Geodesic
Uniform energy and density distribution: diblock copolymers’ functional
Emanuele Nunzio Spadaro1
1Universität Zürich, Switzerland
Interfaces and free boundaries, Tome 11 (2009) no. 3, pp. 447-474

Voir la notice de l'article provenant de la source EMS Press

DOI

We study a nonlocal variational problem arising in diblock copolymers models, whose energy is given by the Cahn–Hilliard functional plus a long-range interaction term. We prove that minimizers develop uniform energy and density distributions, thus justifying partially the highly regular microphase separation observed in diblock copolymers’ melts. We also give a new proof of the scaling law for the minimum energy. This work extends the techniques introduced in [1] where analogous results are proved for the sharp interface limit of the functional considered.
DOI : 10.4171/ifb/218
Classification : 35-XX, 70-XX, 49-XX, 00-XX

Emanuele Nunzio Spadaro  1

1 Universität Zürich, Switzerland 
Emanuele Nunzio Spadaro. Uniform energy and density distribution: diblock copolymers’ functional. Interfaces and free boundaries, Tome 11 (2009) no. 3, pp. 447-474. doi: 10.4171/ifb/218
@article{10_4171_ifb_218,
     author = {Emanuele Nunzio Spadaro},
     title = {Uniform energy and density distribution: diblock copolymers{\textquoteright} functional},
     journal = {Interfaces and free boundaries},
     pages = {447--474},
     year = {2009},
     volume = {11},
     number = {3},
     doi = {10.4171/ifb/218},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/218/}
}
TY  - JOUR
AU  - Emanuele Nunzio Spadaro
TI  - Uniform energy and density distribution: diblock copolymers’ functional
JO  - Interfaces and free boundaries
PY  - 2009
SP  - 447
EP  - 474
VL  - 11
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ifb/218/
DO  - 10.4171/ifb/218
ID  - 10_4171_ifb_218
ER  - 
%0 Journal Article
%A Emanuele Nunzio Spadaro
%T Uniform energy and density distribution: diblock copolymers’ functional
%J Interfaces and free boundaries
%D 2009
%P 447-474
%V 11
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/218/
%R 10.4171/ifb/218
%F 10_4171_ifb_218

Cité par Sources :