تقرير
Quantum Vicsek Model for Active Matter
| العنوان: | Quantum Vicsek Model for Active Matter |
|---|---|
| المؤلفون: | Yuan, Hong, Cui, L. X., Chen, L. T., Sun, C. P. |
| سنة النشر: | 2024 |
| المجموعة: | Condensed Matter Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics, Condensed Matter - Statistical Mechanics |
| الوصف: | We propose a quantum analog of the Vicsek model, consisting of an ensemble of overdamped spin$-1/2$ particles with ferromagnetic couplings, driven by a uniformly polarized magnetic field. The spontaneous magnetization of the spin components breaks the $SO(3)$ (or $SO(2)$) symmetry, inducing an ordered phase of flocking. We derive the hydrodynamic equations, similar to those formulated by Toner and Tu, by applying a mean-field approximation to the quantum analog model up to the next leading order. Our investigation not only establishes a microscopic connection between the Vicsek model and the Toner-Tu hydrodynamics for active matter, but also aims to inspire further studies of active matter in the quantum regime. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.09860 |
| رقم الأكسشن: | edsarx.2407.09860 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |