A Fokker–Planck reaction model for the epitaxial growth and shape transition of quantum dots

DOI10.1098/RSPA.2017.0308zbMath1404.82076arXiv1704.03457OpenAlexW3103326528WikidataQ52383609 ScholiaQ52383609MaRDI QIDQ4646871

Chaozhen Wei, Brian J. Spencer

Publication date: 28 December 2018

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.03457

zbMATH Keywords

nanostructurescrystal growthquantum dotsdynamical mean field theory

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Vlasov equations (35Q83)

Related Items (1)

A predictor-corrector scheme for solving the time fractional Fokker-Planck equation with uniform and non-uniform meshes

Cites Work

• Evolution of morphology and composition in three-dimensional fully faceted strained alloy crystals
• The Fokker-Planck equation. Methods of solutions and applications.
• Composition evolution of quantum dots during the growth of solid films
• Asymmetric shape transitions of epitaxial quantum dots
• A Numerical Method for Transport Equations with Discontinuous Flux Functions: Application to Mathematical Modeling of Cell Dynamics

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