Volume 73, Number 4, February 2006
|Page(s)||614 - 620|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||11 January 2006|
Elastic theory of microphase-separated interconnected structures
Department of Mathematical and Life Sciences, Graduate School of Science Hiroshima University - Higashi-Hiroshima 739-8526, Japan
2 Yukawa Institute for Theoretical Physics, Kyoto University - Kyoto 606-8502, Japan
Accepted: 15 December 2005
Interconnected periodic structures such as the gyroid one appear in microphase separation in block copolymer melts. We derive the elastic free energy of gyroid and diamond structures in a weak-segregation regime by the method formulated by Kawasaki and one of the present authors (TO). It is found that there is a simple relation among the elastic constants in the weak-segregation limit.
PACS: 81.40.Jj – Elasticity and anelasticity, stress-strain relations / 82.35.Jk – Copolymers, phase transitions, structure / 83.80.Uv – Block copolymers
© EDP Sciences, 2006
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