We view the free energy of a diblock copolymer system as a variational problem, in which the integrand of the functional contains an interesting nonlocal term, and a small parameter ε. We prove that as ε approaches 0, the energy minimizers develop a growing number, of the order ε−1/3, of periodic oscillations, explaining the micro-phase separation phenomenon.
1
Utah State University, Logan, USA
2
University of British Columbia, Vancouver, Canada
Xiaofeng Ren; Juncheng Wei. On energy minimizers of the diblock copolymer problem. Interfaces and free boundaries, Tome 5 (2003) no. 2, pp. 193-238. doi: 10.4171/ifb/78
@article{10_4171_ifb_78,
author = {Xiaofeng Ren and Juncheng Wei},
title = {On energy minimizers of the diblock copolymer problem},
journal = {Interfaces and free boundaries},
pages = {193--238},
year = {2003},
volume = {5},
number = {2},
doi = {10.4171/ifb/78},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/78/}
}
TY - JOUR
AU - Xiaofeng Ren
AU - Juncheng Wei
TI - On energy minimizers of the diblock copolymer problem
JO - Interfaces and free boundaries
PY - 2003
SP - 193
EP - 238
VL - 5
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4171/ifb/78/
DO - 10.4171/ifb/78
ID - 10_4171_ifb_78
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%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/78/
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