Phase transition from body-centered-cubic spheres to cylinders in a diblock copolymer melt under an external electric field is investigated by means of real-space dynamical self-consistent field theory. Different phase transition kinetic pathways and different cylindrical domains arrangements of the final phase are observed depending on the strength and direction of the applied electric field. Various transient states have been identified depending on the electric field being applied along [111], [100], and [110] directions. The electric field should be above a certain threshold value in order the transition to occur. A “dynamic critical exponent” of the transition is found to be about 3/2, consistent with other order-order transitions in diblock copolymers under electric field.
REFERENCES
1.
2.
F. S.
Bates
and G. H.
Fredrickson
, Annu. Rev. Phys. Chem.
41
, 525
(1990
).3.
I. W.
Hamley
, The Physics of Block Copolymers
(Oxford University Press
, Oxford
, 1998
).4.
A. V.
Zvelindovsky
, Nanostructured Soft Matter: Experiments, Theory, Simulation and Perspectives
(Springer
, Dordrecht
, 2007
).5.
M.
Park
, C.
Harrison
, P. M.
Chaikin
, R. A.
Register
, and D. H.
Adamson
, Science
276
, 1401
(1997
).6.
T.
Thurn-Albrecht
, J.
Schotter
, G. A.
Kästle
, N.
Emley
, T.
Shibauchi
, L.
Krusin-Elbaum
, K.
Gaurini
, C. T.
Black
, M. T.
Tuominen
, and T. P.
Russell
, Science
290
, 2126
(2000
).7.
D. A.
Hajduk
, P. E.
Harper
, S. M.
Gruner
, C. C.
Honeker
, G.
Kim
, E. L.
Thomas
, and L. J.
Fetters
, Macromolecules
27
, 4063
(1994
).8.
S.
Sakurai
, T.
Hashimoto
, and L. J.
Fetters
, Macromolecules
29
, 740
(1996
).9.
K.
Kimishima
, T.
Koga
, and T.
Hashimoto
, Macromolecules
33
, 968
(2000
).10.
D. L.
Polis
, S. D.
Smith
, N. J.
Terrill
, A. J.
Ryan
, D. C.
Morse
, and K. I.
Winey
, Macromolecules
32
, 4668
(1999
).11.
T.
Honda
and T.
Kawakatsu
, Macromolecules
39
, 2340
(2006
).12.
T.
Xu
, J. T.
Goldbach
, and T. P.
Russell
, Macromolecules
36
, 7296
(2003
).13.
J.
Stasiak
, M. R.
Mackley
, A. M.
Squires
, V.
Castelletto
, I. W.
Hamley
, and G. D.
Moggridge
, Soft Matter
6
, 1941
(2010
).14.
I.
Rychkov
, Macromol. Theory Simul.
14
, 207
(2005
).15.
M.
Pinna
, A. V.
Zvelindovsky
, S.
Todd
, and G.
Goldbeck-Wood
, J. Chem. Phys.
125
, 154905
(2006
).16.
Y.
Tsori
and U.
Steiner
, Polymers, Liquids and Colloids in Electric Fields
(World Scientific
, Singapore
, 2009
).17.
A.
Onuki
and J.
Fukuda
, Macromolecules
28
, 8788
(1995
).18.
K.
Admunson
, E.
Helfand
, D. D.
Davis
, X.
Quan
, and S. S.
Patel
, Macromolecules
24
, 6546
(1991
).19.
K.
Admunson
, E.
Helfand
, X.
Quan
, and S. D.
Smith
, Macromolecules
26
, 2698
(1993
).20.
P.
Mansky
, J.
DeRouchey
, T. P.
Russell
, J.
Mays
, M.
Pitsikalis
, T.
Morkved
, and H.
Jaeger
, Macromolecules
31
, 4399
(1998
).21.
T.
Thurn-Albrecht
, J.
DeRouchey
, T. P.
Russell
, and H. M.
Jaeger
, Macromolecules
33
, 3250
(2000
).22.
H. G.
Schoberth
, K.
Schmidt
, K. A.
Schindler
, and A.
Böker
, Macromolecules
42
, 3433
(2009
).23.
K.
Schmidt
, C. W.
Pester
, H. G.
