Diblock Copolymer / Homopolymer Blends: Derivation of a Density Functional Theory

نویسندگان

  • Rustum Choksi
  • Xiaofeng Ren
چکیده

Melts of diblock copolymer / homopolymer blends exhibit multiscale phase separation: (i) macrophase separation into homopolymerand copolymer-rich macrodomains followed by (ii) microphase separation into Aand B-rich microdomains within the copolymer-rich macrodomains (cf. [16, 17, 26]). Following our previous derivation in [6], we derive a density functional theory for blends. This theory has been shown numerically to capture the multiscale separation (cf. [24, 18]). We also prove a result on local minimizers in one space dimension, confirming a lamellar multiscale phase separation. keywords and PACS codes: multiscale phase separation, diblock copolymer/homopolymer blend, density functional theory. 61.25.Hq, 61.43.Bn, 64.70

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تاریخ انتشار 2010