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- Title
The generalized convective Cahn–Hilliard equation: Symmetry classification, power series solutions and dynamical behavior.
- Authors
Zhang, Zhi-Yong; Ma, Kai-Hua; Zhang, Li-Sheng
- Abstract
We first perform a complete Lie symmetry classification of the generalized convective Cahn–Hilliard equation. Then using the obtained symmetries, we mainly study the convective Cahn–Hilliard equation, of which a new power series solution is constructed. In particular for the crystal surface growth processes, the truncated series solution shows that the surface structures include peaks and valleys, and can exhibit different evolution trends with the driving force varying from compressive force to tensile force. Moreover, there exist several critical points for the driving force, where the surface configurations take the jump changes and show different features on the both sides of such critical points. According to the effects of driving forces, we analyze the dynamical features of crystal growth.
- Subjects
POWER series; COMPRESSIVE force; SYMMETRY; CRYSTAL growth; EQUATIONS; CRITICAL point theory
- Publication
International Journal of Modern Physics C: Computational Physics & Physical Computation, 2020, Vol 31, Issue 2, pN.PAG
- ISSN
0129-1831
- Publication type
Article
- DOI
10.1142/S0129183120500242