Chaotic step bunching during crystal growth. (English) Zbl 0790.58037
So called step bunching on crystal surfaces during crystal growth is analyzed by means of (1D) dynamical models. Standard methods from the treatment of dynamical systems are applied to determine spatial patterns (from periodic via chaotic to intermittent), stability regimes, and bifurcations. The approach is deterministic and does not take stochastic components into account.
Reviewer: M.Baake (Tübingen)
MSC:
| 37N99 | Applications of dynamical systems |
| 82D25 | Statistical mechanics of crystals |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
References:
| [1] | Williams, E. D.; Bartelt, N. C., Science, 251, 393 (1991), See for example |
| [2] | Latyshev, A. V.; Aseev, A. L.; Krasilnikov, A. B.; Stenin, S. I., Surf. Sci., 213, 157 (1989) |
| [3] | Bennema, P.; Gilmer, G. H., (Hartman, P., Crystal Growth: an Introduction (1973), North Holland: North Holland Amsterdam), 263, See for example |
| [4] | Eerden, J. P.v.d.; Muller-Krumbhaar, H., Phys. Rev. Lett., 57, 2431 (1986) |
| [5] | Bales, G. S.; Zangwill, A., Phys. Rev. B, 41, 5500 (1990) |
| [6] | Stoyanov, S., Jpn. J. Appl. Phys., 30, 1 (1991) |
| [7] | Fukui, T.; Saito, H., J. Vac. Sci. Tech. B, 6, 1373 (1988) |
| [8] | Kandel, D.; Weeks, J. D., Phys. Rev. Lett., 69, 3758 (1992), A short version of this work is in |
| [9] | Phys. Rev. A, 37, 211 (1988) |
| [10] | van Saarloos, W., Phys. Rev. A, 39, 6367 (1989) |
| [11] | Tsuchiya, M.; Petroff, P. M.; Coldren, L. A., Appl. Phys. Lett., 54, 1690 (1989) |
| [12] | Schwoebel, R. L., J. Appl. Phys., 40, 614 (1969) |
| [13] | Bennema, P.; Gilmer, G. H., (Hartman, P., Crystal Growth: an Introduction (1973), North Holland: North Holland Amsterdam), 263 |
| [14] | See for example, Chaos, B.-l. Hao, Ed. (World Scientific, Singapore, 1984), and references therein.; See for example, Chaos, B.-l. Hao, Ed. (World Scientific, Singapore, 1984), and references therein. |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
