Abstract
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) |
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| Title of host publication | Advances in Spectroscopy and Imaging of Surfaces and Nanostructures |
| Pages | 101-106 |
| Number of pages | 6 |
| DOIs | |
| State | Published - 2011 |
| Externally published | Yes |
| Event | 2010 MRS Fall Meeting - Boston, MA, United States Duration: Nov 29 2010 → Dec 3 2010 |
Publication series
| Name | Materials Research Society Symposium Proceedings |
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| Volume | 1318 |
| ISSN (Print) | 0272-9172 |
Other
| Other | 2010 MRS Fall Meeting |
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| Country/Territory | United States |
| City | Boston, MA |
| Period | 11/29/10 → 12/3/10 |
Bibliographical note
Funding 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.