Efficiency of navigation strategies for active particles in rugged landscapes
Optimal navigation in complex environments is a problem with multiple applications ranging from designing efficient search strategies to engineering microscopic cargo delivery. When motion happens in presence of strong external forces, route optimization is particularly important as active particles...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2022-11-01
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| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2022.1034267/full |
| _version_ | 1811231994764328960 |
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| author | Lorenzo Piro Ramin Golestanian Ramin Golestanian Benoît Mahault |
| author_facet | Lorenzo Piro Ramin Golestanian Ramin Golestanian Benoît Mahault |
| author_sort | Lorenzo Piro |
| collection | DOAJ |
| description | Optimal navigation in complex environments is a problem with multiple applications ranging from designing efficient search strategies to engineering microscopic cargo delivery. When motion happens in presence of strong external forces, route optimization is particularly important as active particles may encounter trapping regions that would substantially slow down their progress. Here, considering a self-propelled agent moving at a constant speed, we study the efficiency of Zermelo’s classical solution for navigation in a sinusoidal potential landscape. Investigating both cases of motion on the plane and on curved surfaces, we focus on the regime where the external force exceeds self-propulsion in finite regions. There, we show that, despite the fact that most trajectories following the trivial policy of going straight get arrested, the Zermelo policy allows for a comprehensive exploration of the environment. However, our results also indicate an increased sensitivity of the Zermelo strategy to initial conditions, which limits its robustness and long-time efficiency, particularly in presence of fluctuations. These results suggest an interesting trade-off between exploration efficiency and stability for the design of control strategies to be implemented in real systems. |
| first_indexed | 2024-04-12T10:55:46Z |
| format | Article |
| id | doaj.art-ad12a546d96144c1a7869de3be7c6f2c |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-04-12T10:55:46Z |
| publishDate | 2022-11-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-ad12a546d96144c1a7869de3be7c6f2c2022-12-22T03:36:06ZengFrontiers Media S.A.Frontiers in Physics2296-424X2022-11-011010.3389/fphy.2022.10342671034267Efficiency of navigation strategies for active particles in rugged landscapesLorenzo Piro0Ramin Golestanian1Ramin Golestanian2Benoît Mahault3Max Planck Institute for Dynamics and Self-Organization, Göttingen, GermanyMax Planck Institute for Dynamics and Self-Organization, Göttingen, GermanyRudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford, United KingdomMax Planck Institute for Dynamics and Self-Organization, Göttingen, GermanyOptimal navigation in complex environments is a problem with multiple applications ranging from designing efficient search strategies to engineering microscopic cargo delivery. When motion happens in presence of strong external forces, route optimization is particularly important as active particles may encounter trapping regions that would substantially slow down their progress. Here, considering a self-propelled agent moving at a constant speed, we study the efficiency of Zermelo’s classical solution for navigation in a sinusoidal potential landscape. Investigating both cases of motion on the plane and on curved surfaces, we focus on the regime where the external force exceeds self-propulsion in finite regions. There, we show that, despite the fact that most trajectories following the trivial policy of going straight get arrested, the Zermelo policy allows for a comprehensive exploration of the environment. However, our results also indicate an increased sensitivity of the Zermelo strategy to initial conditions, which limits its robustness and long-time efficiency, particularly in presence of fluctuations. These results suggest an interesting trade-off between exploration efficiency and stability for the design of control strategies to be implemented in real systems.https://www.frontiersin.org/articles/10.3389/fphy.2022.1034267/fullZermelo problemoptimal navigationexploration strategiesactive particleschaotic dynamicsRiemannian geometry |
| spellingShingle | Lorenzo Piro Ramin Golestanian Ramin Golestanian Benoît Mahault Efficiency of navigation strategies for active particles in rugged landscapes Frontiers in Physics Zermelo problem optimal navigation exploration strategies active particles chaotic dynamics Riemannian geometry |
| title | Efficiency of navigation strategies for active particles in rugged landscapes |
| title_full | Efficiency of navigation strategies for active particles in rugged landscapes |
| title_fullStr | Efficiency of navigation strategies for active particles in rugged landscapes |
| title_full_unstemmed | Efficiency of navigation strategies for active particles in rugged landscapes |
| title_short | Efficiency of navigation strategies for active particles in rugged landscapes |
| title_sort | efficiency of navigation strategies for active particles in rugged landscapes |
| topic | Zermelo problem optimal navigation exploration strategies active particles chaotic dynamics Riemannian geometry |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2022.1034267/full |
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