Dynamical surface structures in multi-particle-correlated surface growths

Abstract

We investigate the scaling properties of the interface fluctuation width for the $Q$-mer and $Q$-particle-correlated deposition-evaporation models. These models are constrained with a global conservation law that the particle number at each height is conserved modulo $Q$. In equilibrium, the stationary roughness is anomalous but universal with roughness exponent $\alpha =1/3$, while the early time evolution shows nonuniversal behavior with growth exponent $\beta$ varying with models and $Q$. Nonequilibrium surfaces display diverse growing/stationary behavior. The $Q$-mer model shows a faceted structure, while the $Q$-particle-correlated model a macroscopically grooved structure.

16 pages, 10 figures, revtex

References in corpus (2)

• Anomalous Roughness, Localization, and Globally Constrained Random Walks
• Even-visiting random walks: exact and asymptotic results in one dimension

Cited by in corpus (2)

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• Scaling and width distributions of parity conserving interfaces