Casimir stresses in active nematic films
We calculate the Casimir stresses in a thin layer of active fluid with nematic order. By using a stochastic hydrodynamic approach for an active fluid layer of finite thickness L , we generalize the Casimir stress for nematic liquid crystals in thermal equilibrium to active systems. We show that the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2019-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab5628 |
| _version_ | 1797750382321991680 |
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| author | Abhik Basu Jean-Francois Joanny Frank Jülicher Jacques Prost |
| author_facet | Abhik Basu Jean-Francois Joanny Frank Jülicher Jacques Prost |
| author_sort | Abhik Basu |
| collection | DOAJ |
| description | We calculate the Casimir stresses in a thin layer of active fluid with nematic order. By using a stochastic hydrodynamic approach for an active fluid layer of finite thickness L , we generalize the Casimir stress for nematic liquid crystals in thermal equilibrium to active systems. We show that the active Casimir stress differs significantly from its equilibrium counterpart. For contractile activity, the active Casimir stress, although attractive like its equilibrium counterpart, diverges logarithmically as L approaches a threshold of the spontaneous flow instability from below. In contrast, for small extensile activity, it is repulsive, has no divergence at any L and has a scaling with L different from its equilibrium counterpart. |
| first_indexed | 2024-03-12T16:32:57Z |
| format | Article |
| id | doaj.art-e144a1b02af64220848f4b60bdb32413 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:32:57Z |
| publishDate | 2019-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-e144a1b02af64220848f4b60bdb324132023-08-08T15:26:34ZengIOP PublishingNew Journal of Physics1367-26302019-01-01211212304610.1088/1367-2630/ab5628Casimir stresses in active nematic filmsAbhik Basu0Jean-Francois Joanny1Frank Jülicher2https://orcid.org/0000-0003-4731-9185Jacques Prost3Condensed Matter Physics Division, Saha Institute of Nuclear Physics, 1/AF, Bidhannagar, Calcutta 700 064, India; Max-Planck-Institut fürPhysik komplexer Systeme, Nöthnitzerstr. 38, 01187 Dresden,Germany, and Cluster of Excellence Physics of Life, TU Dresden, D-01307 Dresden, GermanyInstitut Curie, PSL University 26 rue d’Ulm F-75248 Paris Cedex 05, France; Collège de France 11 place Marcelin Berthelot F-75231 Paris Cedex 05, FranceMax-Planck-Institut fürPhysik komplexer Systeme, Nöthnitzerstr. 38, 01187 Dresden,Germany, and Cluster of Excellence Physics of Life, TU Dresden, D-01307 Dresden, GermanyInstitut Curie, PSL University 26 rue d’Ulm F-75248 Paris Cedex 05, FranceWe calculate the Casimir stresses in a thin layer of active fluid with nematic order. By using a stochastic hydrodynamic approach for an active fluid layer of finite thickness L , we generalize the Casimir stress for nematic liquid crystals in thermal equilibrium to active systems. We show that the active Casimir stress differs significantly from its equilibrium counterpart. For contractile activity, the active Casimir stress, although attractive like its equilibrium counterpart, diverges logarithmically as L approaches a threshold of the spontaneous flow instability from below. In contrast, for small extensile activity, it is repulsive, has no divergence at any L and has a scaling with L different from its equilibrium counterpart.https://doi.org/10.1088/1367-2630/ab5628hydrodynamicsCasimir stressactive fluids |
| spellingShingle | Abhik Basu Jean-Francois Joanny Frank Jülicher Jacques Prost Casimir stresses in active nematic films New Journal of Physics hydrodynamics Casimir stress active fluids |
| title | Casimir stresses in active nematic films |
| title_full | Casimir stresses in active nematic films |
| title_fullStr | Casimir stresses in active nematic films |
| title_full_unstemmed | Casimir stresses in active nematic films |
| title_short | Casimir stresses in active nematic films |
| title_sort | casimir stresses in active nematic films |
| topic | hydrodynamics Casimir stress active fluids |
| url | https://doi.org/10.1088/1367-2630/ab5628 |
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