Hydrodynamic length-scale selection in microswimmer suspensions
A universal characteristic of mesoscale turbulence in active suspensions is the emergence of a typical vortex length scale, distinctly different from the scale invariance of turbulent high-Reynolds number flows. Collective length-scale selection has been observed in bacterial fluids, endothelial tis...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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American Physical Society
2017
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| Online Access: | http://hdl.handle.net/1721.1/110385 https://orcid.org/0000-0001-8865-2369 |
| _version_ | 1826200808903933952 |
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| author | Heidenreich, Sebastian Klapp, Sabine H. L. Bär, Markus Dunkel, Joern |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Heidenreich, Sebastian Klapp, Sabine H. L. Bär, Markus Dunkel, Joern |
| author_sort | Heidenreich, Sebastian |
| collection | MIT |
| description | A universal characteristic of mesoscale turbulence in active suspensions is the emergence of a typical vortex length scale, distinctly different from the scale invariance of turbulent high-Reynolds number flows. Collective length-scale selection has been observed in bacterial fluids, endothelial tissue, and active colloids, yet the physical origins of this phenomenon remain elusive. Here, we systematically derive an effective fourth-order field theory from a generic microscopic model that allows us to predict the typical vortex size in microswimmer suspensions. Building on a self-consistent closure condition, the derivation shows that the vortex length scale is determined by the competition between local alignment forces, rotational diffusion, and intermediate-range hydrodynamic interactions. Vortex structures found in simulations of the theory agree with recent measurements in Bacillus subtilis suspensions. Moreover, our approach yields an effective viscosity enhancement (reduction), as reported experimentally for puller (pusher) microorganisms. |
| first_indexed | 2024-09-23T11:42:08Z |
| format | Article |
| id | mit-1721.1/110385 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:42:08Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1103852022-09-27T21:20:06Z Hydrodynamic length-scale selection in microswimmer suspensions Heidenreich, Sebastian Klapp, Sabine H. L. Bär, Markus Dunkel, Joern Massachusetts Institute of Technology. Department of Mathematics Dunkel, Joern A universal characteristic of mesoscale turbulence in active suspensions is the emergence of a typical vortex length scale, distinctly different from the scale invariance of turbulent high-Reynolds number flows. Collective length-scale selection has been observed in bacterial fluids, endothelial tissue, and active colloids, yet the physical origins of this phenomenon remain elusive. Here, we systematically derive an effective fourth-order field theory from a generic microscopic model that allows us to predict the typical vortex size in microswimmer suspensions. Building on a self-consistent closure condition, the derivation shows that the vortex length scale is determined by the competition between local alignment forces, rotational diffusion, and intermediate-range hydrodynamic interactions. Vortex structures found in simulations of the theory agree with recent measurements in Bacillus subtilis suspensions. Moreover, our approach yields an effective viscosity enhancement (reduction), as reported experimentally for puller (pusher) microorganisms. 2017-06-30T14:36:12Z 2017-06-30T14:36:12Z 2016-08 2015-12 2016-08-09T22:00:08Z Article http://purl.org/eprint/type/JournalArticle 2470-0045 2470-0053 http://hdl.handle.net/1721.1/110385 Heidenreich, Sebastian; Dunkel, Jörn; Klapp, Sabine H. L. and Bär, Markus. "Hydrodynamic length-scale selection in microswimmer suspensions." Physical Review E 94, 020601(R): 1-6 © 2016 American Physical Society https://orcid.org/0000-0001-8865-2369 en http://dx.doi.org/10.1103/PhysRevE.94.020601 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Heidenreich, Sebastian Klapp, Sabine H. L. Bär, Markus Dunkel, Joern Hydrodynamic length-scale selection in microswimmer suspensions |
| title | Hydrodynamic length-scale selection in microswimmer suspensions |
| title_full | Hydrodynamic length-scale selection in microswimmer suspensions |
| title_fullStr | Hydrodynamic length-scale selection in microswimmer suspensions |
| title_full_unstemmed | Hydrodynamic length-scale selection in microswimmer suspensions |
| title_short | Hydrodynamic length-scale selection in microswimmer suspensions |
| title_sort | hydrodynamic length scale selection in microswimmer suspensions |
| url | http://hdl.handle.net/1721.1/110385 https://orcid.org/0000-0001-8865-2369 |
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