dc.contributor.author Stone, Howard dc.contributor.author Aziz, Michael dc.contributor.author Margetis, Dionisios dc.date.accessioned 2009-04-14T19:30:15Z dc.date.issued 2005 dc.identifier.citation Stone, 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.issn 0021-8979 en dc.identifier.uri http://nrs.harvard.edu/urn-3:HUL.InstRepos:2795430 dc.description.abstract The 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 en groove varies as t1/2, where t 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. dc.description.sponsorship Engineering and Applied Sciences en dc.language.iso en_US en dc.publisher American Institute of Physics en dc.relation.isversionof http://dx.doi.org/10.1063/1.1922583 en dash.license META_ONLY dc.title Grooving of a Grain Boundary by Evaporation–condensation below en the Roughening Transition dc.relation.journal Journal of Applied Physics en dash.depositing.author Aziz, Michael dash.embargo.until 10000-01-01 dc.identifier.doi 10.1063/1.1922583 * dash.contributor.affiliated Stone, Howard A. dash.contributor.affiliated Aziz, Michael
﻿