaging Materials Science (cond-mat.mtrl-sci) FOS: Physical sciences Disordered Systems and Neural Networks (cond-mat.dis-nn) 02 engineering and technology Condensed Matter - Disordered Systems and Neural Networks 021001 nanoscience & nanotechnology Ellipse 01 natural sciences symbols.namesake Exact solutions in general relativity 0103 physical sciences symbols Statistical physics 010306 general physics 0210 nano-technology Series expansion Anisotropy Optics (physics.optics) Physics - Optics |
| Popis: | © 2019 American Physical Society. Building on the foundational work of Brown, Milton, and Torquato, we present a tractable approach to analyze the effective permittivity of anisotropic two-phase structures. This methodology accounts for successive dipolar interactions, providing a recurrent series expansion of the effective permittivity to arbitrary order. Within this framework, we also demonstrate a progressive method to determine tight bounds that converge toward the exact solution. We illustrate the utility of these methods by using ensemble averaging to determine the microstructural parameters of anisotropic level-cut Gaussian fields. We find that the depolarization factor of these structures is equivalent to that of an isolated ellipse with the same stretching ratio, and we discuss the contribution of the fourth-order term to the exact anisotropy. |
| Databáze: | OpenAIRE |
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