We simulate crystallisation of hard spheres with short-ranged attractive potentials as a model self-assembling system. Using measurements of correlation and response functions, we develop a method whereby the interaction parameters between the particles are automatically tuned during the assembly process, in order to obtain high-quality crystals and avoid kinetic traps. The method we use is independent of the details of the interaction potential and of the structure of the final crystal—we propose that it can be applied to a wide range of self-assembling systems.
REFERENCES
1.
G. M.
Whitesides
and B.
Grzybowski
, Science
295
, 2418
(2002
).2.
S. C.
Glotzer
and M. J.
Solomon
, Nature Mater.
6
, 557
(2007
).3.
M. F.
Hagan
and D.
Chandler
, Biophys. J.
91
, 42
(2006
).4.
D. C.
Rapaport
, Phys. Rev. Lett.
101
, 186101
(2008
).5.
M. E.
Leunissen
, C. G.
Christova
, A. P.
Hynninen
, C. P.
Royall
, A. I.
Campbell
, A.
Imhof
, M.
Dijkstra
, R.
van Roij
, and A.
van Blaaderen
, Nature (London)
437
, 235
(2005
).6.
A.-P.
Hynninen
, J. H. J.
Thijssen
, E. C. M.
Vermolen
, M.
Dijkstra
, and A.
Van Blaaderen
, Nature Mater.
6
, 202
(2007
).7.
R. P.
Sear
, J. Phys.: Condens. Matter
19
, 033101
(2007
).8.
D.
Nykypanchuk
, M.
Maye
, D.
van der Lelie
, and O.
Gang
, Nature (London)
451
, 549
(2008
).9.
Q.
Chen
, S. C.
Bae
, and S.
Granick
, Nature (London)
469
, 381
(2011
).10.
F.
Romano
and F.
Sciortino
, Soft Matter
7
, 5799
(2011
).11.
D.
Klotsa
and R. L.
Jack
, Soft Matter
7
, 6294
(2011
).12.
P. W. K.
Rothemund
, Nature (London)
440
, 297
(2006
).13.
A. B.
Pawar
and I.
Kretzschmar
, Langmuir
25
, 9057
(2009
).14.
S.
Sacanna
, W. T. M.
Irvine
, P. M.
Chaikin
, and D. J.
Pine
, Nature (London)
464
, 575
(2010
).15.
D. J.
Kraft
, R.
Ni
, F.
Smallenburg
, M.
Hermes
, K.
Yoon
, D. A.
Weitz
, A.
van Blaaderen
, J.
Groenewold
, M.
Dijkstra
, and W.
Kegel
, Proc. Natl. Acad. Sci. U.S.A.
109
, 10787
(2012
).16.
A. W.
Wilber
, J. P. K.
Doye
, and A. A.
Louis
, J. Chem. Phys.
131
, 175101
(2009
).17.
A.
Haji-Akbari
, M.
Engel
, A. S.
Keys
, X.
Zheng
, R. G.
Petschek
, P.
Palffy-Muhoray
, and S. C.
Glotzer
, Nature (London)
462
, 773
(2009
).18.
J. F.
Martinez-Veracoechea
, B. M.
Mladek
, A. V.
Tkachenko
, and D.
Frenkel
, Phys. Rev. Lett.
107
, 045902
(2011
).19.
G. M.
Whitesides
and M.
Boncheva
, Proc. Natl. Acad. Sci. U.S.A.
99
, 4769
(2002
).20.
S.
Whitelam
, E. H.
Feng
, M. F.
Hagan
, and P. L.
Geissler
, Soft Matter
5
, 1251
(2009
).21.
J.
Grant
, R. L.
Jack
, and S.
Whitelam
, J. Chem. Phys.
135
, 214505
(2011
).22.
E.
Jankowski
and S. C.
Glotzer
, Soft Matter
8
, 2852
(2012
).23.
R.
Klajn
, K. J. M.
Bishop
, and B. A.
Grzybowski
, Proc. Natl. Acad. Sci. U.S.A.
104
, 10305
(2007
).24.
P. K.
Jha
, V.
Kuzovkov
, B. A.
Grzybowski
, and M.
Olvera de la Cruz
, Soft Matter
8
, 227
(2012
).25.
