This article explores global geometric features of bicontinuous space-partitions and their relevance to self-assembly of block-copolymers. Using a robust definition of `local channel radius', based on the concept of a medial surface [Schröder et al., Eur. Phys. J. B <Emphasis Type="Bold">35, 551 (2003)], we...</emphasis>

Conditions of local and global thermodynamic stability of spatially-periodic mesophases formed in an incompressible melt of binary monodisperse copolymers with molecules of arbitrary chemical structure are theoretically scrutinized. For the first time a bifurcation analysis of the Landau free...

Balanced infinite periodic minimal surface families that contain the cubic Gyroid (G), Diamond (D) and Primitive (P) surfaces are studied in terms of their global packing and local curvature properties. These properties are central to understanding the formation of mesophases in amphiphile and...