scholarly journals Lamellar phase solutions for diblock copolymers with nonlocal diffusions

2019 ◽  
Vol 388 ◽  
pp. 22-32
Author(s):  
Hardy Chan ◽  
Masomeh Jamshid Nejad ◽  
Juncheng Wei
2008 ◽  
Vol 112 (14) ◽  
pp. 4194-4203 ◽  
Author(s):  
Linli He ◽  
Linxi Zhang ◽  
Haojun Liang

2020 ◽  
Vol 152 (18) ◽  
pp. 184906
Author(s):  
M. A. Osipov ◽  
M. V. Gorkunov ◽  
A. V. Berezkin ◽  
A. A. Antonov ◽  
Y. V. Kudryavtsev

2005 ◽  
Vol 123 (12) ◽  
pp. 124906 ◽  
Author(s):  
Ying Jiang ◽  
Rui Huang ◽  
Haojun Liang

Polymers ◽  
2021 ◽  
Vol 13 (19) ◽  
pp. 3392
Author(s):  
Mikhail A. Osipov ◽  
Maxim V. Gorkunov ◽  
Alexander A. Antonov ◽  
Anatoly V. Berezkin ◽  
Yaroslav V. Kudryavtsev

A molecular model of the orientationally ordered lamellar phase exhibited by asymmetric rod-coil-rod triblock copolymers has been developed using the density-functional approach and generalizing the molecular-statistical theory of rod-coil diblock copolymers. An approximate expression for the free energy of the lamellar phase has been obtained in terms of the direct correlation functions of the system, the Flory-Huggins parameter and the Maier-Saupe orientational interaction potential between rods. A detailed derivation of several rod-rod and rod-coil density-density correlation functions required to evaluate the free energy is presented. The orientational and translational order parameters of rod and coil segments depending on the temperature and triblock asymmetry have been calculated numerically by direct minimization of the free energy. Different structure and ordering of the lamellar phase at high and low values of the triblock asymmetry is revealed and analyzed in detail. Asymmetric rod-coil-rod triblock copolymers have been simulated using the method of dissipative particle dynamics in the broad range of the Flory-Huggins parameter and for several values of the triblock asymmetry. It has been found that the lamellar phase appears to be the most stable one at strong segregation. The density distribution of the coil segments and the segments of the two different rods have been determined for different values of the segregation strength. The simulations confirm the existence of a weakly ordered lamellar phase predicted by the density-functional theory, in which the short rods separate from the long ones and are characterized by weak positional ordering.


Soft Matter ◽  
2014 ◽  
Vol 10 (35) ◽  
pp. 6713-6721 ◽  
Author(s):  
Liangshun Zhang ◽  
Liquan Wang ◽  
Jiaping Lin

The Landau–Brazovskii theory is employed to explore defect structures and ordering behaviors of block copolymers confined on spherical substrates. Isolated disclinations and scars are formed in the cylindrical phase. The defect structures of hedgehog, spiral and quasi-baseball are produced in the lamellar phase.


2001 ◽  
Vol 34 (18) ◽  
pp. 6487-6494 ◽  
Author(s):  
Robert A. Wickham ◽  
An-Chang Shi

Author(s):  
S.D. Smith ◽  
R.J. Spontak ◽  
D.H. Melik ◽  
S.M. Buehler ◽  
K.M. Kerr ◽  
...  

When blended together, homopolymers A and B will normally macrophase-separate into relatively large (≫1 μm) A-rich and B-rich phases, between which exists poor interfacial adhesion, due to a low entropy of mixing. The size scale of phase separation in such a blend can be reduced, and the extent of interfacial A-B contact and entanglement enhanced, via addition of an emulsifying agent such as an AB diblock copolymer. Diblock copolymers consist of a long sequence of A monomers covalently bonded to a long sequence of B monomers. These materials are surface-active and decrease interfacial tension between immiscible phases much in the same way as do small-molecule surfactants. Previous studies have clearly demonstrated the utility of block copolymers in compatibilizing homopolymer blends and enhancing blend properties such as fracture toughness. It is now recognized that optimization of emulsified ternary blends relies upon design considerations such as sufficient block penetration into a macrophase (to avoid block slip) and prevention of a copolymer multilayer at the A-B interface (to avoid intralayer failure).


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