We study the conformational properties of heteropolymers containing two types of monomers A and B, modeled as self-attracting self-avoiding random walks on a regular lattice. Such a model can describe in particular the sequences of hydrophobic and hydrophilic residues in proteins [K. F. Lau and K. A. Dill, Macromolecules 22, 3986 (1989)] and polyampholytes with oppositely charged groups [Y. Kantor and M. Kardar, Europhys. Lett. 28, 169 (1994)]. Treating the sequences of the two types of monomers as quenched random variables, we provide a systematic analysis of possible generalizations of this model. To this end we apply the pruned-enriched Rosenbluth chain-growth algorithm, which allows us to obtain the phase diagrams of extended and compact states coexistence as function of both the temperature and fraction of A and B monomers along the heteropolymer chain.
REFERENCES
1.
P. G.
de Gennes
, Scaling Concepts in Polymer Physics
(Cornell University Press
, Ithaca
, 1979
).2.
J.
desCloizeaux
and G.
Jannink
, Polymers in Solution: Their Modeling and Structure
(Clarendon Press
, Oxford
, 1990
).3.
A. Yu.
Grosberg
and A. R.
Khokhlov
, Statistical Physics of Macromolecules
(AIP Press
, New York
, 1994
).4.
N.
Clisby
, Phys. Rev. Lett.
104
, 055702
(2010
).5.
V.
Privman
, J. Phys. A
19
, 3287
(1986
);H.
Meirovitch
and H. A.
Lim
, J. Chem. Phys.
91
, 2544
(1989
);V.
Privman
and T.
Kurtze
, Macromolecules
19
, 2377
(1986
).6.
R. M.
Lam
, J. Phys. A
23
, L831
(1990
).7.
D. P.
Foster
, E.
Orlandini
, and M. C.
Tesi
, J. Phys. A
25
, L1211
(1992
).8.
G. T.
Barkema
, U.
Bastolla
, and P.
Grassberger
, J. Stat. Phys.
90
, 1311
(1998
).9.
I.
Szleifer
, E. M.
O’Toole
, and Z.
Panagiotopoulos
, J. Chem. Phys.
97
, 6802
(1992
).10.
P.
Grassberger
and R.
Hegger
, J. Chem. Phys.
102
, 6881
(1995
).11.
P.
Grassberger
, Phys. Rev. E
56
, 3682
(1997
).12.
T.
Vogel
, M.
Bachmann
, and W.
Janke
, Phys. Rev. E
76
, 061803
(2007
).13.
T.
Garel
and H.
Orland
, Europhys. Lett.
6
, 307
(1988
).14.
E. I.
Shakhnovich
and A. M.
Gutin
, Europhys. Lett.
8
, 327
(1989
);15.
G. Z.
Archontis
and E. I.
Shakhnovich
, Phys. Rev. E
49
, 3109
(1994
).16.
B.
Derrida
, Phys. Rev. B
24
, 2613
(1981
).17.
A. M.
Gutin
and E. I.
Shakhnovich
, J. Chem. Phys.
98
, 8174
(1993
).18.
K. F.
Lau
and K. A.
Dill
, Macromolecules
22
, 3986
(1989
).19.
E. I.
Shakhnovich
and A. M.
Gutin
, J. Chem. Phys.
93
, 5967
(1990
).20.
R.
Unger
and J.
Moult
, J. Mol. Biol.
231
, 75
(1993
).21.
E. E.
Lattman
, K. M.
Fiebig
, and K. A.
Dill
, Biochemistry
33
, 6158
(1994
).22.
F. H.
Stillinger
and T.
Head-Gordon
, Phys. Rev. E
52
, 2872
(1995
).23.
K.
Yue
, K. M.
Fiebig
, P. D.
Thomas
, H. S.
Chan
, E. I.
Shakhnovich
, and K. A.
Dill
, Proc. Natl. Acad. Sci. U.S.A.
92
, 325
(1995
).24.
A.
Irbäck
, C.
Peterson
, and F.
Potthast
, Phys. Rev. E
55
, 860
(1997
).25.
A.
Irbäck
, C.
Peterson
, F.
Potthast
, and O.
Sommelius
, J. Chem. Phys.
107
, 273
(1997
).26.
H.-P.
Hsu
, V.
Mehra
, and P.
Grassberger
, Phys. Rev. E
68
, 037703
(2003
).27.
28.
M.
Müller
and M.
Mézard
, J. Chem. Phys.
120
, 11233
(2004
).29.
M.
Bachmann
, H.
Arkin
, and W.
Janke
, Phys. Rev. E
71
, 031906
(2005
).30.
31.
T.
Wüst
and D. P.
Landau
, Comput. Phys. Commun.
179
, 124
(2008
).32.
A. D.
Swetnam
and M. P.
Allen
, Phys. Chem. Chem. Phys.
11
, 2046
(2009
).33.
34.
T.
Wüst
and D. P.
Landau
, J. Chem. Phys.
137
, 064903
(2012
).35.
Y. W.
Li
, T.
Wüst
, and D. P.
Landau
, Phys. Rev. E
87
, 012706
(2013
).36.
S. L.
Narasimhan
, A. K.
Rajarajan
, and V.
Vardharaj
, J. Chem. Phys.
137
, 115102
(2012
).37.
C. D.
Sfatos
and E. I.
Shakhnovich
, Phys. Rep.
288
, 77
(1997
).38.
39.
For a recent review, see, e.g.,
A. V.
Dobrynin
, R. H.
Colby
, and M.
Rubinstein
, J. Polym. Sci. B: Polym. Phys.
42
, 3513
(2004
).40.
A. M.
Gutin
and E. I.
Shakhnovich
, Phys. Rev. E
50
, R3322
(1994
).41.
Y.
Kantor
and M.
Kardar
, Phys. Rev. E
52
, 835
(1995
).42.
A. V.
Dobrynin
, M.
Rubinstein
, and S. P.
Obukhov
, Macromolecules
29
, 2974
(1996
).43.
M. C.
Barbosa
and Y.
Levin
, Physica A
231
, 467
(1996
).44.
M.
Tanaka
, A. Yu.
Grosberg
, V. S.
Pande
, and T.
Tanaka
, Phys. Rev. E
56
, 5798
(1997
).45.
R.
Everaers
, A.
Johner
, and J.-F.
Joanny
, Europhys. Lett.
37
, 275
(1997
);R.
Everaers
, A.
Johner
, and J.-F.
Joanny
, Macromolecules
30
, 8478
(1997
).46.
A. V.
Lyulin
, B.
Dünweg
, O. V.
Borisov
, and A. A.
Darinskii
, Macromolecules
32
, 3264
(1999
).47.
V.
Yamakov
, A.
Milchev
, H. J.
Limbach
, B.
Dünweg
, and R.
Everaers
, Phys. Rev. Lett.
85
, 4305
(2000
).48.
Y.
Kantor
, M.
Kardar
, and H.
Li
, Phys. Rev. E
49
, 1383
(1994
).49.
Y.
Kantor
and M.
Kardar
, Europhys. Lett.
28
, 169
(1994
).50.
H. P.
Hsu
, V.
Mehra
, W.
Nadler
, and P.
Grassberger
, J. Chem. Phys.
118
, 444
(2003
).51.
D.
MacDonald
, S.
Joseph
, D. L.
Hunter
, L. L.
Moseley
, N.
Jan
, and A. J.
Guttmann
, J. Phys. A
33
, 5973
(2000
).© 2014 AIP Publishing LLC.
2014
AIP Publishing LLC
You do not currently have access to this content.
