تقرير
Emergent Metric-like States of Active Particles with Metric-free Polar Alignment
| العنوان: | Emergent Metric-like States of Active Particles with Metric-free Polar Alignment |
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| المؤلفون: | Zhao, Yinong, Huepe, Cristian, Romanczuk, Pawel |
| سنة النشر: | 2022 |
| المجموعة: | Condensed Matter |
| مصطلحات موضوعية: | Condensed Matter - Soft Condensed Matter |
| الوصف: | We study a model of self-propelled particles interacting with their $k$ nearest neighbors through polar alignment. By exploring its phase space as a function of two nondimensional parameters (alignment strength $g$ and Peclet number $\mathrm{Pe}$), we identify two distinct order-disorder transitions. One is continuous, occurs at a low critical $g$ value independent of Pe, and resembles a mean-field transition with no density-order coupling. The other is discontinuous, depends on a combined control parameter involving $g$ and Pe, and results from the formation of small, dense, highly persistent clusters of particles that follow metric-like dynamics. These dense clusters form at a critical value of the combined control parameter $\mathrm{Pe}/g^{\alpha}$, with $\alpha \approx 1.5$, which appears to be valid for different alignment-based models. Our study shows that models of active particles with metric-free interactions can produce characteristic length-scales and self-organize into metric-like collective states that undergo metric-like transitions. Comment: 3 Figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2208.06597 |
| رقم الأكسشن: | edsarx.2208.06597 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |