Two Dimensional Equilibrium Surface Roughness for Dissociative Dimer Dynamics

Abstract

Equilibrium crystal surfaces, constrained to equilibrate by means of dissociative dimer deposition and evaporation, have anomalous global surface roughness. We generalize earlier results for one dimensional interfaces to two dimensions. The global surface width scales with surface size L as W^2 \sim log [L/ (log L)^{1/4}] instead of the conventional form W^2 \sim log L. The surface roughening transition does not change in nature, but its location is subject to a large and slowly varying logarithmic finite-size-scaling shift.

9 pages, 4 figures, to appear in Phys. Rev. E

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 (3)

• Fluctuations of self-flattening surfaces
• Non-universal dynamics of dimer growing interfaces
• Roughening of $k$-mer growing interfaces in stationary regimes