Universality classification of restricted solid-on-solid type surface growth models.
Title | Universality classification of restricted solid-on-solid type surface growth models. |
Publication Type | Journal Article |
Year of Publication | 2003 |
Authors | Park, S-C., & Park J-M. |
Journal | Phys Rev E Stat Nonlin Soft Matter Phys |
Volume | 67 |
Issue | 1 Pt 1 |
Pagination | 010103 |
Date Published | 2003 Jan |
ISSN | 1539-3755 |
Abstract | We consider the restricted solid-on-solid (RSOS) type surface growth models and classify them into dynamic universality classes according to their symmetry and conservation law. Four groups of RSOS-type microscopic models--asymmetric (A), asymmetric-conserved (AC), symmetric (S), and symmetric-conserved (SC) groups--are introduced and the corresponding stochastic differential equations (SDEs) are derived. Analyzing these SDEs using dynamic renormalization group theory, we confirm the previous results that A-RSOS, AC-RSOS, and S-RSOS groups belong to the Kardar-Parisi-Zhang class, the Villain-Lai-Das Sarma class, and the Edwards-Wilkinson class, respectively. We also find that SC-RSOS group belongs to a new universality class featuring the conserved-cubic nonlinearity. |
DOI | 10.1103/PhysRevE.67.010103 |
Alternate Journal | Phys Rev E Stat Nonlin Soft Matter Phys |
PubMed ID | 12636474 |