Defect interactions in the non-reciprocal Cahn–Hilliard model
We present a computational study of the pairwise interactions between defects in the recently introduced non-reciprocal Cahn–Hilliard model. The evolution of a defect pair exhibits dependence upon their corresponding topological charges, initial separation, and the non-reciprocity coupling constant...
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IOP Publishing
2024-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ad9859 |
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| author | Navdeep Rana Ramin Golestanian |
| author_facet | Navdeep Rana Ramin Golestanian |
| author_sort | Navdeep Rana |
| collection | DOAJ |
| description | We present a computational study of the pairwise interactions between defects in the recently introduced non-reciprocal Cahn–Hilliard model. The evolution of a defect pair exhibits dependence upon their corresponding topological charges, initial separation, and the non-reciprocity coupling constant α . We find that the stability of isolated topologically neutral targets significantly affects the pairwise defect interactions. At large separations, defect interactions are small and a defect pair is stable. When positioned in relatively close proximity, a pair of oppositely charged spirals or targets merge to form a single target. At low α , like-charged spirals form rotating bound pairs, which are however torn apart by spontaneously formed targets at high α . Similar preference for charged or neutral solutions is also seen for a spiral target pair where the spiral dominates at low α , but concedes to the target at large α . Our work sheds light on the complex phenomenology of non-reciprocal active matter systems when their collective dynamics involves topological defects. |
| format | Article |
| id | doaj-art-221144c0d7324752a7a0c7399d50d2c7 |
| institution | Kabale University |
| issn | 1367-2630 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj-art-221144c0d7324752a7a0c7399d50d2c72024-12-09T12:21:21ZengIOP PublishingNew Journal of Physics1367-26302024-01-01261212300810.1088/1367-2630/ad9859Defect interactions in the non-reciprocal Cahn–Hilliard modelNavdeep Rana0https://orcid.org/0000-0002-4432-3982Ramin Golestanian1https://orcid.org/0000-0002-3149-4002Max Planck Institute for Dynamics and Self-Organization (MPI-DS) , D-37077 Göttingen, GermanyMax Planck Institute for Dynamics and Self-Organization (MPI-DS) , D-37077 Göttingen, Germany; Rudolf Peierls Centre for Theoretical Physics, University of Oxford , Oxford OX1 3PU, United KingdomWe present a computational study of the pairwise interactions between defects in the recently introduced non-reciprocal Cahn–Hilliard model. The evolution of a defect pair exhibits dependence upon their corresponding topological charges, initial separation, and the non-reciprocity coupling constant α . We find that the stability of isolated topologically neutral targets significantly affects the pairwise defect interactions. At large separations, defect interactions are small and a defect pair is stable. When positioned in relatively close proximity, a pair of oppositely charged spirals or targets merge to form a single target. At low α , like-charged spirals form rotating bound pairs, which are however torn apart by spontaneously formed targets at high α . Similar preference for charged or neutral solutions is also seen for a spiral target pair where the spiral dominates at low α , but concedes to the target at large α . Our work sheds light on the complex phenomenology of non-reciprocal active matter systems when their collective dynamics involves topological defects.https://doi.org/10.1088/1367-2630/ad9859defectsactive matternon-reciprocal interactionspattern formation |
| spellingShingle | Navdeep Rana Ramin Golestanian Defect interactions in the non-reciprocal Cahn–Hilliard model New Journal of Physics defects active matter non-reciprocal interactions pattern formation |
| title | Defect interactions in the non-reciprocal Cahn–Hilliard model |
| title_full | Defect interactions in the non-reciprocal Cahn–Hilliard model |
| title_fullStr | Defect interactions in the non-reciprocal Cahn–Hilliard model |
| title_full_unstemmed | Defect interactions in the non-reciprocal Cahn–Hilliard model |
| title_short | Defect interactions in the non-reciprocal Cahn–Hilliard model |
| title_sort | defect interactions in the non reciprocal cahn hilliard model |
| topic | defects active matter non-reciprocal interactions pattern formation |
| url | https://doi.org/10.1088/1367-2630/ad9859 |
| work_keys_str_mv | AT navdeeprana defectinteractionsinthenonreciprocalcahnhilliardmodel AT ramingolestanian defectinteractionsinthenonreciprocalcahnhilliardmodel |