Quantum Physics Division

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Diblock copolymer melt in spherical unit cells of higher dimensionalities

M. Banaszak^{1}
,
A. Koper^{1}
,
P. Knychała^{1}
,
K. Lewandowski^{1}

^{1} Faculty of Physics, Adam Mickiewicz University, Poznań, Poland

**Acta Physica Polonica A, 121(3) (2012)**

Abstract:

Using self-consistent field theory in spherical unit cells of various dimensionality, D=1, 2, 3, and 4, we calculate phase diagram of a diblock, A-b-B, copolymer melt in 4 dimensional space, d=4. The phase diagram is parameterized by the chain composition, f, and incompatibility between A and B, quantified by the product χN. We predict 4 stable nanophases: layers, cylinders, 3D spherical cells, and 4D spherical cells. We also calculate order-disorder and order-order transition lines. In the strong segregation limit, that is for large χN, the order-order transition compositions are determined by the strong segregation theory in its simplest form, for D=1, 2, 3, and 4

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