Theory of microphase separation in bidisperse chiral membranes

Abstract

We present a Ginzburg-Landau theory of micro phase separation in a bidisperse chiral membrane consisting of rods of opposite handendness. This model system undergoes a phase transition from an equilibrium state where the two components are completely phase separated to a microphase separated state composed of domains of a finite size comparable to the twist penetration depth. Characterizing the phenomenology using linear stability analysis and numerical studies, we trace the origin of the discontinuous change in domain size that occurs during this to a competition between the cost of creating an interface and the gain in twist energy for small domains in which the twist penetrates deep into the center of the domain.

References in corpus (6)

• Chirality and Equilibrium Biopolymer Bundles
• Hierarchical organization of chiral rafts in colloidal membranes
• Entropic forces stabilize diverse emergent structures in colloidal membranes
• Chiral twist drives raft formation and organization in membranes composed of rod-like particles
• Energy Stable Multigrid Method for Local and Non-local Hydrodynamic Models for Freezing
• Interaction of chiral rafts in self-assembled colloidal membranes

Cited by in corpus (4)

• Equilibrium mechanisms of self-limiting assembly
• Chiral twist drives raft formation and organization in membranes composed of rod-like particles
• Filamentous phages as building blocks for reconfigurable and hierarchical self-assembly
• Conformational switching of chiral colloidal rafts regulates raft-raft attractions and repulsions