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2002 Screening of an applied electric field inside a metallic layer described by the Thomas-Fermi-von Weizsäcker model
X. Blanc, R. Monneau
Adv. Differential Equations 7(7): 847-876 (2002). DOI: 10.57262/ade/1356651708

Abstract

We are interested in the effect of a constant electric field on the electronic structure of a crystal. We model it by a density-functional theory, and derive from this microscopic model macroscopic features of the system by letting the ratio $\varepsilon $ between atomic spacing and the size of the crystal go to zero. Although many aspects are disregarded in this approach, we show that the effect of the electric field is negligible inside the crystal and estimate its vanishing rate with respect to the distance from the boundary of the crystal.

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X. Blanc. R. Monneau. "Screening of an applied electric field inside a metallic layer described by the Thomas-Fermi-von Weizsäcker model." Adv. Differential Equations 7 (7) 847 - 876, 2002. https://doi.org/10.57262/ade/1356651708

Information

Published: 2002
First available in Project Euclid: 27 December 2012

zbMATH: 1174.82342
MathSciNet: MR1895168
Digital Object Identifier: 10.57262/ade/1356651708

Subjects:
Primary: 82D20
Secondary: 35A15 , 35J20 , 35J50 , 35Q40 , 82D35

Rights: Copyright © 2002 Khayyam Publishing, Inc.

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Vol.7 • No. 7 • 2002
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