scholarly journals Adaptive Second-Order Crank--Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models

2020 ◽  
Vol 42 (3) ◽  
pp. B738-B760 ◽  
Author(s):  
Bingquan Ji ◽  
Hong-lin Liao ◽  
Yuezheng Gong ◽  
Luming Zhang
Keyword(s):  
Epitaxial Growth ◽  
Molecular Beam ◽  
Growth Models ◽  
Second Order ◽  
Molecular Beam Epitaxial ◽  
Time Stepping ◽  
Molecular Beam Epitaxial Growth ◽  
Crank Nicolson

scholarly journals The operator splitting method with semi-implicit spectral deferred correction for molecular beam epitaxial growth models

2020 ◽  
Vol 14 ◽  
pp. 174830262096235
Author(s):  
Zhifeng Weng ◽  
Yuping Zeng ◽  
Shuying Zhai
Keyword(s):  
Epitaxial Growth ◽  
Molecular Beam ◽  
Growth Models ◽  
Operator Splitting ◽  
Splitting Method ◽  
Fourier Spectral Method ◽  
Deferred Correction ◽  
Molecular Beam Epitaxial ◽  
Molecular Beam Epitaxial Growth ◽  
Spectral Deferred Correction

This paper presents a high order time discretization method by combining the time splitting method with semi-implicit spectral deferred correction method to simulate the molecular beam epitaxial growth models with and without slope selection. The original problem is split into linear and nonlinear subproblems. The Fourier spectral method is adopted for the linear part, and a second-order SSP-RK method together with the Fourier spectral method is used for the nonlinear part. The scheme takes advantage of avoiding nonlinear iteration. However, the temporal error is dominated by the operator splitting error, which is second order for Strang splitting. In order to achieve higher order numerical algorithm in time, we consider a semi-implicit spectral deferred correction (SDC) method to reduce the splitting error. Specifically, the temporal order is increased by one with each correction loop in the SDC framework. Numerical results are given to illustrate that the high order temporal algorithm is a practical, accurate and efficient simulation tool for molecular beam epitaxial growth models.

Molecular-beam-epitaxial growth of Ga1−xInxSb on GaAs substrates

1997 ◽  
Vol 175-176 ◽  
pp. 883-887 ◽  
Author(s):  
J.H. Roslund ◽  
O. Zsebők ◽  
G. Swenson ◽  
T.G. Andersson
Keyword(s):  
Epitaxial Growth ◽  
Molecular Beam ◽  
Molecular Beam Epitaxial ◽  
Gaas Substrates ◽  
Molecular Beam Epitaxial Growth

Molecular beam epitaxial growth of gallium nitride nanowires on atomic layer deposited aluminum oxide

2011 ◽  
Vol 334 (1) ◽  
pp. 113-117 ◽  
Author(s):  
Kevin Goodman ◽  
Vladimir Protasenko ◽  
Jai Verma ◽  
Tom Kosel ◽  
Grace Xing ◽  
...  
Keyword(s):  
Gallium Nitride ◽  
Aluminum Oxide ◽  
Epitaxial Growth ◽  
Molecular Beam ◽  
Atomic Layer ◽  
Molecular Beam Epitaxial ◽  
Molecular Beam Epitaxial Growth

Molecular beam epitaxial growth of low‐resistivity ZnSe films

1979 ◽  
Vol 35 (2) ◽  
pp. 97-98 ◽  
Author(s):  
Takafumi Yao ◽  
Yunosuke Makita ◽  
Shigeru Maekawa
Keyword(s):  
Epitaxial Growth ◽  
Molecular Beam ◽  
Low Resistivity ◽  
Molecular Beam Epitaxial ◽  
Molecular Beam Epitaxial Growth

Molecular beam epitaxial growth of InAs self-assembled quantum dots with light-emission at 1.3μm

2000 ◽  
Vol 208 (1-4) ◽  
pp. 93-99 ◽  
Author(s):  
Y Nakata ◽  
K Mukai ◽  
M Sugawara ◽  
K Ohtsubo ◽  
H Ishikawa ◽  
...  
Keyword(s):  
Quantum Dots ◽  
Epitaxial Growth ◽  
Molecular Beam ◽  
Light Emission ◽  
Molecular Beam Epitaxial ◽  
Self Assembled ◽  
Molecular Beam Epitaxial Growth

Molecular beam epitaxial growth of Fe/Cr multilayers on (001)GaAs

1988 ◽  
Vol 53 (2) ◽  
pp. 162-164 ◽  
Author(s):  
P. Etienne ◽  
G. Creuzet ◽  
A. Friederich ◽  
F. Nguyen‐Van‐Dau ◽  
A. Fert ◽  
...  
Keyword(s):  
Epitaxial Growth ◽  
Molecular Beam ◽  
Molecular Beam Epitaxial ◽  
Molecular Beam Epitaxial Growth

Molecular beam epitaxial growth and performance of HgCdTe-based simultaneous-mode two-color detectors

1998 ◽  
Vol 27 (6) ◽  
pp. 747-751 ◽  
Author(s):  
R. D. Rajavel ◽  
D. M. Jamba ◽  
J. E. Jensen ◽  
O. K. Wu ◽  
P. D. Brewer ◽  
...  
Keyword(s):  
Epitaxial Growth ◽  
Molecular Beam ◽  
Molecular Beam Epitaxial ◽  
And Performance ◽  
Molecular Beam Epitaxial Growth
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