Lifshitz points in blends of AB and BC diblock copolymers

TL;DR

This paper explores the complex phase behavior in blends of AB and BC diblock copolymers, revealing multiple Lifshitz points of various orders due to the rich parameter space.

Contribution

It introduces the possibility of multiple order Lifshitz points in copolymer blends, expanding understanding of phase diagram topologies.

Findings

Identification of various phase diagram topologies

Demonstration of first and second order Lifshitz points

Theoretical argument for up to 5th order Lifshitz points

Abstract

We consider micro- and macro- phase separation in blends of AB and BC diblock copolymers. We show that, depending on architecture, a number of phase diagram topologies are possible. Microphase separation or macrophase separation can occur, and there are a variety of possible Lifshitz points. Because of the rich parameter space, Lifshitz points of multiple order are possible. We demonstrate Lifshitz points of first and second order, and argue that, in principle, up to 5th order Lifshitz points are possible.