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Yadav A, J K, Chandrasekar VK, Zou W, Kurths J, Senthilkumar DV. Exotic swarming dynamics of high-dimensional swarmalators. Phys Rev E 2024; 109:044212. [PMID: 38755849 DOI: 10.1103/physreve.109.044212] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/08/2024] [Accepted: 03/28/2024] [Indexed: 05/18/2024]
Abstract
Swarmalators are oscillators that can swarm as well as sync via a dynamic balance between their spatial proximity and phase similarity. Swarmalator models employed so far in the literature comprise only one-dimensional phase variables to represent the intrinsic dynamics of the natural collectives. Nevertheless, the latter can indeed be represented more realistically by high-dimensional phase variables. For instance, the alignment of velocity vectors in a school of fish or a flock of birds can be more realistically set up in three-dimensional space, while the alignment of opinion formation in population dynamics could be multidimensional, in general. We present a generalized D-dimensional swarmalator model, which more accurately captures self-organizing behaviors of a plethora of real-world collectives by self-adaptation of high-dimensional spatial and phase variables. For a more sensible visualization and interpretation of the results, we restrict our simulations to three-dimensional spatial and phase variables. Our model provides a framework for modeling complicated processes such as flocking, schooling of fish, cell sorting during embryonic development, residential segregation, and opinion dynamics in social groups. We demonstrate its versatility by capturing the maneuvers of a school of fish, qualitatively and quantitatively, by a suitable extension of the original model to incorporate appropriate features besides a gallery of its intrinsic self-organizations for various interactions. We expect the proposed high-dimensional swarmalator model to be potentially useful in describing swarming systems and programmable and reconfigurable collectives in a wide range of disciplines, including the physics of active matter, developmental biology, sociology, and engineering.
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Affiliation(s)
- Akash Yadav
- School of Physics, Indian Institute of Science Education and Research Thiruvananthapuram, Kerala 695551, India
| | - Krishnanand J
- School of Physics, Indian Institute of Science Education and Research Thiruvananthapuram, Kerala 695551, India
| | - V K Chandrasekar
- Center for Nonlinear Science and Engineering, SASTRA Deemed University, Thanjavur, Tamil Nadu 613401, India
| | - Wei Zou
- School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
| | - Jürgen Kurths
- Potsdam Institute for Climate Impact Research, Telegraphenberg, D-14415 Potsdam, Germany
- Institute of Physics, Humboldt University Berlin, D-12489 Berlin, Germany
- Research Institute of Intelligent Complex Systems, Fudan University, Shanghai 200433, China
| | - D V Senthilkumar
- School of Physics, Indian Institute of Science Education and Research Thiruvananthapuram, Kerala 695551, India
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Feng W, He Q, Zhang L. Embedded Physical Intelligence in Liquid Crystalline Polymer Actuators and Robots. ADVANCED MATERIALS (DEERFIELD BEACH, FLA.) 2024:e2312313. [PMID: 38375751 DOI: 10.1002/adma.202312313] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/17/2023] [Revised: 01/27/2024] [Indexed: 02/21/2024]
Abstract
Responsive materials possess the inherent capacity to autonomously sense and respond to various external stimuli, demonstrating physical intelligence. Among the diverse array of responsive materials, liquid crystalline polymers (LCPs) stand out for their remarkable reversible stimuli-responsive shape-morphing properties and their potential for creating soft robots. While numerous reviews have extensively detailed the progress in developing LCP-based actuators and robots, there exists a need for comprehensive summaries that elucidate the underlying principles governing actuation and how physical intelligence is embedded within these systems. This review provides a comprehensive overview of recent advancements in developing actuators and robots endowed with physical intelligence using LCPs. This review is structured around the stimulus conditions and categorizes the studies involving responsive LCPs based on the fundamental control and stimulation logic and approach. Specifically, three main categories are examined: systems that respond to changing stimuli, those operating under constant stimuli, and those equip with learning and logic control capabilities. Furthermore, the persisting challenges that need to be addressed are outlined and discuss the future avenues of research in this dynamic field.
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Affiliation(s)
- Wei Feng
- Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Hong Kong, China
| | - Qiguang He
- Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Hong Kong, China
| | - Li Zhang
- Department of Mechanical and Automation Engineering, The Chinese University of Hong Kong, Hong Kong, China
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Adorjáni B, Libál A, Reichhardt C, Reichhardt CJO. Motility-induced phase separation and frustration in active matter swarmalators. Phys Rev E 2024; 109:024607. [PMID: 38491624 DOI: 10.1103/physreve.109.024607] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/26/2023] [Accepted: 01/09/2024] [Indexed: 03/18/2024]
Abstract
We introduce a two dimensional system of active matter swarmalators composed of elastically interacting run-and-tumble active disks with an internal parameter ϕ_{i}. The disks experience an additional attractive or repulsive force with neighboring disks depending upon their relative difference in ϕ_{i}, making them similar to swarmalators used in robotic systems. In the absence of the internal parameter, the system forms a motility-induced phase separated (MIPS) state, but when the swarmalator interactions are present, a wide variety of other active phases appear depending upon whether the interaction is attractive or repulsive and whether the particles act to synchronize or ant-synchronize their internal parameter values. These phases include a gas-free gel regime, arrested clusters, a labyrinthine state, a regular MIPS state, a frustrated MIPS state for attractive antisynchronization, and a superlattice MIPS state for attractive synchronization.
