Kinetic roughening of a terrace ledge

Tim Salditt, Herbert Spohn

Research output: Contribution to journalArticlepeer-review

16 Scopus citations


We study the motion of an isolated terrace ledge on a crystalline surface within the framework of the terrace-ledge-kink model. We argue that for length scales larger than the diffusion length the step roughness is governed by the Kardar-Parisi-Zhang (KPZ) equation that predicts a broadening as t1/3. For smaller length scales a variety of possibilities are explored. Their occurrence depends sensitively on the rates for the adsorption and desorption processes both on the terraces and at the ledge. The ledge could be unstable, developing a fractal, dendritic type of structure. If the ledge is stable, we obtain a crossover from a t1/6 (conserved dynamics, model B) to a t1/4 (nonconserved dynamics, model A) and a t1/3 (KPZ) broadening.

Original languageEnglish
Pages (from-to)3524-3531
Number of pages8
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number5
StatePublished - 1993
Externally publishedYes


Dive into the research topics of 'Kinetic roughening of a terrace ledge'. Together they form a unique fingerprint.

Cite this