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Step motion on crystal surfaces
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This article is published in Journal of Crystal Growth.The article was published on 1968-01-01. It has received 287 citations till now. The article focuses on the topics: Crystal.read more
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Stability Analysis of Large Time‐Stepping Methods for Epitaxial Growth Models
Chuanju Xu,Tao Tang +1 more
TL;DR: The main purpose of this work is to construct and analyze highly stable time discretizations which allow much larger time steps than those of a standard implicit-explicit approach.
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Instabilities in crystal growth by atomic or molecular beams
TL;DR: In this paper, a review of the most frequent instabilities in ballistic growth is presented, which are mostly kinetic (when the desired state cannot be reached because of a lack of time) or thermodynamic (when a desired state is unstable).
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Artificially layered heteropolytypic structures based on SiC polytypes: molecular beam epitaxy, characterization and properties
TL;DR: In this paper, an overview is given of the results and conclusions of recent material research on the MBE growth, characterization and properties of SiC heteropolytypic structures and related materials.
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Thin film epitaxy with or without slope selection
Bo Li,Jian-Guo Liu +1 more
TL;DR: In this paper, two nonlinear diffusion equations for thin film epitaxy, with or without slope selection, are studied and the initial-boundary-value problems for both equations are proven to be well-posed, and the solution regularity is also obtained.
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Characterizing the Stabilization Size for Semi-Implicit Fourier-Spectral Method to Phase Field Equations
Dong Li,Zhonghua Qiao,Tao Tang +2 more
TL;DR: This work removes the Lipschitz assumption on the nonlinearity and proves unconditional energy stability for the stabilized semi-implicit time-stepping methods.