منابع مشابه
Universality of block copolymer melts.
Simulations of five different coarse-grained models of symmetric diblock copolymers are compared to demonstrate a universal (i.e., model-independent) dependence of the free energy and order-disorder transition (ODT) on the invariant degree of polymerization N̄. The actual values of χN at the ODT approach predictions of the Fredrickson-Helfand (FH) theory for N̄ ≳ 10(4) but significantly exceed FH...
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The Leibler theory [L. Leibler, Macromolecules 13 1602 (1980)] for mi-crophase separation in AB block copolymer melts is generalized for systems with arbitrary topology of molecules. A diagrammatic technique for calculation of the monomeric correlation functions is developed. The free energies of various mesophases are calculated within the second-harmonic approximation. Model highly-branched t...
متن کاملMulticritical Phenomena and Microphase Ordering in Random Block Copolymer Melts
A mean-field analysis of microphase separation and phase behavior is described for melts of linear A-B multiblock copolymers, each chain consisting of a stochastic sequence of flexible segments (each with M monomers), AM and BM, for a total of Q >> 1 segments per chain. We find a phase diagram similar to that for statistical A-B copolymers (M = 1) but with an isotropic Lifshitz point that shoul...
متن کاملTransitions to periodic structures in block copolymer melts.
\Vc analyzc ncarly continuous transitions to pcriodic structures expanding the dcnsity of thc periodic strllcture in multiple harmonics. A thrce dimensional hexagonal structure identified as a "Lamellar-Catenoid" is the equilillrium structurc near thc transition. It consists of alternating lamellar domains connectcd by an orthogonal array of hexagonally packed cylinders. \Ve obtain the periodic...
متن کاملBinary hard sphere mixtures in block copolymer melts.
We perform a self-consistent-field/density-functional-theory hybrid analysis for a system of diblock copolymers mixed with polydisperse, hard, spherical particles of various chemical species. We apply this theory to study the equilibrium morphologies of two different binary sphere/diblock melts. First, we examine the case where the particles have two different sizes, but both types are preferen...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2014
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.113.068302