scholarly journals Free Energy Functionals for Efficient Phase Field Crystal Modeling of Structural Phase Transformations

2010 ◽  
Vol 105 (4) ◽  
Author(s):  
Michael Greenwood ◽  
Nikolas Provatas ◽  
Jörg Rottler
Keyword(s):  
Free Energy ◽  
Phase Transformations ◽  
Phase Field ◽  
Structural Phase ◽  
Energy Functionals ◽  
Structural Phase Transformations ◽  
Phase Field Crystal

scholarly journals Structural phase transformations in annealed Pt/Mn/Fe trilayers

2020 ◽  
Vol 32 (36) ◽  
pp. 365404
Author(s):  
I O Kruhlov ◽  
O V Shamis ◽  
N Y Schmidt ◽  
M V Karpets ◽  
S Gulyas ◽  
...  
Keyword(s):  
Phase Transformations ◽  
Structural Phase ◽  
Structural Phase Transformations

Pressure-Induced Structural Phase Transformations in Silicon Nanowires

2005 ◽  
Vol 5 (5) ◽  
pp. 729-732 ◽  
Author(s):  
H. K. Poswal ◽  
Nandini Garg ◽  
Surinder M. Sharma ◽  
E. Busetto ◽  
S. K. Sikka ◽  
...  
Keyword(s):  
Phase Transformations ◽  
Silicon Nanowires ◽  
Structural Phase ◽  
Structural Phase Transformations

Efficient numerical algorithms for the phase field crystal equation

2021 ◽  
pp. 2150042
Author(s):  
Qingqu Zhuang ◽  
Shuying Zhai ◽  
Zhifeng Weng
Keyword(s):  
Free Energy ◽  
Lower Bound ◽  
Numerical Simulations ◽  
Lagrange Multiplier ◽  
Phase Field ◽  
Numerical Algorithms ◽  
Energy Potential ◽  
Energy Stable ◽  
2D And 3D ◽  
Phase Field Crystal

In this paper, based on the Lagrange Multiplier approach in time and the Fourier-spectral scheme for space, we propose efficient numerical algorithms to solve the phase field crystal equation. The numerical schemes are unconditionally energy stable based on the original energy and do not need the lower bound hypothesis of the nonlinear free energy potential. The unconditional energy stability of the three semi-discrete schemes is proven. Several numerical simulations in 2D and 3D are demonstrated to verify the accuracy and efficiency of our proposed schemes.

scholarly journals Non-equilibrium Structural Phase Transformations in Atomically Thin Transition Metal Dichalcogenides

2020 ◽  
Vol 26 (S2) ◽  
pp. 632-633
Author(s):  
Pawan Kumar ◽  
James Horwath ◽  
Alexandre Foucher ◽  
Chrisopher Price ◽  
Natalia Acero ◽  
...  
Keyword(s):  
Transition Metal ◽  
Phase Transformations ◽  
Structural Phase ◽  
Transition Metal Dichalcogenides ◽  
Metal Dichalcogenides ◽  
Structural Phase Transformations ◽  
Non Equilibrium
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