We study theoretical aspects of step fluctuations on vicinal surfaces by adding conservative white noise to the Burton-Cabrera-Frank model in one spatial dimension. We consider material deposition from above, as well as entropic and elastic-dipole step repulsions. Two approaches are discussed: (i) the linearization of stochastic equations when fluctuations are small, which captures correlations; and (ii) a mean field approach, which leaves out correlations but captures nonlinearities. Comparisons to kinetic Monte-Carlo simulations are presented.
|Original language||English (US)|
|Title of host publication||Advances in Spectroscopy and Imaging of Surfaces and Nanostructures|
|Number of pages||6|
|State||Published - 2011|
|Event||2010 MRS Fall Meeting - Boston, MA, United States|
Duration: Nov 29 2010 → Dec 3 2010
|Name||Materials Research Society Symposium Proceedings|
|Other||2010 MRS Fall Meeting|
|Period||11/29/10 → 12/3/10|
Bibliographical noteFunding Information:
Research by the first author (DM) was supported by NSF under grant DMS 08-47587. Work by the other two authors (PP and TLE) was supported by the NSF MRSEC under grant DMR 05-20471 at the University of Maryland, with ancillary support from CNAM.