A.
Fortini
, E.
Sanz
, and M.
Dijkstra
, Phys. Rev. E
78
, 041402
(2008
).26.
P.
ten Wolde
and D.
Frenkel
, Science
277
, 1975
(1997
).27.
D. F.
Rosenbaum
, P. C.
Zamora
, and C. F.
Zukoski
, Phys. Rev. Lett.
76
, 150
(1996
).28.
D. F.
Rosenbaum
, A.
Kulkarni
, S.
Ramakrishnan
, and C. F.
Zukoski
, J. Chem. Phys.
111
, 9882
(1999
).29.
H. J.
Liu
, S.
Garde
, and S.
Kumar
, J. Chem. Phys.
123
, 174505
(2005
).30.
M. G.
Noro
and D.
Frenkel
, J. Chem. Phys.
113
, 2941
(2000
).31.
J. R.
Spaeth
, I. G.
Kevrekidis
, and Z.
Panagiotopoulos
, J. Chem. Phys.
134
, 164902
(2011
).32.
S.
Whitelam
, Mol. Simul.
37
, 606
(2011
).33.
E.
Sanz
and D.
Marenduzzo
, J. Chem. Phys.
132
, 194102
(2010
).34.
A.
Crisanti
and F.
Ritort
, J. Phys. A
36
, R181
(2003
).35.
J.
Kurchan
, Nature (London)
433
, 222
(2005
).36.
M.
Baesi
, C.
Maes
, and B.
Wynants
, Phys. Rev. Lett.
103
, 010602
(2009
).37.
R. L.
Jack
, M. F.
Hagan
, and D.
Chandler
, Phys. Rev. E
76
, 021119
(2007
).38.
J.
Grant
and R. L.
Jack
, Phys. Rev. E
85
, 021112
(2012
).39.
J.
Russo
and F.
Sciortino
, Phys. Rev. Lett.
104
, 195701
(2010
).40.
U.
Seifert
and T.
Speck
, EPL
89
, 10007
(2010
).41.
J. D.
Honeycutt
and H. C.
Andersen
, J. Phys. Chem.
91
, 4950
(1987
).42.
P. R.
ten Wolde
, M. J.
Ruiz-Montero
, and D.
Frenkel
, Phys. Rev. Lett.
75
, 2714
(1995
).43.
A. M.
Alsayed
, Z.
Dogic
, and A. G.
Yodh
, Phys. Rev. Lett.
93
, 057801
(2004
).44.
C.
Hertlein
, L.
Helden
, A.
Gambassi
, S.
Dietrich
, and C.
Bechinger
, Nature (London)
451
, 172
(2008
).45.
N.
Elsner
, C. P.
Royall
, B.
Vincent
, and D. R. E.
Snoswell
, J. Chem. Phys.
130
, 154901
(2009
).46.
J. R.
Savage
and A. D.
Dinsmore
, Phys. Rev. Lett.
102
, 198302
(2009
).47.
D.
Bonn
, J.
Otwinowski
, S.
Sacanna
, H.
Guo
, G.
Wegdam
, and P.
Schall
, Phys. Rev. Lett.
103
, 156101
(2009
).48.
S. L.
Taylor
, C. P.
Royall
, and R.
Evans
, J. Phys.: Condens. Matter
24
, 464128
(2012
).49.
S.
Jabbari-Farouji
, D.
Mizuno
, M.
Atakhorrami
, F. C.
MacKintosh
, C. F.
Schmidt
, E.
Eiser
, G. H.
Wegdam
, and D.
Bonn
, Phys. Rev. Lett.
98
, 108302
(2007
).50.
H.
Oukris
and N. E.
Israeloff
, Nat. Phys.
6
, 135
(2010
).51.
C.
Maggi
, R.
Di Leonardo
, J. C.
Dyre
, and G.
Ruocco
, Phys. Rev. B
81
, 104201
(2010
).52.
S.
Whitelam
, Phys. Rev. Lett.
105
, 088102
(2010
).53.
H.
Robbins
and S.
Monro
, Ann. Math. Stat.
22
, 400
(1951
).© 2013 American Institute of Physics.
2013
American Institute of Physics
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