Curvature Elasticity of Block Copolymers and the Structure of Emulsified Polymer Blends

1989 ◽  
Vol 177 ◽  
Author(s):  
Zhen-Gang Wang ◽  
S. A. Safran

ABSTRACTWe consider the curvature elastic properties of a layer of block copolymer at the interface between two incompatible homopolymers. We focus on the relation between the relative lengths of the blocks and the elastic properties of the interfacial layer which determines the phase behavior. The curvature elastic moduli K and K, as well as the spontaneous curvature, c0, are obtained. The curvature free energy is used to predict the relative stability of spherical, cylindrical, lamellar, and ordered bicontinuous saddle-shaped structures as functions of concentration and polymer properties.

2003 ◽  
Vol 36 (17) ◽  
pp. 6537-6548 ◽  
Author(s):  
Joon H. Lee ◽  
Megan L. Ruegg ◽  
Nitash P. Balsara ◽  
Yuqing Zhu ◽  
Samuel P. Gido ◽  
...  

2008 ◽  
Vol 64 (a1) ◽  
pp. C146-C146
Author(s):  
P. Thiyagarajan ◽  
V. Pol ◽  
D. Bohnsack ◽  
C.-T. Lo ◽  
B. Lee ◽  
...  

Polymer ◽  
2004 ◽  
Vol 45 (11) ◽  
pp. 3671-3679 ◽  
Author(s):  
Chieh-Tsung Lo ◽  
Soenke Seifert ◽  
Pappannan Thiyagarajan ◽  
Balaji Narasimhan

2011 ◽  
Vol 16 (8) ◽  
pp. 872-886 ◽  
Author(s):  
Ashutosh Agrawal

Curvature elasticity is used to derive the equilibrium conditions that govern the mechanics of membrane–membrane adhesion. These include the Euler–Lagrange equations and the interface conditions which are derived here for the most general class of strain energies permissible for fluid surfaces. The theory is specialized for homogeneous membranes with quadratic ‘Helfrich’-type energies with non-uniform spontaneous curvatures. The results are employed to solve four-point boundary value problems that simulate the equilibrium shapes of lipid vesicles that adhere to each other. Numerical studies are conducted to investigate the effect of relative sizes, osmotic pressures, and adhesion-induced spontaneous curvature on the morphology of adhered vesicles.


Soft Matter ◽  
2014 ◽  
Vol 10 (36) ◽  
pp. 6926-6930 ◽  
Author(s):  
H. Egger ◽  
G. H. Findenegg ◽  
O. Holderer ◽  
R. Biehl ◽  
M. Monkenbusch ◽  
...  

1974 ◽  
Vol 29 (9-10) ◽  
pp. 510-515 ◽  
Author(s):  
W Helfrich

Abstract The role of lipid exchange in the curvature elasticity of bilayers is studied theoretically. Blocking of exchange between the monolayers may give rise to a nonequilibrium lipid distribution going hand in hand with a spontaneous curvature. Some possible consequences for vesicular deformations are discussed. Lipid nonequilibrium is tentatively suggest as one possible cause for certain shape transformations of red blood cells


1999 ◽  
Vol 32 (3) ◽  
pp. 637-645 ◽  
Author(s):  
Mårten Svensson ◽  
Paschalis Alexandridis ◽  
Per Linse

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