The Role of Elastic Anisotropy in Active Nematics

Fuente: arXiv
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Main Author: Houston, Alexander J. H.
Format: Preprint
Published: 2025
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author Houston, Alexander J. H.
author_facet Houston, Alexander J. H.
contents We analyse the effect of anisotropy in elastic constants on the hydrodynamics of active nematics. Building on the multipole framework for a single elastic constant, we determine the leading effect of elastic anisotropy on the active response of generic distortions. The key findings are a new active torque, proportional to the anisotropy, in response to monopole distortions, and modifications to the propulsion of dipoles in both the direction of motion and changes in speed of up to 50\%. For point defects in two dimensions we find that, despite the large morphological changes in the director field, elastic anisotropy has only a minor impact on their hydrodynamics, with the self-propulsion speed of $+1/2$ defects lowered by less than 5\%. Finally, we determine the elastic torques exerted on defect pairs due to elastic anisotropy.
format Preprint
id arxiv_https___arxiv_org_abs_2511_08520
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Role of Elastic Anisotropy in Active Nematics
Houston, Alexander J. H.
Soft Condensed Matter
We analyse the effect of anisotropy in elastic constants on the hydrodynamics of active nematics. Building on the multipole framework for a single elastic constant, we determine the leading effect of elastic anisotropy on the active response of generic distortions. The key findings are a new active torque, proportional to the anisotropy, in response to monopole distortions, and modifications to the propulsion of dipoles in both the direction of motion and changes in speed of up to 50\%. For point defects in two dimensions we find that, despite the large morphological changes in the director field, elastic anisotropy has only a minor impact on their hydrodynamics, with the self-propulsion speed of $+1/2$ defects lowered by less than 5\%. Finally, we determine the elastic torques exerted on defect pairs due to elastic anisotropy.
title The Role of Elastic Anisotropy in Active Nematics
topic Soft Condensed Matter
url https://arxiv.org/abs/2511.08520