Scaling Laws in Microphase Separation of Diblock Copolymers
- First Online:
- Cite this article as:
- Choksi, R. J. Nonlinear Sci. (2001) 11: 223. doi:10.1007/s00332-001-0456-y
- 92 Views
In this note, we study a nonlocal variational problem modeling microphase separation of diblock copolymers (, , ). We apply certain new tools developed in  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 result of Ohnishi et al.  was for one space dimension. Here, we obtain a similar result for the full three-dimensional problem.