An efficient pseudo-spectral numerical method is introduced for calculating aself-consistent field (SCF) approximation for the linear susceptibility ofordered phases in block copolymer melts (sometimes referred to as the randomphase approximation). Our method is significantly more efficient than that usedin the first calculations of this quantity by Shi, Laradji and coworkers,allowing for the study of more strongly segregated structures. We havere-examined the stability of several phases of diblock copolymer melts, andfind that some conclusions of Laradji et al. regarding the stability of theGyroid phase were the result of insufficient spatial resolution. We find thatan epitaxial (k=0) instability of the Gyroid phase with respect to thehexagonal phase that was considered previously by Matsen competes extremelyclosely with an instability that occurs at a nonzero crystal wavevector k.
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