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Journal ArticleDOI

Flattening of a Nearly Plane Solid Surface due to Capillarity

W. W. Mullins
- 01 Jan 1959 - 
- Vol. 30, Iss: 1, pp 77-83
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TLDR
In this article, a general solution is obtained for the combined action of the transport processes of viscous flow, evaporation-condensation (in a closed system), volume diffusion, and surface diffusion.
Abstract
The relaxation of a nearly plane surface to flatness is discussed under the assumption that all surface properties are independent of orientation. A general solution is obtained for the combined action of the transport processes of viscous flow, evaporation‐condensation (in a closed system), volume diffusion, and surface diffusion. Green's function solutions are developed for each of the transport processes separately, and criteria are obtained to decide which process dominates. The initial forms of these solutions represent point concentrations (particles), or line concentrations (wires) of material set upon an infinite plane. The progressive topographical developments described by the formulas are idealized representations of the latter stages of the sintering of small wires and particles to a plane.

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Nucleation and growth of thin films

TL;DR: In this paper, the basic physical processes involved in the nucleation and growth of thin films of materials on solid surfaces are described, and the relationships between the thermodynamics of adsorption and the kinetics of crystal growth are explored in general terms.
Journal ArticleDOI

Step Motion on Crystal Surfaces. II

TL;DR: In this article, it is shown that coalescence of steps or stabilization of step spacings can occur as a consequence of assuming that capture probabilities are directionally dependent, and a general solution for the time-dependent step distribution is obtained in terms of these probabilities and an arbitrary initial distribution of an infinite sequence of parallel steps.
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Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics

TL;DR: Kinetic interfaces form the basis of a fascinating, interdisciplinary branch of statistical mechanics as mentioned in this paper, which can be unified via an intriguing nonlinear stochastic partial differential equation whose consequences and generalizations have mobilized a sizeable community of physicists concerned with a statistical description of kinetically roughened surfaces.
Journal ArticleDOI

Solid-State Dewetting of Thin Films

TL;DR: In this article, the authors use dewetting to make arrays of nanoscale particles for electronic and photonic devices and for catalyzing growth of nanotubes and nanowires.
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Morphological Changes of a Surface of Revolution due to Capillarity‐Induced Surface Diffusion

TL;DR: In this article, a finite-difference method has been developed for the general case of an arbitrary surface of revolution and solutions have been obtained for the specific problems of blunting of field-emission tips and the sintering of spheres.
References
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The theory of sound

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Theory of Thermal Grooving

TL;DR: In this paper, the Gibbs-Thompson formula is used to describe the development of surface grooves at the grain boundaries of a heated polycrystal and the mechanisms of evaporation-condensation and surface diffusion are discussed with the use of the Gibbs•Thompson formula.
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Effect of Change of Scale on Sintering Phenomena

TL;DR: In this paper, it is shown that when certain plausible assumptions are fulfilled simple scaling laws govern the times required to produce, by sintering at a given temperature, geometrically similar changes in two or more systems of solid particles.
Journal ArticleDOI

Physics of Powder Metallurgy

Thomas A. Read
- 01 Nov 1949 - 
TL;DR: Sylvania Electric Products, Inc. as discussed by the authors recently sponsored a symposium on the physics of powder metallurgy at Fort Totten in Bayside, Long Island.