-
2
-
-
33646931642
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-
We restrict the discussion to fluid interfaces since these are the experimentally relevant systems; solid, thin films are also governed by their curvature elasticity, but one must also include the effects of shear deformations and defects such as dislocations
-
We restrict the discussion to fluid interfaces since these are the experimentally relevant systems; solid, thin films are also governed by their curvature elasticity, but one must also include the effects of shear deformations and defects such as dislocations.
-
-
-
-
5
-
-
85086527020
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-
0 the physical conclusions concerning the influence of the monomers do not change, but the expressions are slightly more complicated
-
0 the physical conclusions concerning the influence of the monomers do not change, but the expressions are slightly more complicated.
-
-
-
-
6
-
-
33646933104
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-
note
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0) has a coefficient which is zero [3|. This choice fcr the dividing surface is termed the neutral surface and allows the area and curvature degrees of freedom to be decoupled. On the neutral surface, the free energy is minimal when the area per molecule is always equal to the area per molecule in the flat geometry and the free energy consists of only the curvature terms. In wha: follows, however, we consider a general surface where the coupling of the area and curvature terms is non-zero. We show that this still yields the Helfrieh curvature free energy, but with a renormalizec bending coefficient. The reason for not necessarily choosing a neutral surface is that microscopic treatments of curved thin films often are conveniently formulated in terms of a physical dividing surface, such as the polar head group in a system of simple surfactants or the connecting point in a block copolymer, which does not necessarily coincide with the neutral surface.
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7
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33646926002
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