Schoberth
, H.
Zettl
, K. A.
Schindler
, and A.
Böker
, Macromolecules
43
, 4268
(2010
).24.
C.
Liedel
, C. W.
Pester
, M.
Ruppel
, V. S.
Urban
, and A.
Böker
, Macromol. Chem. Phys.
213
, 259
(2012
).25.
T.
Xu
, A. V.
Zvelindovsky
, G. J. A.
Sevink
, O.
Gang
, B.
Ocko
, Y.
Zhu
, S. P.
Gido
, and T. P.
Russell
, Macromolecules
37
, 6980
(2004
).26.
T.
Xu
, A. V.
Zvelindovsky
, G. J. A.
Sevink
, K. S.
Lyakhova
, H.
Jinnai
, and T. P.
Russell
, Macromolecules
38
, 10788
(2005
).27.
H. G.
Schoberth
, V.
Olszowka
, K.
Schmidt
, and A.
Böker
, Adv. Polym. Sci.
227
, 1
(2010
).28.
A.
Böker
, H.
Elbs
, H.
Hänsel
, A.
Knoll
, S.
Ludwigs
, H.
Zettl
, V.
Urban
, V.
Abetz
, A. H. E.
Müller
, and G.
Krausch
, Phys. Rev. Lett.
89
, 135502
(2002
).29.
T.
Thurn-Albrecht
, J.
DeRouchey
, T. P.
Russell
, and R.
Kolb
, Macromolecules
35
, 8106
(2002
).30.
K. S.
Lyakhova
, A. V.
Zvelindovsky
, and G. J. A.
Sevink
, Macromolecules
39
, 3024
(2006
).31.
Y.
Tsori
and D.
Andelman
, Macromolecules
35
, 5161
(2002
).32.
A. V.
Zvelindovsky
and G. J. A.
Sevink
, Phys. Rev. Lett.
90
, 049601
(2003
).33.
M.
Pinna
, L.
Schreier
, and A. V.
Zvelindovsky
, Soft Matter
5
, 970
(2009
).34.
G. J. A.
Sevink
, M.
Pinna
, K. M.
Langner
, and A. V.
Zvelindovsky
, Soft Matter
7
, 5161
(2011
).35.
C. Y.
Lin
, M.
Schick
, and D.
Andelman
, Macromolecules
38
, 5766
(2005
).36.
D. Q.
Ly
, T.
Honda
, T.
Kawakatsu
, and A. V.
Zvelindovsky
, Macromolecules
40
, 2928
(2007
).37.
D. Q.
Ly
, T.
Honda
, T.
Kawakatsu
, and A. V.
Zvelindovsky
, Macromolecules
41
, 4501
(2008
).38.
D. Q.
Ly
, T.
Honda
, T.
Kawakatsu
, and A. V.
Zvelindovsky
, Soft Matter
5
, 4814
(2009
).39.
M.
Pinna
and A. V.
Zvelindovsky
, Soft Matter
4
, 316
(2008
).40.
I. W.
Hamley
, V.
Castelletto
, O. O.
Mykhaylyk
, Z.
Yang
, R. P.
May
, K. S.
Lyakhova
, G. J. A.
Sevink
, and A. V.
Zvelindovsky
, Langmuir
20
, 10785
(2004
).41.
R.
Eskimergen
, K.
Mortensen
, and M. E.
Vigild
, Macromolecules
38
, 1286
(2005
).42.
T.
Honda
, H.
Kodama
, J. R.
Roan
, H.
Morita
, S.
Urashita
, R.
Hasegawa
, K.
Yokomizo
, T.
Kawakatsu
, and M.
Doi
, SUSHI Users Manual
(OCTA
, Nagoya, Japan
, 2004
).43.
T.
Kawakatsu
, Statistical Physics of Polymers: An Introduction
(Springer
, Berlin
, 2004
).44.
J. G. E. M.
Fraaije
, B. A. C.
van Vlimmeren
, N. M.
Maurits
, M.
Postma
, O. A.
Evers
, C.
Hoffmann
, P.
Altevogt
, and G.
Goldbeck-Wood
, J. Chem. Phys.
106
, 4260
(1997
).© 2013 American Institute of Physics.
2013
American Institute of Physics
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