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Affiliation(s)
- B Adorjáni
- Mathematics and Computer Science Department, Babeş-Bolyai University, Cluj 400084, Romania
| | - A Libál
- Mathematics and Computer Science Department, Babeş-Bolyai University, Cluj 400084, Romania
| | - C Reichhardt
- Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
| | - C J O Reichhardt
- Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
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Hao B, Zhong M, O'Keeffe K. Attractive and repulsive interactions in the one-dimensional swarmalator model. Phys Rev E 2023; 108:064214. [PMID: 38243440 DOI: 10.1103/physreve.108.064214] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 09/06/2023] [Accepted: 11/30/2023] [Indexed: 01/21/2024]
Abstract
We study a population of swarmalators, mobile variants of phase oscillators, which run on a ring and have both attractive and repulsive interactions. This one-dimensional (1D) swarmalator model produces several of collective states: the standard sync and async states as well as a splaylike "polarized" state and several unsteady states such as active bands or swirling. The model's simplicity allows us to describe some of the states analytically. The model can be considered as a toy model for real-world swarmalators such as vinegar eels and sperm which swarm in quasi-1D geometries.
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Affiliation(s)
- Baoli Hao
- Department of Applied Mathematics, Illinois Institute of Technology, Chicago, Illinois 60616, USA
| | - Ming Zhong
- Department of Applied Mathematics, Illinois Institute of Technology, Chicago, Illinois 60616, USA
| | - Kevin O'Keeffe
- Senseable City Lab, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
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Zhu S, Cheng Y, Wang J, Liu G, Luo T, Li X, Yang S, Yang R. Biohybrid magnetic microrobots: An intriguing and promising platform in biomedicine. Acta Biomater 2023; 169:88-106. [PMID: 37572981 DOI: 10.1016/j.actbio.2023.08.005] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/30/2023] [Revised: 07/19/2023] [Accepted: 08/03/2023] [Indexed: 08/14/2023]
Abstract
Biohybrid magnetic microrobots (BMMs) have emerged as an exciting class of microrobots and have been considered as a promising platform in biomedicine. Many microorganisms and body's own cells show intriguing properties, such as morphological characteristics, biosafety, and taxis abilities (e.g., chemotaxis, aerotaxis), which have made them attractive for the fabrication of microrobots. For remote controllability and sustainable actuation, magnetic components are usually incorporated onto these biological entities, and other functionalized non-biological components (e.g., therapeutic agents) are also included for specific applications. This review highlights the latest developments in BMMs with a focus on their biomedical applications. It starts by introducing the fundamental understanding of the propulsion system at the microscale in a magnetically driven manner, followed by a summary of diverse BMMs based on different microorganisms and body's own cells along with their relevant applications. Finally, the review discusses how BMMs contribute to the advancements of microrobots, the current challenges of using BMMs in practical clinical settings, and the future perspectives of this exciting field. STATEMENT OF SIGNIFICANCE: Biohybrid magnetic microrobots (BMMs), composed of biological entities and functional parts, hold great potential and serve as a novel and promising platform for biomedical applications such as targeted drug delivery. This review comprehensively summarizes the recent advancements in BMMs for biomedical applications, mainly focused on the representative propulsion modalities in a magnetically propelled manner and diverse designs of BMMs based on different biological entities, including microorganisms and body's own cells. We hope this review can provide ideas for the future design, development, and innovation of micro/nanorobots in the field of biomedicine.
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Affiliation(s)
- Shilu Zhu
- School of Biomedical Engineering, 3D-Printing and Tissue Engineering Center, Anhui Medical University, Hefei 230032, China
| | - Yifan Cheng
- School of Biomedical Engineering, 3D-Printing and Tissue Engineering Center, Anhui Medical University, Hefei 230032, China
| | - Jian Wang
- School of Biomedical Engineering, 3D-Printing and Tissue Engineering Center, Anhui Medical University, Hefei 230032, China
| | - Guangli Liu
- School of Biomedical Engineering, 3D-Printing and Tissue Engineering Center, Anhui Medical University, Hefei 230032, China
| | - Tingting Luo
- School of Biomedical Engineering, 3D-Printing and Tissue Engineering Center, Anhui Medical University, Hefei 230032, China.
| | - Xiaojian Li
- Department of Management, Hefei University of Technology, Hefei 230009, China.
| | - Shanlin Yang
- Key Laboratory of Process Optimization and Intelligent Decision-Making (Ministry of Education), Hefei University of Technology, Hefei 230009, China.
| | - Runhuai Yang
- School of Biomedical Engineering, 3D-Printing and Tissue Engineering Center, Anhui Medical University, Hefei 230032, China.
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Ball P. Mixing magnetic microbots. NATURE MATERIALS 2023:10.1038/s41563-023-01604-2. [PMID: 37386065 DOI: 10.1038/s41563-023-01604-2] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 07/01/2023]
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Tiny spinning robots sorted themselves into this beautiful pattern. Nature 2023:10.1038/d41586-023-02056-z. [PMID: 37340134 DOI: 10.1038/d41586-023-02056-z] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 06/22/2023]
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