The Toulouse–Kleman homotopic classification of topological defects in ordered systems illustrated by experiments
Classification of defects in ordered systems, based on the homotopy theory, conceived by Gérard Toulouse and Maurice Kléman has a very wide range of applications. We illustrate its modus operandi with three experimental examples. We deal first with dislocations in a dissipative periodic pattern of c...
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Académie des sciences
2024-12-01
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| Series: | Comptes Rendus. Physique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.206/ |
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| author | Pieranski, Pawel Godinho, Maria Helena |
| author_facet | Pieranski, Pawel Godinho, Maria Helena |
| author_sort | Pieranski, Pawel |
| collection | DOAJ |
| description | Classification of defects in ordered systems, based on the homotopy theory, conceived by Gérard Toulouse and Maurice Kléman has a very wide range of applications. We illustrate its modus operandi with three experimental examples. We deal first with dislocations in a dissipative periodic pattern of convection rolls in a shear flow instability in nematics. As the second example we chose the captive disclination loops threaded on polymer fibers immersed in nematics. Third, we focus on objects with double topological character defined for the first time in the generic article coauthored by Gérard Toulouse: the “double et tripple anneau” Hopf links made of interlaced dislocation loops in cholesterics. Finally, we report on the recent discovery of their generalised, beads necklace version made of many minimal dislocation loops threaded, like pearls, on a string-like dislocation loops. |
| format | Article |
| id | doaj-art-a935e6d2139940fba908097b35a7e169 |
| institution | Kabale University |
| issn | 1878-1535 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Physique |
| spelling | doaj-art-a935e6d2139940fba908097b35a7e1692025-02-07T13:53:46ZengAcadémie des sciencesComptes Rendus. Physique1878-15352024-12-0125G136738810.5802/crphys.20610.5802/crphys.206The Toulouse–Kleman homotopic classification of topological defects in ordered systems illustrated by experimentsPieranski, Pawel0https://orcid.org/0000-0002-7133-0790Godinho, Maria Helena1https://orcid.org/0000-0002-7133-0790Laboratoire de Physique des Solides, Université Paris-Saclay, Orsay, Francei3N/CENIMAT, Department of Materials Science, NOVA School of Science and Technology, NOVA University Lisbon, Campus de Caparica, Caparica 2829 - 516, PortugalClassification of defects in ordered systems, based on the homotopy theory, conceived by Gérard Toulouse and Maurice Kléman has a very wide range of applications. We illustrate its modus operandi with three experimental examples. We deal first with dislocations in a dissipative periodic pattern of convection rolls in a shear flow instability in nematics. As the second example we chose the captive disclination loops threaded on polymer fibers immersed in nematics. Third, we focus on objects with double topological character defined for the first time in the generic article coauthored by Gérard Toulouse: the “double et tripple anneau” Hopf links made of interlaced dislocation loops in cholesterics. Finally, we report on the recent discovery of their generalised, beads necklace version made of many minimal dislocation loops threaded, like pearls, on a string-like dislocation loops.https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.206/topological defectsdislocationsknotslinkstangles |
| spellingShingle | Pieranski, Pawel Godinho, Maria Helena The Toulouse–Kleman homotopic classification of topological defects in ordered systems illustrated by experiments Comptes Rendus. Physique topological defects dislocations knots links tangles |
| title | The Toulouse–Kleman homotopic classification of topological defects in ordered systems illustrated by experiments |
| title_full | The Toulouse–Kleman homotopic classification of topological defects in ordered systems illustrated by experiments |
| title_fullStr | The Toulouse–Kleman homotopic classification of topological defects in ordered systems illustrated by experiments |
| title_full_unstemmed | The Toulouse–Kleman homotopic classification of topological defects in ordered systems illustrated by experiments |
| title_short | The Toulouse–Kleman homotopic classification of topological defects in ordered systems illustrated by experiments |
| title_sort | toulouse kleman homotopic classification of topological defects in ordered systems illustrated by experiments |
| topic | topological defects dislocations knots links tangles |
| url | https://comptes-rendus.academie-sciences.fr/physique/articles/10.5802/crphys.206/ |
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