A wide range of NPT simulations of a bead necklace liquid crystal model in the crystal B, smectic B, smectic A, and nematic phases have been performed. Systems with up to 21600molecules have been studied to observe the behavior of slowly decaying spatial correlation functions. The pair correlation function and its in-plane restriction are consistent with a crystalline phase made of independent two-dimensional crystalline layers. Smectic B phase is studied by the bond orientational pair correlation functions g6 and its extension g6ext. The first reaches a constant value, which seems to rule out a classical hexatic phase. The latter shows a power-law decay within the layers: its typical decay exponent (η6ext) is evaluated. Relationships between multiple harmonics of the C6n order parameter have been evaluated through the whole range of existence of B phases (crystalline and smectic): the extension to the crystalline phase holds and provides an excellent fit of the simulation data.

1.
K.
Strandburg
,
Rev. Mod. Phys.
60
,
161
(
1988
).
2.
M.
Glaser
and
N.
Clark
,
Adv. Chem. Phys.
83
,
543
(
1993
).
3.
N. D.
Mermin
,
Phys. Rev.
176
,
250
(
1968
).
4.
B.
Halperin
and
D. R.
Nelson
,
Phys. Rev. Lett.
41
,
121
(
1978
).
5.
B.
Halperin
and
D. R.
Nelson
,
Phys. Rev. B
19
,
247
(
1979
).
6.
J. M.
Kosterlitz
and
D. J.
Thouless
,
J. Phys. C
6
,
1181
(
1973
).
7.
A. P.
Young
,
Phys. Rev. B
19
,
1855
(
1979
).
8.
B.
Halperin
and
D. R.
Nelson
,
Phys. Rev. B
21
,
5312
(
1979
).
9.
D. E.
Moncton
and
R.
Pindak
,
Phys. Rev. Lett.
43
,
701
(
1979
).
10.
A. J.
Leadbetter
,
M. A.
Mazid
,
B.
Kelly
,
J. W.
Goodby
, and
G. W.
Gray
,
Phys. Rev. Lett.
43
,
630
(
1979
).
11.
R.
Pindak
,
D. E.
Moncton
,
S. C.
Davey
, and
J. W.
Goodby
,
Phys. Rev. Lett.
46
,
1135
(
1981
).
12.
C. A.
Murray
,
W. O.
Sprenger
, and
R. A.
Wenk
,
Phys. Rev. B
42
,
688
(
1990
).
13.
M. C. J. T.
Ho
,
S. W.
Hui
, and
R.
Pindak
,
Phys. Rev. Lett.
59
,
1112
(
1987
).
14.
C.-F.
Chou
,
J. T.
Ho
,
S. W.
Hui
, and
V.
Surendranath
,
Phys. Rev. Lett.
76
,
4556
(
1996
).
15.
C.-F.
Chou
,
J. T.
Ho
, and
S. W.
Hui
,
Phys. Rev. E
56
,
592
(
1997
).
16.
M.
Veum
,
C. C.
Huang
,
C. F.
Chou
, and
V.
Surendranath
,
Phys. Rev. E
56
,
2298
(
1997
).
17.
D.
Frenkel
and
J. P.
McTague
,
Phys. Rev. Lett.
42
,
1632
(
1979
).
18.
K. J.
Strandburg
,
J. A.
Zollweg
, and
G. V.
Chester
,
Phys. Rev. B
30
,
2755
(
1984
).
19.
A. F.
Bakker
,
C.
Bruin
, and
H. J.
Hilhorst
,
Phys. Rev. Lett.
52
,
449
(
1984
).
20.
C.
Udink
and
J.
van der Elsken
,
Phys. Rev. B
35
,
279
(
1987
).
21.
K.
Chen
,
T.
Kaplan
, and
M.
Mostoller
,
Phys. Rev. Lett.
74
,
4019
(
1995
).
22.
K.
Bagchi
,
H. C.
Andersen
, and
W.
Swope
,
Phys. Rev. Lett.
76
,
2780
(
1996
).
23.
M.
Cheng
,
J. T.
Ho
,
S. W.
Hui
, and
R.
Pindak
,
Phys. Rev. Lett.
61
,
550
(
1988
).
24.
K. M.
Aoki
and
F.
Yonezawa
,
Phys. Rev. Lett.
69
,
2780
(
1992
).
25.
A.
Aharony
,
R. J.
Birgeneau
,
J. D.
Brock
, and
J. D.
Litster
,
Phys. Rev. Lett.
57
,
1012
(
1986
).
26.
S.
Nosé
,
J. Chem. Phys.
81
,
511
(
1984
).
27.
M.
Parrinello
and
A.
Rahman
,
Phys. Rev. Lett.
45
,
1196
(
1980
).
28.
J. D.
Brock
,
A.
Aharony
,
R. J.
Birgeneau
,
K. W.
Evans-Lutterodt
,
J. D.
Litster
,
P. M.
Horn
,
G. B.
Stephenson
, and
A. R.
Tajbakhsh
,
Phys. Rev. Lett.
57
,
98
(
1986
).
29.
M.
Paczuski
and
M.
Kardar
,
Phys. Rev. Lett.
60
,
861
(
1988
).
30.
M. A.
Bates
and
G. R.
Luckhurst
,
J. Chem. Phys.
110
,
7087
(
1999
).
31.
E.
de Miguel
,
E. M.
del Río
, and
F. J.
Blas
,
J. Chem. Phys.
121
,
11183
(
2004
).
32.
K.
Bagchi
,
H. C.
Andersen
, and
W.
Swope
,
Phys. Rev. E
53
,
3794
(
1996
).
33.
R. J.
Birgenau
and
J. D.
Litster
,
J. Phys. (Paris), Lett.
39
,
399
(
1978
).
34.
K. M.
Aoki
and
F.
Yonezawa
,
Phys. Rev. A
46
,
6541
(
1992
).
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