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Orientation-Modulated Hyperuniformity in Frustrated Vicsek-Kuramoto Systems.
Yichen Lu1,2, Tong Zhu1,3, Yingshan Guo1,4
1Institute of Systems Science, Huaqiao University, Xiamen 361021, China.
Entropy (Basel, Switzerland)
|January 28, 2026
Summary
Frustration in active matter systems can generate hyperuniform states, a unique disordered yet ordered phase. This "orientation-modulated hyperuniformity" arises from complementary subgroups, offering new insights for physics and biology.
Area of Science:
- Physics
- Complex Systems
- Statistical Mechanics
Background:
- Disordered hyperuniformity bridges ordered and disordered states with broad physics and biology implications.
- Active matter systems exhibit spontaneous pattern formation, making them ideal for studying emergent order.
Purpose of the Study:
- Investigate the emergence of hyperuniform states in frustrated Vicsek-Kuramoto active matter systems.
- Explore the role of frustration as a mechanism for generating hyperuniformity.
Main Methods:
- Numerical analysis of the phase diagram using the structure factor S(q).
- Quantification of density fluctuations via the variance ⟨δρ2R⟩.
Main Results:
- Recessive lattice states exhibit Class I hyperuniformity under specific conditions (high coupling, intermediate frustration).
- Hyperuniformity arises from the interplay of frustration-induced periodicity and active motion, featuring dynamic rotation centers.
- Global hyperuniformity emerges from the spatial complementarity of individually non-hyperuniform orientation subgroups ('orientation-modulated hyperuniformity').
Conclusions:
- Frustration is identified as a novel mechanism for generating hyperuniform states in active matter.
- Anisotropic interactions can lead to global order from disordered components.
- Findings have potential relevance for biological systems and material science.
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