Equation of state and stress tensor in inhomogeneous compressible copolymer melts: Dynamic mean-field density functional approach

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...

A Quasilinear Parabolic Equation With Inhomogeneous Density and Absorption

the effect of functional/notional approach on the proficiency level of efl learners and its evaluation through functional test

in fact, this study focused on the following questions: 1. is there any difference between the effect of functional/notional approach and the structural approaches to language teaching on the proficiency test of efl learners? 2. can a rather innovative language test referred to as "functional test" ge devised so so to measure the proficiency test of efl learners, and thus be as much reliable an...

Hybrid Dynamic Density Functional Theory for Polymer Melts and Blends

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...

A rigorous derivation of mean-field models for diblock copolymer melts

We study the free boundary problem describing the micro phase separation of diblock copolymer melts in the regime that one component has small volume fraction such that micro phase separation results in an ensemble of small spheres of one component. Mean-field models for the evolution of a large ensemble of such spheres have been formally derived in [6, 11]. It turns out that on a time scale of...