Scaling behavior of thin films on chemically heterogeneous walls
File(s)PRE_96_032801.pdf (420.53 KB)
Accepted version
Author(s)
Parry, AO
malijevsky, A
Pospisil, M
Type
Journal Article
Abstract
We study the adsorption of a fluid in the grand canonical ensemble occurring at a planar heterogeneous wall which is decorated with a chemical stripe of width
L
. We suppose that the material of the stripe strongly preferentially adsorbs the liquid in contrast to the outer material which is only partially wet. This competition leads to the nucleation of a droplet of liquid on the stripe, the height
h
m
and shape of which (at bulk two-phase coexistence) has been predicted previously using mesoscopic interfacial Hamiltonian theory. We test these predictions using a microscopic Fundamental Measure Density Functional Theory which incorporates short-ranged fluid-fluid and fully long-ranged wall-fluid interactions. Our model functional accurately describes packing effects not captured by the interfacial Hamiltonian but still we show that there is excellent agreement with the predictions
h
m
≈
L
1
/
2
and for the scaled circular shape of the drop even for
L
as small as 50 molecular diameters. For smaller stripes the droplet height is considerably lower than that predicted by the mesoscopic interfacial theory. Phase transitions for droplet configurations occurring on substrates with multiple stripes are also discussed.
L
. We suppose that the material of the stripe strongly preferentially adsorbs the liquid in contrast to the outer material which is only partially wet. This competition leads to the nucleation of a droplet of liquid on the stripe, the height
h
m
and shape of which (at bulk two-phase coexistence) has been predicted previously using mesoscopic interfacial Hamiltonian theory. We test these predictions using a microscopic Fundamental Measure Density Functional Theory which incorporates short-ranged fluid-fluid and fully long-ranged wall-fluid interactions. Our model functional accurately describes packing effects not captured by the interfacial Hamiltonian but still we show that there is excellent agreement with the predictions
h
m
≈
L
1
/
2
and for the scaled circular shape of the drop even for
L
as small as 50 molecular diameters. For smaller stripes the droplet height is considerably lower than that predicted by the mesoscopic interfacial theory. Phase transitions for droplet configurations occurring on substrates with multiple stripes are also discussed.
Date Issued
2017-09-18
Date Acceptance
2017-08-18
Citation
Physical Review E, 2017, 96
ISSN
1539-3755
Publisher
American Physical Society
Journal / Book Title
Physical Review E
Volume
96
Copyright Statement
©2017 American Physical Society. Scaling behavior of thin films on chemically heterogeneous walls
Alexandr Malijevský, Andrew O. Parry, and Martin Pospíšil
Phys. Rev. E 96, 032801 – Published 18 September 2017
Alexandr Malijevský, Andrew O. Parry, and Martin Pospíšil
Phys. Rev. E 96, 032801 – Published 18 September 2017
Sponsor
Engineering & Physical Science Research Council (EPSRC)
Grant Number
EP/L020564/1
Subjects
01 Mathematical Sciences
02 Physical Sciences
09 Engineering
Fluids & Plasmas
Publication Status
Published
Article Number
032801
Date Publish Online
2017-09-18