Anomalous Roughness in Dimer-Type Surface Growth

Abstract

We point out how geometric features affect the scaling properties of non-equilibrium dynamic processes, by a model for surface growth where particles can deposit and evaporate only in dimer form, but dissociate on the surface. Pinning valleys (hill tops) develop spontaneously and the surface facets for all growth (evaporation) biases. More intriguingly, the scaling properties of the rough one dimensional equilibrium surface are anomalous. Its width, $W\sim L^{\alpha }$, diverges with system size $L$, as $\alpha =1/3$ instead of the conventional universal value $\alpha =1/2$. This originates from a topological non-local evenness constraint on the surface configurations.

Published version in PRL

References in corpus (2)

• Critical phenomena of nonequilibrium dynamical systems with two absorbing states
• Roughening transition in a model for dimer adsorption and desorption

Cited by in corpus (12)

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• Two Dimensional Equilibrium Surface Roughness for Dissociative Dimer Dynamics
• Even-visiting random walks: exact and asymptotic results in one dimension
• Reconstructed Rough Growing Interfaces; Ridgeline Trapping of Domain Walls
• Non-universal dynamics of dimer growing interfaces
• Scaling and width distributions of parity conserving interfaces
• Roughening of $k$-mer growing interfaces in stationary regimes