The phase behavior of lyotropic rigid-chain liquid crystal polymer was studied by dissipative particle dynamics (DPD) with variations of the solution concentration and temperature. A chain of fused DPD particles was used to represent each mesogenic polymer backbone surrounded with the strongly interacted solvent molecules. The free solvent molecules were modeled as independent DPD particles, where each particle includes a lump of solvent molecules with the volume roughly equal to the solvated polymer segment. The simulation shows that smectic-B (SB), smectic-A (SA), nematic (N), and isotropic (I) phases exist within certain regions in the temperature and concentration parameter space. The temperature-dependent SB/SA, SA/N, and N/I phase transitions occur in the high concentration range. In the intermediate concentration range, the simulation shows coexistence of the anisotropic phases and isotropic phase, where the anisotropic phases can be the SB, SA, or N phases. Mole fraction and compositions of the coexisted phases are determined from the simulation, which indicates that concentration of rigid rods in isotropic phase increases as the temperature increases. By fitting the orientational distribution function of the systems, the biphasic coexistence is further confirmed. From the parameter α obtained for the simulation, the distribution of the rigid rods in the two coexistence phases is quantitatively evaluated. By using model and simulation methods developed in this work, the phase diagrams of the lyotropic rigid-chain polymer liquid crystal are obtained. Incorporating the solvent particles in the DPD simulation is critical to predict the phase coexistence and obtain the phase diagrams.

