The Charge-Group Summation Method for Electrostatics of Periodic Crystals

DOI10.1137/20M1353654OpenAlexW3159379699MaRDI QIDQ4987985

Jeffrey Rauch, L. Ridgway Scott

Publication date: 11 May 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1353654

zbMATH Keywords

potentialelectric fieldelectrostaticsMadelung constantcharge groupferro-electric

Mathematics Subject Classification ID

Crystalline structure (74E15) Statistical mechanics of crystals (82D25) Applications of operator theory in the physical sciences (47N50) Statistical mechanics of ferroelectrics (82D45) Crystals in solids (74N05)

Related Items (1)

The Electrostatic Potential of Periodic Crystals

Cites Work

• Atomistic-to-continuum multiscale modeling with long-range electrostatic interactions in ionic solids
• Internal variables and fine-scale oscillations in micromagnetics
• Mathematical derivation of the continuum limit of the magnetic force between two parts of a rigid crystalline material
• A mathematical approach to protein biophysics
• Convergence of lattice sums and Madelung’s constant
• Lattice Sums Then and Now
• The Electrostatic Potential of Periodic Crystals
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