Evolution of terrace-width distributions on vicinal surfaces: Fokker-Planck derivation of the generalized Wigner surmise

Alberto Pimpinelli, Hailu Gebremariam, T. L. Einstein

Research output: Contribution to journalArticle

21 Scopus citations

Abstract

We use a Fokker-Planck equation to justify the generalization of the Wigner surmise for the energy-level spacing in quantum systems to the simple expression for the equilibrium terrace-width distribution of steps-with arbitrary-strength repulsions-on a vicinal surface, taking advantage of analogies to one-dimensional models of interacting, spinless fermions. This approach leads to an analytic description of the evolution toward equilibrium of steps from several experimentally relevant initial distributions: step bunches, perfect cleaved crystals, and prequench equilibrated distributions at different temperatures.

Original languageEnglish (US)
Article number246101
JournalPhysical Review Letters
Volume95
Issue number24
DOIs
StatePublished - Dec 9 2005

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Evolution of terrace-width distributions on vicinal surfaces: Fokker-Planck derivation of the generalized Wigner surmise'. Together they form a unique fingerprint.

Cite this