Stochastic Equations for Simple Discrete Models of Epitaxial Growth

0166356 - UCHP-M 20020040 RIV US eng J - Journal Article
Předota, Milan - Kotrla, Miroslav
Stochastic Equations for Simple Discrete Models of Epitaxial Growth.
Physical Review. E. Roč. 54, č. 4 (1996), s. 3933-3942. ISSN 1063-651X
Institutional research plan: CEZ:AV0Z4072921
Keywords : stochastic * epitaxial * growth
Subject RIV: CF - Physical ; Theoretical Chemistry
Impact factor: 2.149, year: 1996

We derive continuous stochastic equations governing the asymptotic behavior of growth from a master equation for discrete growth models with local relaxation. We consider several simple models of epitaxial growth (the Family, the Wolf-Villain, and the Das SarmaůTamborenea models and their modifications). In 111 dimensions, we derive, for each model, the corresponding Langevin equation and identify leading terms that determine the universality class. Our results for models with local relaxation are in agreement with recent computer simulations. The applicability of the method in 211 dimensions is demonstrated in the case of the Family model. Problems of the procedure, in particular regularization in the continuous limit, are discussed.
Permanent Link: http://hdl.handle.net/11104/0063484