Elastic theory of microphase-separated interconnected structuresK. Yamada1, 2 and T. Ohta2
1 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
received 20 October 2005; accepted 15 December 2005
published online 11 January 2006
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.
81.40.Jj - Elasticity and anelasticity, stress-strain relations.
82.35.Jk - Copolymers, phase transitions, structure.
83.80.Uv - Block copolymers.
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