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Competing routes to spontaneous flow in confined active nematics
Abstract
Active nematics can spontaneously develop flow beyond a critical activity in confined geometries. We show analytically that the onset of flow is governed by two competing instabilities: a long-wavelength mode leading to unidirectional flow and a finite-wavelength instability producing transverse rolls. A reduced description reveals how activity, flow alignment, and nematic elasticity control the competition between these modes. We identify regimes in which the finite-wavelength instability has a lower critical activity than the long-wavelength instability, causing vortices to emerge before unidirectional flow. This establishes wavelength selection as an intrinsic feature of the onset of spontaneous flow in active nematics.
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BibTeX
@misc{valani2026competing,
title = {{Competing routes to spontaneous flow in confined active nematics}},
author = {Rahil N. Valani and Vedad Dzanic and Julia M. Yeomans and Sumesh P. Thampi},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.20786},
eprint = {2609.20786},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.20786},
}
RIS
TY - UNPB
TI - Competing routes to spontaneous flow in confined active nematics
AU - Rahil N. Valani
AU - Vedad Dzanic
AU - Julia M. Yeomans
AU - Sumesh P. Thampi
PY - 2026
DA - 2026/10/05
PB - arXiv
DO - 10.48550/arxiv.2609.20786
UR - https://arxiv.org/abs/2609.20786
AB - Active nematics can spontaneously develop flow beyond a critical activity in confined geometries. We show analytically that the onset of flow is governed by two competing instabilities: a long-wavelength mode leading to unidirectional flow and a finite-wavelength instability producing transverse rolls. A reduced description reveals how activity, flow alignment, and nematic elasticity control the competition between these modes. We identify regimes in which the finite-wavelength instability has a lower critical activity than the long-wavelength instability, causing vortices to emerge before unidirectional flow. This establishes wavelength selection as an intrinsic feature of the onset of spontaneous flow in active nematics.
ER -