Year: 2000
Type: article
Abstract: We point out how geometric features affect the scaling properties of nonequilibrium 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 (hilltops) 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, $W\ensuremath{\sim}{L}^{\ensuremath{\alpha}}$, diverges with system size $L$ as $\ensuremath{\alpha}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}\frac{1}{3}$ instead of the conventional universal value $\ensuremath{\alpha}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}\frac{1}{2}$. This originates from a topological nonlocal evenness constraint on the surface configurations.
Source: Physical Review Letters
Authors: Jae Dong Noh, Hyunggyu Park, Marcel den Nijs
Language: English
Subfield: Condensed Matter Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2003381279