Complexes of block copolymers in solution: A graph-theoretical approach
نویسندگان
چکیده
منابع مشابه
Complexes of Block Copolymers in Solution: A Graph-Theoretical Approach
We determine the statistical properties of block copolymers in solution. These complexes are assumed to have the topological structure of connected graphs with "nonnested" loops and cycles. The generating function method is used to determine the number of topologically different complexes containing a given number of block copolymers. It is shown that at sufficiently high concentration the syst...
متن کاملComplexes of Block Copolymers in Solution: Tree Approximation
We determine the statistical properties of block copolymer complexes in solution. These complexes are assumed to have the topological structure of (i) a tree or of (ii) a line-dressed tree. In case the structure is that of a tree, the system is shown to undergo a gelation transition at sufficiently high polymer concentration. However, if the structure is that of a line-dressed tree, this transi...
متن کاملSelf-Assembly of Block Copolymers: Theoretical Models and Mathematical Challenges
Recently, topological effects of ring polymers have attracted much attention in various fields of science such as physics, biology and chemistry. DNA knots, knots in proteins, and synthetic ring polymers have been extensively studied not only theoretically but also experimentally. Interestingly, their mesoscopic or macroscopic properties may depend on their topology. The topology of a ring poly...
متن کاملSelf-Assembly of Block Copolymers: Theoretical Models and Mathematical Challenges
S (in alphabetic order by speaker surname) Speaker: Masao Doi Title: Computational Implementation of Ohta-Kawasaki Density Functional for Block Polymers having General Architecture Abstract: The Ohta-Kawasaki theory gives a simple expression for the free energy of the melt of block copolymers as a functional of the density distribution of each blocks. Here I will discuss how to generalize this ...
متن کاملNanoparticle ordering via functionalized block copolymers in solution.
We consider nanoparticles and functionalized copolymers, block copolymers with attached end groups possessing a specific affinity for nanoparticles, in solution. Using molecular dynamics, we show that nanoparticles are able to direct the self-assembly of the polymer/nanoparticle composite. We perform a detailed study for a wide range of nanoparticle sizes and concentrations. We show that the na...
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: Journal of Statistical Physics
سال: 1989
ISSN: 0022-4715,1572-9613
DOI: 10.1007/bf01020050