Microphase separation of diblock copolymers with amphiphilic segment
نویسندگان
چکیده
منابع مشابه
Scaling Laws in Microphase Separation of Diblock Copolymers
In this note, we study a nonlocal variational problem modeling microphase separation of diblock copolymers ([22], [3], [21]). We apply certain new tools developed in [5] to determine the principal part of the asymptotic expansion of the minimum free energy. That is, we prove a scaling law for the minimum energy and confirm that it is attained by a simple periodic lamellar structure. A previous ...
متن کاملStructural rheology of microphase separated diblock copolymers
We formulate a viscoelastic theory for interconnected microphase separated structures such as a double gyroid in diblock copolymer melts. We consider the energy increase and the energy dissipation due to the deformation of interconnected periodic domains. The dominant elastic part agrees with previous analytical results obtained by a phase formulation of deformations. It is shown that a viscous...
متن کاملOn the Derivation of a Density Functional Theory for Microphase Separation of Diblock Copolymers
We consider here the problem of phase separation in copolymer melts. The Ohta-Kawasaki density functional theory gives rise to a nonlocal Cahn-Hilliard-like functional, promoting the use of ansatz-free mathematical tools for the investigation of minimizers. In this article we re-derive this functional as an offspring of the self-consistent mean field theory, connecting all parameters to the fun...
متن کاملDirected assembly of functionalized nanoparticles with amphiphilic diblock copolymers.
The ability to design and fabricate highly ordered superstructures from nanoscale particles remains a major scientific and technological challenge. Patchy nanoparticles have recently emerged as a novel class of building units to construct functional materials. Using simulations of coarse-grained molecular dynamics, we propose a simple approach to achieve soft nanoparticles with a self-patchines...
متن کاملMicrophase separation patterns in diblock copolymers on curved surfaces using a nonlocal Cahn-Hilliard equation.
We investigate microphase separation patterns on curved surfaces in three-dimensional space by numerically solving a nonlocal Cahn-Hilliard equation for diblock copolymers. In our model, a curved surface is implicitly represented as the zero level set of a signed distance function. We employ a discrete narrow band grid that neighbors the curved surface. Using the closest point method, we apply ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Soft Matter
سال: 2009
ISSN: 1744-683X,1744-6848
DOI: 10.1039/b905923g