Abstract
We study the roughening of a growing surface near to a morphological transition within a general scaling framework. For a class of systems, where the transition can be related to directed percolation, the anomalous roughness at the critical point is at most logarithmical. In two-dimensional simulations we find ${\mathrm{w}}^{2}$\ensuremath{\sim}logL where w is the width of the surface and L is the substrate size.
Keywords
ScalingPercolation (cognitive psychology)Surface finishSurface roughnessCondensed matter physicsSubstrate (aquarium)Point (geometry)Surface (topology)PhysicsMaterials scienceStatistical physicsGeometryMathematicsGeologyThermodynamics
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Publication Info
- Year
- 1989
- Type
- article
- Volume
- 62
- Issue
- 22
- Pages
- 2571-2574
- Citations
- 116
- Access
- Closed
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Cite This
János Kertész,
Dietrich E. Wolf
(1989).
Anomalous roughening in growth processes.
Physical Review Letters
, 62
(22)
, 2571-2574.
https://doi.org/10.1103/physrevlett.62.2571
Identifiers
- DOI
- 10.1103/physrevlett.62.2571