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@ARTICLE{Mller:20771,
author = {Müller, M. and Gompper, G.},
title = {{E}lastic properties of polymer interfaces : aggregation of
pure diblock, mixed diblock, and triblock copolymers},
journal = {Physical review / E},
volume = {66},
number = {4},
issn = {1063-651X},
address = {College Park, Md.},
publisher = {APS},
reportid = {PreJuSER-20771},
pages = {041805},
year = {2002},
note = {Record converted from VDB: 12.11.2012},
abstract = {Block copolymers adsorbing to an interface between two
immiscible homopolymers modify the elastic constants of this
interface. Within self-consistent field calculations for
Gaussian chains, we determine how the bending constants vary
in dependence on the block copolymer concentration and
architecture. Four phenomena are discussed. (i) When a
tricritical or isotropic Lifshitz critical point is
approached in a ternary mixture by varying the concentration
of diblock copolymers or changing temperature, the elastic
constants vanish. We determine the corresponding power laws,
and show that the de Gennes-Taupin criterium for the
stability of lamellar phases against undulations and the
Ginzburg-Landau criterium for bulk fluctuations yield
identical predictions for the validity of the mean-field
approximation. (ii) Addition of a small amount of diblock
copolymers modifies the bending rigidity. If the diblock
copolymers are comparable in length to the homopolymers,
adsorption of the diblocks reduces the bending rigidity. If
the diblocks are much longer, they increase the bending
rigidity. Only for an extreme ratio of chain lengths (>100),
the predictions for polymers tethered to an infinitely thin,
impenetrable sheet become accurate. (iii) Mixtures of short
and long symmetric diblock copolymers are studied, as well
as mixtures of two asymmetric diblocks, which are obtained
by exchanging the long and short ends. The saddle-splay
modulus is found to be the same in both mixtures, while the
bending rigidity is significantly smaller in the latter
case. (iv) The role of the block copolymer architecture is
studied by comparing the effect of triblock copolymers with
the effect of diblocks with the same overall length and
composition. We propose that triblock copolymers are a very
efficient way to control the spontaneous curvature of an
interface.},
keywords = {J (WoSType)},
cin = {IFF-TH-II},
ddc = {530},
cid = {I:(DE-Juel1)VDB31},
pnm = {Kondensierte Materie},
pid = {G:(DE-Juel1)FUEK242},
shelfmark = {Physics, Fluids $\&$ Plasmas / Physics, Mathematical},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000179176100065},
doi = {10.1103/PhysRevE.66.041805},
url = {https://juser.fz-juelich.de/record/20771},
}