Universality Class of Discrete Solid-on-Solid Limited Mobility Nonequilibrium Growth Models for Kinetic Surface Roughening

Abstract

We investigate, using the noise reduction technique, the asymptotic universality class of the well-studied nonequilibrium limited mobility atomistic solid-on-solid surface growth models introduced by Wolf and Villain (WV) and Das Sarma and Tamborenea (DT) in the context of kinetic surface roughening in ideal molecular beam epitaxy. We find essentially all the earlier conclusions regarding the universality class of DT and WV models to be severely hampered by slow crossover and extremely long lived transient effects. We identify the correct asymptotic universality class(es) which differs from earlier conclusions in several instances.

11 pages with 1 table plus 5 postscript figures

Cited by in corpus (12)

• Persistence and First-Passage Properties in Non-equilibrium Systems
• Persistence in nonequilibrium surface growth
• Numerical study of discrete models in the class of the nonlinear molecular beam epitaxy equation
• Scaling of local interface width of statistical growth models
• Thin film growth models with long surface diffusion lengths
• Surface pattern formation and scaling described by conserved lattice gases
• Dimensional fragility of the Kardar-Parisi-Zhang universality class
• Effects of The Ehrlich-Schwoebel Potential Barrier on the Wolf-Villain Model Simulations for Thin Film Growth
• Modeling of nonequilibrium surface growth by a limited mobility model with distributed diffusion length
• Growth instability due to lattice-induced topological currents in limited mobility epitaxial growth models
• Effects of a kinetic barrier on limited-mobility interface growth models
• Transitions in a Probabilistic Interface Growth Model