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High order model for describing the pattern formation processes on semiconductor surfaces

2014/09/25 by Nikolay A. Kudryashov, Kudryashov, Nikolay A., Pavel N. Ryabov +1
Mathematics · Medicine · Physics and Astronomy · #Differential Equations and Numerical Methods #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #cond-mat.mtrl-sci

paper · pdf · doi:10.48550/arxiv.1409.7639

arxiv created 2014/09/25 · openalex publication_date 2014/09/25 · arxiv updated 2014/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The self-organization processes of nanopattern formation on semiconductor surfaces under low energy ion beam bombardment is considered. The new mathematical model based on nonlinear evolution equation of the sixth order is presented. The pseudo--spectral method for periodic boundary value problem for this equation is discussed. The influence of high order terms on the evolution of the semiconductor surface morphology is studied.

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