Dependence of the disorder-lamellar stability boundary of a melt of asymmetric wormlike AB diblock copolymers on the chain rigidity.

Abstract

We study the disorder-order transition boundary of wormlile AB diblock copolymers on the basis of the wormlike chain formalism aided by a self-consistent mean-field treatment. We examine the influence of the persistency on the phase diagram and properties of the phase transition as a function of the volume fraction, Flory-Huggins parameter, and relative chain rigidity, covering a broad regime spanning from the Gaussian chain to rigid rodlike chain. On the one hand, we demonstrate that the results from a Gaussian-weight-based theory can be recovered in the long-chain limit and, on the other hand, we display that significant revisions to the phase diagram, due to the persistency effects, exist for shorter chains. A split-step numerical algorithm is designed for the computational task.

Cite this paper

@article{Jiang2011DependenceOT, title={Dependence of the disorder-lamellar stability boundary of a melt of asymmetric wormlike AB diblock copolymers on the chain rigidity.}, author={Ying Jiang and W Zhang and Jeff Z. Y. Chen}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2011}, volume={84 4 Pt 1}, pages={041803} }