Dynamic density functional theory for microphase separation kinetics of block copolymer melts
نویسندگان
چکیده
منابع مشابه
Density Functional Theory for Block Copolymer Melts and Blends
We derive an expression for the free energy of the blends of block copolymers expressed as a functional of the density distribution of the monomer of each block. The expression is a generalization of the Flory-Huggins-de Gennes theory for homo polymer blends, and also a generalization of the Ohta-Kawasaki theory for the melts of diblock copolymers. The expression can be used for any blends of h...
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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...
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Silicon microchips have continued to grow progressively smallerto meet the demands of a competitive market. The next step indevelopment will send the chips from micro-order to nano-order,giving rise to new and challenging complications. Here, twomethods are explored to develop such technology. The firstinvolves molecular beam epitaxial (MBE) growth of isotopicallycon...
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We propose a high-speed and accurate hybrid dynamic density functional theory for the computer simulations of the phase separation processes of polymer melts and blends. The proposed theory is a combination of the dynamic self-consistent field (SCF) theory and a time-dependent Ginzburg-Landau type theory with the random phase approximation (GRPA). The SCF theory is known to be accurate in evalu...
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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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ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 1993
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.465536