Grooving of a Grain Boundary by Evaporation–condensation below the Roughening Transition

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Grooving of a Grain Boundary by Evaporation–condensation below the Roughening Transition

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Title: Grooving of a Grain Boundary by Evaporation–condensation below the Roughening Transition
Author: Stone, Howard; Aziz, Michael; Margetis, Dionisios

Note: Order does not necessarily reflect citation order of authors.

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.
Access Status: At the direction of the depositing author this work is not currently accessible through DASH.
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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 groove varies as t 1/2, 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.
Published Version: http://dx.doi.org/10.1063/1.1922583
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:2795430

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  • FAS Scholarly Articles [7106]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

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