1.
M.
Dobb
and
J.
McIntyre
, in
Liquid Crystal Polymers II/III
, edited by
N.
Platé
(
Springer
,
Berlin/Heidelberg
,
1984
), Vol.
60
, pp.
61
98
.
2.
M.
Northolt
and
D.
Sikkema
, in
Separation Techniques Thermodynamics Liquid Crystal Polymers
(
Springer
,
Berlin/Heidelberg
,
1991
), Vol.
98
, pp.
115
177
.
3.
S.
Papkov
, in
Liquid Crystal Polymers I
, edited by
N.
Platé
(
Springer
,
Berlin/Heidelberg
,
1984
), Vol.
59
, pp.
75
102
.
4.
P.
Flory
, in
Liquid Crystal Polymers I
, edited by
N.
Platé
(
Springer
,
Berlin/Heidelberg
,
1984
), Vol.
59
, pp.
1
36
.
5.
I.
Uematsu
and
Y.
Uematsu
, in
Liquid Crystal Polymers I
, edited by
N.
Platé
(
Springer
,
Berlin/Heidelberg
,
1984
), Vol.
59
, pp.
37
73
.
6.
B. M.
Ginzburg
and
A. A.
Shepelevskii
,
J. Macromol. Sci., Phys.
42
(
1
),
1
(
2003
).
7.
W.
Maier
and
A.
Saupe
,
Z. Naturforsch.
13a
,
564
(
1958
).
8.
S. J.
Picken
,
Macromolecules
22
(
4
),
1766
(
1989
).
9.
S. J.
Picken
,
Macromolecules
23
(
2
),
464
(
1990
).
10.
L.
Onsager
,
Ann. N.Y. Acad. Sci.
51
(
4
),
627
(
1949
).
11.
T.
Sato
and
A.
Teramoto
, in
Biopolymers Liquid Crystalline Polymers Phase Emulsion
(
Springer
,
Berlin/Heidelberg
,
1996
), Vol.
126
, pp.
85
161
.
12.
P. J.
Flory
and
G.
Ronca
,
Mol. Cryst. Liq. Cryst.
54
,
311
(
1979
).
13.
M. R.
Wilson
,
Int. Rev. Phys. Chem.
24
(
3
),
421
(
2005
).
14.
C. M.
Care
and
D. J.
Cleaver
,
Rep. Prog. Phys.
68
(
11
),
2665
(
2005
).
15.
D.
Antypov
and
D. J.
Cleaver
,
Chem. Phys. Lett.
377
(
3–4
),
311
(
2003
).
16.
J. G.
Gay
and
B. J.
Berne
,
J. Chem. Phys.
74
(
6
),
3316
(
1981
).
17.
J. T.
Brown
,
M. P.
Allen
,
E. M.
del Rio
, and
E. D.
Miguel
,
Phys. Rev. E
57
(
6
),
6685
(
1998
).
18.
P. J.
Hoogerbrugge
and
J. M. V. A.
Koelman
,
Europhys. Lett.
19
(
3
),
155
(
1992
).
19.
R. D.
Groot
and
P. B.
Warren
,
J. Chem. Phys.
107
(
11
),
4423
(
1997
).
20.
A.
AlSunaidi
,
W. K. den
Otter
, and
J. H. R.
Clarke
,
Philos. Trans. R. Soc. London, Ser. A
362
(
1821
),
1773
(
2004
).
21.
A.
AlSunaidi
,
W. K.
den Otter
, and
J. H. R.
Clarke
,
J. Chem. Phys.
130
(
12
),
124910
(
2009
).
22.
Y. K.
Levine
,
A. E.
Gomes
,
A. F.
Martins
, and
A.
Polimeno
,
J. Chem. Phys.
122
(
14
),
144902
(
2005
).
23.
A. E.
Gomes
,
A. F.
Martins
, and
A.
Polimeno
,
Mol. Cryst. Liq. Cryst.
435
,
135
(
2005
).
24.
Z.
Zhang
and
H.
Guo
,
J. Chem. Phys.
133
(
14
),
144911
(
2010
).
25.
Y.
Kong
,
C. W.
Manke
,
W. G.
Madden
, and
A. G.
Schlijper
,
J. Chem. Phys.
107
(
2
),
592
(
1997
).
26.
N. A.
Spenley
,
Europhys. Lett.
49
(
4
),
534
(
2000
).
27.
W.
Jiang
,
J.
Huang
,
Y.
Wang
, and
M.
Laradji
,
J. Chem. Phys.
126
(
4
),
044901
(
2007
).
28.
S.
Yamamoto
,
Y.
Maruyama
, and
S.-a.
Hyodo
,
J. Chem. Phys.
116
(
13
),
5842
(
2002
).
29.
X.
Li
,
I. V.
Pivkin
,
H.
Liang
, and
G. E.
Karniadakis
,
Macromolecules
42
(
8
),
3195
(
2009
).
30.
Y.-T.
Liu
,
Y.
Zhao
,
H.
Liu
,
Y.-H.
Liu
, and
Z.-Y.
Lu
,
J. Phys. Chem. B
113
(
46
),
15256
(
2009
).
31.
Z.
Li
and
E. E.
Dormidontova
,
Macromolecules
43
(
7
),
3521
(
2010
).
32.
J. M. V. A.
Koelman
and
P. J.
Hoogerbrugge
,
Europhys. Lett.
21
(
3
),
363
(
1993
).
33.
E. S.
Boek
,
P. V.
Coveney
,
H. N. W.
Lekkerkerker
, and
P.
van der Schoot
,
Phys. Rev. E
55
(
3
),
3124
(
1997
).
34.
E. S.
Boek
,
P. V.
Coveney
, and
H. N. W.
Lekkerkerker
,
J. Phys.: Condens. Matter
8
(
47
),
9509
(
1996
).
35.
L.
He
,
L.
Zhang
,
Y.
Ye
, and
H.
Liang
,
J. Phys. Chem. B
114
(
21
),
7189
(
2010
).
36.
P.
Español
and
P.
Warren
,
Europhys. Lett.
30
(
4
),
191
(
1995
).
37.
S.
Plimpton
,
J. Comput. Phys.
117
(
1
),
1
(
1995
).
38.
H.
Rommel
and
G.
Foerster
,
Macromolecules
27
(
16
),
4570
(
1994
).
39.
Y.
Cohen
and
W.
Wade Adams
,
Polymer
37
(
13
),
2767
(
1996
).
40.
W.
Humphrey
,
A.
Dalke
, and
K.
Schulten
,
J. Mol. Graphics
14
(
1
),
33
(
1996
).
41.
See supplementary material at http://dx.doi.org/10.1063/1.3671451 for pair distribution function; detailed information about phase diagram; the simulations with larger box and longer time; the multi-domain structure from the isotropic initial state and the internal energy E as function of temperature obtained from both I and N initial states; the comparison between NPT and NVT ensembles; and the stability of the smectic-A phase.
42.
S.-D.
Lee
and
R. B.
Meyer
,
J. Chem. Phys.
84
(
6
),
3443
(
1986
).
43.
M.
Zhou
,
V.
Frydman
, and
L.
Frydman
,
J. Phys. Chem.
100
(
50
),
19280
(
1996
).
44.
M.
Zhou
,
V.
Frydman
, and
L.
Frydman
,
Macromolecules
30
(
18
),
5416
(
1997
).
45.
S. C.
McGrother
,
D. C.
Williamson
, and
G.
Jackson
,
J. Chem. Phys.
104
(
17
),
6755
(
1996
).
46.
H.
Fischer
,
J. A.
Odell
,
A.
Keller
, and
M.
Murray
,
J. Mater. Sci.
29
(
4
),
1025
(
1994
).

Supplementary Material

You do not currently have access to this content.