Higher-order interactions shape collective dynamics, but how they affect transitions between different states in swarmalator systems is yet to be determined. To that effect, we here study an analytically tractable swarmalator model that incorporates both pairwise and higher-order interactions, resulting in four distinct collective states: async, phase wave, mixed, and sync states. We show that even a minute fraction of higher-order interactions induces abrupt transitions from the async state to the phase wave and the sync state. We also show that higher-order interactions facilitate an abrupt transition from the phase wave to the sync state by bypassing the intermediate mixed state. Moreover, elevated levels of higher-order interactions can sustain the presence of phase wave and sync state, even when pairwise interactions lean towards repulsion. The insights gained from these findings unveil self-organizing processes that hold the potential to explain sudden transitions between various collective states in numerous real-world systems.
University of Dschang（迪尚大学）；MoCLiS Research Group（MoCLiS研究组）；Quantum materials and Computing Group (QMaCG)（量子材料与计算小组（QMaCG））；Higher Teachers’ Training College, University of Bamenda（班达马师范高等专科学校，班达马大学）；Laboratory of Electrotechnics, Automatics and Energy, Higher Technical Teachers, Training College (ENSET) of Ebolowa, University of Ebolowa（埃博洛瓦高等技术教师培训学院（ENSET）电气技术、自动化与能源实验室，埃博洛瓦大学）；Centre for Audio, Acoustics and Vibration, Faculty of Engineering and IT, University of Technology Sydney（悉尼科技大学工程与信息学院音频、声学及振动中心）；IMT School for Advanced Studies Lucca（卢卡高等研究院（IMT））；Universidad de Buenos Aires, Facultad de Ciencias Exactas y Naturales, Departamento de Física（布宜诺斯艾利斯大学理学院物理系）；CONICET-Universidad de Buenos Aires, Instituto de Física Interdisciplinaria y Aplicada (INFINA)（阿根廷国家科学研究委员会-布宜诺斯艾利斯大学交叉与应用物理研究所（INFINA））
Central European University（中欧大学）；Vrije Universiteit Amsterdam（阿姆斯特丹自由大学）；Technical University of Munich（慕尼黑工业大学）；University of Exeter（埃克塞特大学）；University of Oxford（牛津大学）；Université de Namur（纳穆尔大学）；Université Catholique de Louvain（天主教鲁汶大学）；University of Granada（格拉纳达大学）；Trinity College（三一学院）；Santa Fe Institute（圣塔菲研究所）
Collective dynamics of higher-order Vicsek model emerging from local conformity interactions
Universidad de Cantabria（坎塔布里亚大学）；RIKEN Center for Interdisciplinary Theoretical and Mathematical Sciences (iTHEMS)（理化学研究所交叉理论数学科学中心（iTHEMS））；Department of Systems and Control Engineering, Institute of Science Tokyo (former Tokyo Tech)（东京科学大学（原东京工业大学）系统控制工程系）；International Research Frontiers Initiative, Institute of Science Tokyo (former Tokyo Tech)（东京科学大学（原东京工业大学）国际研究前沿倡议）；Department of Physics and Astronomy, Tokyo University of Science（东京理科大学物理天文系）
