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2017 Homogenization and Electronic Polarization Effects in Dielectric Materials
Jiann-Sheng Jiang
Taiwanese J. Math. 21(2): 319-339 (2017). DOI: 10.11650/tjm/7783

Abstract

This paper is devoted to the electronic polarization effect of dielectric materials in plasma physics. Using the two-scale convergence method introduced by G. Nguetseng and G. Allaire, we study the electronic polarization effect induced by two-scale homogenization. The microscopic properties of electrons in dielectric materials are characterized by Vlasov-Poisson system. The homogenized equations describing the mean behaviors of the microscopic equations are obtained. We also derive the modified Gauss law through the polarization effect. From the homogenized Poisson equation, the dielectric function is also acquired.

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Jiann-Sheng Jiang. "Homogenization and Electronic Polarization Effects in Dielectric Materials." Taiwanese J. Math. 21 (2) 319 - 339, 2017. https://doi.org/10.11650/tjm/7783

Information

Published: 2017
First available in Project Euclid: 29 June 2017

zbMATH: 06871320
MathSciNet: MR3632518
Digital Object Identifier: 10.11650/tjm/7783

Subjects:
Primary: 35B27, 35B35

Rights: Copyright © 2017 The Mathematical Society of the Republic of China

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Vol.21 • No. 2 • 2017
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