%0 Journal Article %1 e81e9c1b7cc9442384dcc3a8c2630e86 %A Singh, Abhinav %A Vagne, Quentin %A Jülicher, Frank %A Sbalzarini, Ivo F. %D 2023 %I American Physical Society, College Park %J Physical Review Research %K topic_lifescience FIS_scads imported %N 2 %R 10.1103/PhysRevResearch.5.L022061 %T Spontaneous flow instabilities of active polar fluids in three dimensions %V 5 %X Active polar fluids exhibit spontaneous flow when sufficient active stress is generated by internal molecular mechanisms. This is also referred to as an active Fréedericksz transition. Experiments have revealed the existence of competing in-plane and out-of-plane instabilities in three-dimensional active matter. So far, however, a theoretical model reconciling all observations is missing. In particular, the role of boundary conditions in these instabilities still needs to be explained. Here, we characterize the spontaneous flow transition in a symmetry-preserving three-dimensional active Ericksen-Leslie model, showing that the boundary conditions select the emergent behavior. Using nonlinear numerical solutions and linear perturbation analysis, we explain the mechanism for both in-plane and out-of-plane instabilities under extensile active stress for perpendicular polarity anchoring at the boundary, whereas parallel anchoring only permits in-plane flows under contractile stress or out-of-plane wrinkling under extensile stress.

@article{e81e9c1b7cc9442384dcc3a8c2630e86, abstract = {Active polar fluids exhibit spontaneous flow when sufficient active stress is generated by internal molecular mechanisms. This is also referred to as an active Fr{\'e}edericksz transition. Experiments have revealed the existence of competing in-plane and out-of-plane instabilities in three-dimensional active matter. So far, however, a theoretical model reconciling all observations is missing. In particular, the role of boundary conditions in these instabilities still needs to be explained. Here, we characterize the spontaneous flow transition in a symmetry-preserving three-dimensional active Ericksen-Leslie model, showing that the boundary conditions select the emergent behavior. Using nonlinear numerical solutions and linear perturbation analysis, we explain the mechanism for both in-plane and out-of-plane instabilities under extensile active stress for perpendicular polarity anchoring at the boundary, whereas parallel anchoring only permits in-plane flows under contractile stress or out-of-plane wrinkling under extensile stress.}, added-at = {2024-11-28T16:27:18.000+0100}, author = {Singh, Abhinav and Vagne, Quentin and J{\"u}licher, Frank and Sbalzarini, {Ivo F.}}, biburl = {https://puma.scadsai.uni-leipzig.de/bibtex/2730923dcd0f020f4217a0449b5e316a5/scadsfct}, doi = {10.1103/PhysRevResearch.5.L022061}, interhash = {d295b2797e12143aa85174740cbbaf19}, intrahash = {730923dcd0f020f4217a0449b5e316a5}, issn = {2643-1564}, journal = {Physical Review Research}, keywords = {topic_lifescience FIS_scads imported}, language = {English}, month = apr, note = {Funding Information: Acknowledgments. This work was supported by the Center for Scalable Data Analytics and Artificial Intelligence (ScaDS.AI) Dresden/Leipzig, funded by the Federal Ministry of Education and Research (BMBF, Bundesministerium f{\"u}r Bildung und Forschung). We thank the Scientific Computing Facility of MPI-CBG and the Center for Information Services and High Performance Computing (ZIH) of TU Dresden for providing the compute resources for the numerical simulations. We thank Philipp Suhrcke (Sbalzarini group) and the anonymous referees for their constructive comments. Publisher Copyright: {\textcopyright} 2023 authors. Published by the American Physical Society.}, number = 2, publisher = {American Physical Society, College Park}, timestamp = {2024-11-28T17:41:28.000+0100}, title = {Spontaneous flow instabilities of active polar fluids in three dimensions}, volume = 5, year = 2023 }