Small fluctuations in epitaxial growth via conservative noise

Simple item page
dc.contributor.advisorMargetis, Dionisiosen_US
dc.contributor.authorPatrone, Paulen_US
dc.contributor.departmentApplied Mathematics and Scientific Computationen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.date.accessioned2013-02-07T07:23:03Z
dc.date.available2013-02-07T07:23:03Z
dc.date.issued2012en_US
dc.description.abstractWe study the combined effect of growth (material deposition from above) and nearest-neighbor entropic and force-dipole interactions in a stochastically perturbed system of N line defects (steps) on a vicinal crystal surface in 1+1 dimensions. First, we formulate a general model of conservative white noise, and we derive sim- plified formulas for the terrace width distribution (TWD) and pair correlations, particularly the covariance matrix of terrace widths, in the limit N → ∞ for small step fluctuations. Second, we apply our formalism to two specific noise models which stem, respectively, from: (i) the fluctuation-dissipation theorem for diffusion of adsorbed atoms; and (ii) the phenomenological consideration of deposition-flux- induced asymmetric attachment and detachment of atoms at step edges. We discuss implications of our analysis, particularly the narrowing of the TWD with the de- position flux, connection of noise structure to terrace width correlations, behavior of these correlations in the macroscopic limit, and comparison of our perturbation results to a known mean field approach.en_US
dc.identifier.urihttp://hdl.handle.net/1903/13656
dc.subject.pqcontrolledApplied mathematicsen_US
dc.subject.pqcontrolledPhysicsen_US
dc.subject.pquncontrolledConservative noiseen_US
dc.subject.pquncontrolledEpitaxial growthen_US
dc.subject.pquncontrolledFokker-plancken_US
dc.subject.pquncontrolledterrace width distributionen_US
dc.subject.pquncontrolledvicinal surfaceen_US
dc.titleSmall fluctuations in epitaxial growth via conservative noiseen_US
dc.typeThesisen_US

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Patrone_umd_0117N_13888.pdf
Size:
243.51 KB
Format:
Adobe Portable Document Format
Download

Collections

UMD Theses and Dissertations
Computer Science Theses and Dissertations
Mathematics Theses and Dissertations