Stable Numerical Integration of an Epitaxial Growth Model with Slope Selection

Autor:	Seyfarth, Gregory M., Vollmayr-Lee, Benjamin P.
Rok vydání:	2013
Předmět:	Condensed Matter - Materials Science Condensed Matter - Statistical Mechanics
Zdroj:	Int. J. Mod. Phys. C 29, 1850059 (2018)
Druh dokumentu:	Working Paper
DOI:	10.1142/S0129183118500596
Popis:	We consider a continuum phase field model for crystal growth via molecular beam epitaxy, with the goal of determining stable numerical time integration methods for the dynamics. We parametrize a class of semi-implicit methods that are linear in the updated field, which allows for efficient implementation with fast Fourier transforms. We perform unconditional von Neumann stability analysis to identify the region of stability in parameter space, and then test these predictions numerically for gradient stability. We find strong agreement between the approaches. Comment: 22 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1303.5311 Zobrazit plný text záznamu View this record from Arxiv