Condensed Matter Physics, 2010, vol. 13, No. 2, p. 23603:1-12
DOI:10.5488/CMP.13.23603
Title: Mesoscopic description of network-forming clusters
of weakly charged colloids Author(s):
 
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A. Ciach
(Institute of Physical Chemistry, Polish Academy of Sciences, 01-224
Warszawa, Poland)
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W.T. Góźdź
(Institute of Physical Chemistry, Polish Academy of Sciences, 01-224
Warszawa, Poland) |
Systems composed of spherical charged particles in
solvents containing counterions and inducing effective
short-range attraction are studied in the framework of mesoscopic
field-theory. We limit ourselves to mean-field approximation (MF)
and to weak ordering. We discuss properties of potentials consisting
of strong short-range attraction and weak long-range repulsion
(SALR) in the context of formation of nonuniform distribution of
particles on a mesoscopic length scale instead of macroscopic phase
separation. In earlier work it was found that spherical, cylindrical
and slab-like clusters of particles are formed, and for low enough
temperatures the clusters form ordered, periodic bcc, hexagonal and
lamellar phases. In addition, a gyroid phase was predicted in which
two interwoven regular network-like clusters branching in triple
junctions are formed. At properly rescaled density and temperature,
the coexistence lines between different ordered phases were found to
be universal in MF, with the exception of the gyroid phase. Here the
phase diagram is determined for two choices of the SALR potential,
one corresponding to a large range of the attractive part of the
potential, and the other one to a very small range of attraction. We
find that the region of stability of the gyroid phase very weakly
depends on the form of the SALR potential within the approximate
theory.
Key words: colloids, clusters, self-assembly,
order-disorder phase transitions
PACS: 61.20.Gy, 64.60.De, 82.70.Dd
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