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Title: Periodic mass shedding of a retracting solid film step

Abstract

A semi-infinite, uniform film on a substrate tends to contract from the edge to reduce the surface energy of the system. This work studies the two-dimensional retraction of such a film step, assuming that the film evolves by capillarity-driven surface diffusion. It is found that the retracting film edge forms a thickened ridge followed by a valley. The valley sinks with time and eventually touches the substrate. The ridge then detaches from the film. The new film edge retracts to form another ridge accompanied again by a valley, and the mass shedding cycle is repeated. This periodic mass shedding is simulated numerically for contact angle {alpha} between 30 and 180{degree}. For smaller {alpha}, a small-slope late-time solution is found that agrees with the numerical solution for {alpha} = 30{degree}. Thus, the complete range of {alpha} is covered. The long-time retraction speed and the distance traveled per cycle agree quantitatively with experiments.

Authors:
; ; ;
Publication Date:
Research Org.:
Louisiana State Univ., Baton Rouge, LA (US)
Sponsoring Org.:
USDOE; American Chemical Society
OSTI Identifier:
20075928
DOE Contract Number:  
FG02-95ER25241
Resource Type:
Journal Article
Journal Name:
Acta Materialia
Additional Journal Information:
Journal Volume: 48; Journal Issue: 8; Other Information: PBD: 11 May 2000; Journal ID: ISSN 1359-6454
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; MORPHOLOGY; THIN FILMS; DIFFUSION; SURFACE ENERGY; MASS TRANSFER; MATHEMATICAL MODELS; ANNEALING

Citation Formats

Wong, H., Voorhees, P.W., Miksis, M.J., and Davis, S.H. Periodic mass shedding of a retracting solid film step. United States: N. p., 2000. Web. doi:10.1016/S1359-6454(00)00016-1.
Wong, H., Voorhees, P.W., Miksis, M.J., & Davis, S.H. Periodic mass shedding of a retracting solid film step. United States. doi:10.1016/S1359-6454(00)00016-1.
Wong, H., Voorhees, P.W., Miksis, M.J., and Davis, S.H. Thu . "Periodic mass shedding of a retracting solid film step". United States. doi:10.1016/S1359-6454(00)00016-1.
@article{osti_20075928,
title = {Periodic mass shedding of a retracting solid film step},
author = {Wong, H. and Voorhees, P.W. and Miksis, M.J. and Davis, S.H.},
abstractNote = {A semi-infinite, uniform film on a substrate tends to contract from the edge to reduce the surface energy of the system. This work studies the two-dimensional retraction of such a film step, assuming that the film evolves by capillarity-driven surface diffusion. It is found that the retracting film edge forms a thickened ridge followed by a valley. The valley sinks with time and eventually touches the substrate. The ridge then detaches from the film. The new film edge retracts to form another ridge accompanied again by a valley, and the mass shedding cycle is repeated. This periodic mass shedding is simulated numerically for contact angle {alpha} between 30 and 180{degree}. For smaller {alpha}, a small-slope late-time solution is found that agrees with the numerical solution for {alpha} = 30{degree}. Thus, the complete range of {alpha} is covered. The long-time retraction speed and the distance traveled per cycle agree quantitatively with experiments.},
doi = {10.1016/S1359-6454(00)00016-1},
journal = {Acta Materialia},
issn = {1359-6454},
number = 8,
volume = 48,
place = {United States},
year = {2000},
month = {5}
}