# Motility of active nematic films driven by "active anchoring"

## TL;DR

This paper introduces a minimal model for active nematic films that exhibit spontaneous directed flows due to active anchoring, with potential applications in microfluidics and self-assembly.

## Contribution

It develops a combined analytical and simulation model demonstrating flow reversal and surface instabilities driven by active anchoring in nematic films.

## Key findings

- Flow spontaneously emerges when active anchoring opposes substrate anchoring.
- Flow direction can be reversed by changing initial conditions.
- Surface instabilities lead to propagating waves and irregular deformations.

## Abstract

We provide a minimal model for an active nematic film in contact with both a solid substrate and a passive isotropic fluid, and explore its dynamics in one and two dimensions using a combination of hybrid Lattice Boltzmann simulations and analytical calculations. By imposing nematic anchoring at the substrate while active flows induce a preferred alignment at the interface ("active anchoring"), we demonstrate that directed fluid flow spontaneously emerges in cases where the two anchoring types are opposing. In one dimension, our model reduces to an analogue of a loaded elastic column. Here, the transition from a stationary to a motile state is akin to the buckling bifurcation, but offers the possilibity to reverse the flow direction for a given set of parameters and boundary conditions solely by changing initial conditions. The two-dimensional variant of our model allows for additional tangential instabilities, leading to self-assembled propagating surface waves for intermediate activity and for a continously deforming irregular surface at high activity. Our results might be relevant for designing active microfluidic geometries, but also for curvature-guided self-assembly or switchable diffraction gratings.