Mathematics (HMC), Chemistry (HMC)
Diblock copolymers confined to a two-dimensional surface may produce uniform features of macromolecular dimensions (∼10–100 nm). We present a mathematical model for nanoscale pattern formation in such polymers that captures the dynamic evolution of a solution of poly(styrene)-b-poly(ethylene oxide), PS-b-PEO, in solvent at an air-water interface. The model has no fitting parameters and incorporates the effects of surface tension gradients, entanglement or vitrification, and diffusion. The resultant morphologies are quantitatively compared with experimental data.
© 2005 The American Physical Society
A. E. Hosoi, D. Kogan, C.E. Devereaux, A. J. Bernoff & S. M. Baker. "Two-Dimensional Self-Assembly in Diblock Copolymers," Phys. Rev. Lett. 95 (2005).