Journal of Nonlinear Science

, Volume 11, Issue 3, pp 223–236 | Cite as

Scaling Laws in Microphase Separation of Diblock Copolymers

  • R. Choksi


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 result of Ohnishi et al. [23] was for one space dimension. Here, we obtain a similar result for the full three-dimensional problem.


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Copyright information

© Springer-Verlag New York Inc. 2001

Authors and Affiliations

  • R. Choksi
    • 1
  1. 1.Department of Mathematics, Simon Fraser University, Burnaby, BC V5A 1S6, Canada E-mail: choksi@math.sfu.caCA

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