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dc.contributor.authorStone, Howard
dc.contributor.authorAziz, Michael
dc.contributor.authorMargetis, Dionisios
dc.date.accessioned2009-04-14T19:30:15Z
dc.date.issued2005
dc.identifier.citationStone, Howard A., Michael J. Aziz, and Dionsios Margetis. 2005. Grooving of a grain boundary by evaporation–condensation below the roughening transition. Journal of Applied Physics 97(14): 141902.en
dc.identifier.issn0021-8979en
dc.identifier.urihttp://nrs.harvard.edu/urn-3:HUL.InstRepos:2795430
dc.description.abstractThe development of surface grooves at grain boundaries that intersect a planar surface is analyzed for the case that the evolution occurs below the thermodynamic roughening transition by evaporation–condensation processes. The dynamics are described by a nonlinear partial differential equation that has a similarity solution, so the resulting groove profile is described by a nonlinear ordinary differential equation. An approximate analytical solution to the nonlinear problem is obtained and is in excellent agreement with the numerical solution. The depth and width of the groove varies as <i>t</i><sup>1/2</sup>, where <i>t</i> is time, analogous to the classical results valid above the thermodynamic roughening temperature. In addition, the approximate analytical solution provides an explicit relation between the groove width and the dihedral angle, and is in sufficiently good agreement with the numerical results as to make such numerical solutions unnecessary for this problem. The results demonstrate explicitly how the groove shape depends on the functional form of the slope-dependent surface mobility.en
dc.description.sponsorshipEngineering and Applied Sciencesen
dc.language.isoen_USen
dc.publisherAmerican Institute of Physicsen
dc.relation.isversionofhttp://dx.doi.org/10.1063/1.1922583en
dash.licenseMETA_ONLY
dc.titleGrooving of a Grain Boundary by Evaporation–condensation below the Roughening Transitionen
dc.relation.journalJournal of Applied Physicsen
dash.depositing.authorAziz, Michael
dash.embargo.until10000-01-01
dc.identifier.doi10.1063/1.1922583*
dash.contributor.affiliatedStone, Howard A.
dash.contributor.affiliatedAziz, Michael


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