Tarras I, Eddakoun A, Hader A, Moushi S, Bakassi I, Et Touizi R, Achik I, Eddahby M, El Bachiri A, Boughaleb Y
Laboratory of Bio-Geosciences and Materials Engineering, Higher Normal School of Casablanca, University of Hassan II. Casablanca, Casablanca, Morocco.
Centre Régional des Métiers d'éducation et de Formation, Settat, Morocco.
Eur Phys J E Soft Matter. 2024 Oct 14;47(10):62. doi: 10.1140/epje/s10189-024-00455-2.
Self-propelled collective motion is a highly complex phenomenon, necessitating advanced practical and theoretical tools for comprehension. The significance of studying collective motion becomes apparent in its diverse applications. For instance, addressing evacuation challenges in scenarios with multiple agents can be achieved through an examination of collective motion. Research indicates that the transition of individuals (such as birds, fish, etc.) from a state of rest to equilibrium constitutes a phase transition. Our interest of the issue is to delve into the nature of this transitional phase and elucidate the parameters that shape it. Hence, the primary aim of this paper is to grasp the kinetic phase transition by examining how initial velocity and repulsive interactions impact the dynamics of the system. To gain insight into the complex behavior of multi-agent systems, we apply an extended version of the classical Vicsek model. This extension includes an additional interaction zone, the repulsive zone, where particles repel each other at close range to avoid collisions. Our study uses numerical simulations to explore the system's behavior under various conditions. The focus of this study is the impact of initial velocity on the collective movement of particles. The importance of this research lies in comprehending how velocity affects the overall movement. The conclusion we can draw from these results is that the initial velocity affects both the noise and the density. The novelty of the work is the transition phase, yet it lacks universal characteristics because the critical noise depends on the initial velocity system and the repulsion radius zone. Notably, the repulsion radius and particle density play pivotal roles in achieving a phase transition from one equilibrium state to another aligned equilibrium state.
自驱动集体运动是一种高度复杂的现象，需要先进的实践和理论工具来理解。研究集体运动的意义在其多样的应用中变得明显。例如，通过研究集体运动可以解决多智能体场景中的疏散挑战。研究表明，个体（如鸟类、鱼类等）从静止状态到平衡状态的转变构成了一个相变。我们对这个问题的兴趣在于深入探究这个过渡阶段的本质，并阐明塑造它的参数。因此，本文的主要目的是通过研究初始速度和排斥相互作用如何影响系统的动力学来理解动力学相变。为了深入了解多智能体系统的复杂行为，我们应用了经典维塞克模型的扩展版本。这个扩展包括一个额外的相互作用区域，即排斥区域，在该区域粒子在近距离相互排斥以避免碰撞。我们的研究使用数值模拟来探索系统在各种条件下的行为。本研究的重点是初始速度对粒子集体运动的影响。这项研究的重要性在于理解速度如何影响整体运动。我们从这些结果中可以得出的结论是，初始速度会影响噪声和密度。这项工作的新颖之处在于过渡阶段，但它缺乏普遍特征，因为临界噪声取决于初始速度系统和排斥半径区域。值得注意的是，排斥半径和粒子密度在实现从一个平衡状态到另一个对齐平衡状态的相变中起着关键作用。
