A numerical study of attraction/repulsion collective behavior models: 3D particle analyses and 1D kinetic simulations

作者：Vecil Francesco; Lafitte Pauline^*; Linares Jesus Rosado

来源：Physica D: Nonlinear Phenomena , 2013, 260: 127-144.

DOI：10.1016/j.physd.2012.12.010

• Collective behavior
• Self-organization
• Swarming
• Attractive/repulsive potential

We study at particle and kinetic level a collective behavior model based on three phenomena: self-propulsion, friction (Rayleigh effect) and an attractive/repulsive (Morse) potential rescaled so that the total mass of the system remains constant independently of the number of particles N. In the first part of the paper, we introduce the particle model: the agents are numbered and described by their position and velocity. We identify five parameters that govern the possible asymptotic states for this system (clumps, spheres, dispersion, mills, rigid-body rotation, flocks) and perform a numerical analysis on the 3D setting. Then, in the second part of the paper, we describe the kinetic system derived as the limit from the particle model as N tends to infinity; we propose, in 1D, a numerical scheme for the simulations, and perform a numerical analysis devoted to trying to recover asymptotically patterns similar to those emerging for the equivalent particle systems, when particles originally evolved on a circle.

• 出版日期2013-10-1
• 单位INRIA