Coarse-grained molecular dynamics is utilized to quantify the behavior of a supercooled water drop on smooth and rough surfaces. Crystallization on rough surface is characterized based on wetting states. Freezing temperature and work of adhesion of water droplet are linearly associated with roughness parameters corresponding to the Cassie-Baxter and Wenzel states. The behavior is insensitive to different surface-fluid affinity. We show in general, for Wenzel states, work of adhesion is higher than that of Cassie-Baxter state for surfaces that have identical freezing temperatures.

1.
V. A.
Croutch
and
R. A.
Hartley
,
J. Coat. Technol.
64
,
41
(
1992
).
2.
L. L.
Cao
,
A. K.
Jones
,
V. K.
Sikka
,
J. Z.
Wu
, and
D.
Gao
,
Langmuir
25
,
12444
(
2009
).
3.
W.
Barthlott
and
C.
Neinhuis
,
Planta
202
,
1
(
1997
).
4.
C.
Ran
,
G.
Ding
,
W.
Liu
,
Y.
Deng
, and
W.
Hou
,
Langmuir
24
,
9952
(
2008
).
5.
Z.
Yoshimitsu
,
A.
Nakajima
,
T.
Watanabe
, and
K.
Hashimoto
,
Langmuir
18
,
5818
(
2002
).
6.
D. M.
Spori
,
T.
Drobek
,
S.
Zürcher
,
M.
Ochsner
,
C.
Sprecher
,
A.
Mühlebach
, and
N. D.
Spencer
,
Langmuir
24
,
5411
(
2008
).
7.
N. J.
Shirtcliffe
,
G.
McHale
,
M. I.
Newton
, and
C. C.
Perry
,
Langmuir
21
,
937
(
2005
).
8.
H.
Modaressi
and
G.
Garnier
,
Langmuir
18
,
642
(
2002
).
9.
F.
Heslot
,
A. M.
Cazabat
,
P.
Levinson
, and
N.
Fraysse
,
Phys. Rev. Lett.
65
,
599
(
1990
).
10.
G. O.
Berim
and
E.
Ruckenstein
,
J. Chem. Phys.
130
,
184712
(
2009
).
11.
J.
Yaneva
,
A.
Milchev
, and
K.
Binder
,
J. Chem. Phys.
121
,
12632
(
2004
).
12.
M.
Lundgren
,
N. L.
Allan
, and
T.
Cosgrove
,
Langmuir
23
,
1187
(
2007
).
13.
G. S.
Grest
,
D. R.
Heine
, and
E. B.
Webb
,
Langmuir
22
,
4745
(
2006
).
14.
J. T.
Hirvi
and
T. A.
Pakkanen
,
J. Chem. Phys.
125
,
144712
(
2006
).
15.
T.
Young
,
Philos. Trans. R. Soc. London
95
,
65
(
1805
).
16.
J. N.
Israelachvili
,
Intermolecular and Surface Forces
(
Academic press
,
London
,
1992
).
17.
H.
Murase
,
K.
Nanishi
,
H.
Kogure
,
T.
Fujibayashi
,
K.
Tamura
, and
N.
Haruta
,
J. Appl. Polym. Sci.
54
,
2051
(
1994
).
18.
A. J.
Meuler
,
J. D.
Smith
,
K. K.
Varanasi
,
J. M.
Mabry
,
G. H.
McKinley
, and
R. E.
Cohen
,
ACS Appl. Mater. Interfaces
2
(
11
),
3100
(
2010
).
19.
A. J.
Meuler
,
G. H.
McKinley
, and
R. E.
Cohen
,
ACS Nano
4
,
7048
(
2010
).
20.
S.
Jung
,
M.
Dorrestijn
,
D.
Raps
,
S.
Das
,
C. M.
Megaridis
, and
D.
Poulikakos
,
Langmuir
27
,
3059
(
2011
).
21.
M.
Nosonovsky
and
V.
Hejazi
,
ACS Nano
6
,
8488
(
2012
).
22.
J. A.
van Meel
,
R. P.
Sear
, and
D.
Frenkel
,
Phys. Rev. Lett.
105
,
205501
(
2010
).
23.
G. I.
Tóth
,
G.
Tegze
,
T.
Pusztai
, and
L.
Gránásy
,
Phys. Rev. Lett.
108
,
025502
(
2012
).
24.
J.
Chen
,
J.
Liu
,
M.
He
,
K.
Li
,
D.
Cui
,
Q.
Zhang
,
X.
Zeng
,
Y.
Zhang
,
J.
Wang
, and
Y.
Song
,
Appl. Phys. Lett.
101
,
111603
(
2012
).
25.
F.
Leroy
and
F.
Müller-Plathe
,
Langmuir
27
,
637
(
2011
).
26.
F.
Leroy
and
F.
Müller-Plathe
,
J. Chem. Theory Comput.
8
,
3724
(
2012
).
27.
V.
Molinero
and
E. B.
Moore
,
J. Phys. Chem. B
113
,
4008
(
2009
).
28.
T.
Werder
,
J. H.
Walther
,
R. L.
Jaffe
,
T.
Halicioglu
, and
P.
Koumoutsakos
,
J. Phys. Chem. B
107
,
1345
(
2003
).
29.
E. B.
Moore
,
T. J.
Allen
, and
V.
Molinero
,
J. Phys. Chem. C
116
,
7507
(
2012
).
30.
P. J.
Steinhardt
,
D. R.
Nelson
, and
M.
Ronchetti
,
Phys. Rev. B
28
,
784
(
1983
).
31.
T.
Li
,
D.
Donadio
,
G.
Russoc
, and
G.
Gallicd
,
Phys. Chem. Chem. Phys.
13
,
19807
(
2011
).
32.
S.
Plimpton
,
J. Comput. Phys.
117
,
1
(
1995
).
33.
N. H.
Fletcher
,
Sci. Prog. Oxf.
54
,
227
(
1966
).
34.
E. B.
Moore
,
E.
d. l. Llave
,
K.
Welke
,
D. A.
Scherlis
, and
V.
Molinero
,
Phys. Chem. Chem. Phys.
12
,
4124
(
2010
).
35.
M.
Heni
and
H.
Löwen
,
Phys. Rev. Lett.
85
,
3668
(
2000
).
36.
W.
Xu
,
Z.
Sun
, and
L.
An
,
J. Chem. Phys.
132
,
144506
(
2010
).
37.
S.
Auer
and
D.
Frenkel
,
Phys. Rev. Lett.
91
,
015703
(
2003
).
38.
T.
Li
,
D.
Donadio
,
L. M.
Ghiringhelli
, and
G.
Galli
,
Nature Mater.
8
,
726
(
2009
).
39.
K.
Li
,
S.
Xu
,
W.
Shi
,
M.
He
,
H.
Li
,
S.
Li
,
X.
Zhou
,
J.
Wang
, and
Y.
Song
,
Langmuir
28
,
10749
(
2012
).
40.
K. K.
Varanasi
,
T.
Deng
,
J. D.
Smith
,
M.
Hsu
, and
N.
Bhate
,
Appl. Phys. Lett.
97
,
234102
(
2010
).
41.
See supplementary material at http://dx.doi.org/10.1063/1.4862257 for rough surface model, ice profile on smooth surfaces, snapshots of crystallization at different wetting states, density and energy profiles on rough surfaces, and tabulated summary of freezing temperature and work of adhesion.

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