# Comparative Study of a Solid Film Dewetting in an Attractive Substrate Potentials with the Exponential and the Algebraic Decay

Mathematical Modelling of Natural Phenomena (2008)

- Volume: 3, Issue: 5, page 16-29
- ISSN: 0973-5348

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topKhenner, M.. "Comparative Study of a Solid Film Dewetting in an Attractive Substrate Potentials with the Exponential and the Algebraic Decay." Mathematical Modelling of Natural Phenomena 3.5 (2008): 16-29. <http://eudml.org/doc/222360>.

@article{Khenner2008,

abstract = {
We compare dewetting characteristics of a thin nonwetting solid film in the
absence of stress, for
two models of a wetting potential: the exponential and the algebraic.
The exponential model is a one-parameter (r) model, and the algebraic model is
a two-parameter (r, m)
model, where r is the ratio of the characteristic wetting length to the height
of the unperturbed film,
and m is the exponent of h (film height) in a smooth function that
interpolates the system's surface
energy above and below the film-substrate interface at z = 0. The exponential
model
gives monotonically decreasing (with h) wetting chemical potential, while
this dependence is monotonic only for the m = 1 case of the algebraic model.
Linear stability analysis of the planar equilibrium surface is performed.
Simulations of the surface dynamics in the strongly nonlinear regime
(large deviations from the planar equilibrium) and for large surface energy
anisotropies demonstrate that for any m the film is less prone to dewetting
when it is governed by the algebraic model. Quasiequilibrium states similar to
the one found in the exponential model [M. Khenner, Phys. Rev. B, 77 (2008), 245445.] exist in the algebraic model as well, and the film morphologies are similar.
},

author = {Khenner, M.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {epitaxial solid films; surface diffusion; wetting; film agglomeration; stability theory; dynamics},

language = {eng},

month = {12},

number = {5},

pages = {16-29},

publisher = {EDP Sciences},

title = {Comparative Study of a Solid Film Dewetting in an Attractive Substrate Potentials with the Exponential and the Algebraic Decay},

url = {http://eudml.org/doc/222360},

volume = {3},

year = {2008},

}

TY - JOUR

AU - Khenner, M.

TI - Comparative Study of a Solid Film Dewetting in an Attractive Substrate Potentials with the Exponential and the Algebraic Decay

JO - Mathematical Modelling of Natural Phenomena

DA - 2008/12//

PB - EDP Sciences

VL - 3

IS - 5

SP - 16

EP - 29

AB -
We compare dewetting characteristics of a thin nonwetting solid film in the
absence of stress, for
two models of a wetting potential: the exponential and the algebraic.
The exponential model is a one-parameter (r) model, and the algebraic model is
a two-parameter (r, m)
model, where r is the ratio of the characteristic wetting length to the height
of the unperturbed film,
and m is the exponent of h (film height) in a smooth function that
interpolates the system's surface
energy above and below the film-substrate interface at z = 0. The exponential
model
gives monotonically decreasing (with h) wetting chemical potential, while
this dependence is monotonic only for the m = 1 case of the algebraic model.
Linear stability analysis of the planar equilibrium surface is performed.
Simulations of the surface dynamics in the strongly nonlinear regime
(large deviations from the planar equilibrium) and for large surface energy
anisotropies demonstrate that for any m the film is less prone to dewetting
when it is governed by the algebraic model. Quasiequilibrium states similar to
the one found in the exponential model [M. Khenner, Phys. Rev. B, 77 (2008), 245445.] exist in the algebraic model as well, and the film morphologies are similar.

LA - eng

KW - epitaxial solid films; surface diffusion; wetting; film agglomeration; stability theory; dynamics

UR - http://eudml.org/doc/222360

ER -

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