1 |
W. K. Burton, N. Cabrera, and F. C. Frank, The growth of crystals and the equilibrium structure of their surfaces, Trans. R. Soc. Lond. A 243 (1951), 299-358
DOI
|
2 |
D. J. Eyre, An unconditionally stable one-step scheme for gradient systems, Preprint, University of Utah, Salt Lake City, 1997
|
3 |
W. W. Mullins, Proof that the two dimensional shape of minimum surface free energy is convex, J. Math. Phys. 3 (1962), 754-759
DOI
|
4 |
J. W. Cahn and J. E. Hilliard, Free energy of a nonuniform system. I. Interfacial free energy, J. Chem. Phys. 28 (1958), 258-267
DOI
|
5 |
J. J. Eggleston, G. B. McFadden, and P. W. Voorhees, A phase-field model for highly anisotropic interfacial energy, Physica D 150 (2001), 91-103
DOI
ScienceOn
|
6 |
F. C. Frank, Metal Surfaces, ASM, Cleveland, OH, 1963
|
7 |
D. W. Hoffman and J. W. Cahn, A vector thermodynamics for anisotropic surfaces. I. Fundamentals and application to plane surface junctions, Surf. Sci. 31 (1972), 368-388
DOI
ScienceOn
|
8 |
J. S. Kim, A continuous surface tension force formulation for diffuse-interface models, J. Comput. Phys. 204 (2005), 784-804
DOI
ScienceOn
|
9 |
J. S. Kim and J. Sur, A hybrid method for higher-order nonlinear diffusion equations, Commun. Korean Math. Soc. 20 (2005), no. 1,179-193
과학기술학회마을
DOI
ScienceOn
|
10 |
A. A. Wheeler, W. J. Boettinger, and G. B. McFadden, Phase-field model for isothermal phase transitions in binary alloys, Phys. Rev. A 45 (1992), 7424-7439
DOI
ScienceOn
|
11 |
Y. Wang, L. Q. Chen, and A. G. Khachaturyan, Kinetics of strain-induced morphological transformation in cubic alloys with a miscibility gap, Acta Metall. 41 (1993), 279-296
DOI
ScienceOn
|
12 |
A. A. Wheeler and G. B. McFadden, On the notion of a -vector and a stress tensor for a general class of anisotropic diffuse interface models, Proc. R. Soc. Land. A 453 (1997), 1611-1630
DOI
ScienceOn
|
13 |
U. Trottenberg, C. Oosterlee, and A. Schuller, MULTIGRID, Academic Press, 2001
|
14 |
B. P. Vollmayr-Lee and A. D. Rutenberg, Fast and accurate coarsening simulation with an unconditionally stable time step, Phys Rev E, 68 (2003), 1-13
DOI
|
15 |
M. Siegel, M. J. Miksis, and P. W. Voorhees, Evolution of material voids for highly anisotropic surface energy, J. Mech. Phys. Solids 52 (2004), 1319-1353
DOI
ScienceOn
|
16 |
T. Takaki, T. Hasebe, and Y. Tomita, Two-dimensional phase-field simulation of selfassembled quantum dot formation, J. Crystal Growth 287 (2006), 495-499
DOI
ScienceOn
|
17 |
Y. W. Zhang, Self-organization, shape transition, and stability of epitaxially strained islands, Phys. Rev. B 61 (2000), 388-392
DOI
ScienceOn
|