4.6 Article

Nonlocal effects on a 1D generalized Ohta-Kawasaki model

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On the Ternary Ohta-Kawasaki Free Energy and Its One-dimensional Global Minimizers

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Summary: This study investigates the ternary Ohta-Kawasaki free energy used for modeling triblock copolymer systems and finds that the one-dimensional global minimizers may exhibit noncyclic patterns, contrary to previous conjectures. By comparing the free energies of different patterns, it is revealed that global minimizers may have significantly different patterns under different parameter regimes. To unify the choices of long-range coefficient matrix, a reformulation of the long-range term using a generalized charge interpretation is proposed, along with conditions on the matrix to reproduce physically relevant nanostructures of block copolymers.

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