Issue |
Europhys. Lett.
Volume 38, Number 4, May I 1997
|
|
---|---|---|
Page(s) | 301 - 306 | |
Section | Condensed matter: structure, thermal and mechanical properties | |
DOI | https://doi.org/10.1209/epl/i1997-00242-8 | |
Published online | 01 September 2002 |
Growth morphologies during 2D solidification of Langmuir monolayers limited by both surface and bulk diffusion
Laboratoire de Spectrométrie Physique,
Université Joseph Fourier Grenoble-CNRS (UMR 5588) -
BP 87, 38402 Saint Martin d'Hères, France
Received:
5
December
1996
Accepted:
20
March
1997
We present fluorescence microscopy observations of
growing two-dimensional solid domains
in alcohol monolayers spread on
a subphase containing
a soluble fatty acid (p{K}a=4.5).
The morphologies are
highly branched
when ,
and almost compact
in the opposite case.
For
the 2D growth is limited by
the 2D diffusion of fluorescent impurities, whereas
for
the growth
is limited by fatty acid "impurities”
diffusing in the
subphase as well.
A theoretical analysis
shows that, unlike the
traditional
similarity solution where a planar front
advances like
,
bulk diffusion leads to the
existence of a planar front moving
at a constant velocity, governed
by the residence time of soluble
impurities at the surface. An exact
solution for this planar front and its
stability is provided analytically.
We also show
numerical results bearing resemblence
with the experimental patterns.
PACS: 68.35.Fx – Diffusion; interface formation / 68.70.+w – Whiskers and dendrites (growth, structure, and nonelectronic properties)
© EDP Sciences, 1997
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.