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Structure formation in a conserved mass model of a set of individuals interacting with attractive and repulsive forces
Physical Review E ( IF 2.4 ) Pub Date : 2021-07-19 , DOI: 10.1103/physreve.104.014212
Sergio E Mangioni 1 , Matías G dell'Erba 1 , Bruno Combi 1
Affiliation  

We study a set of interacting individuals that conserve their total mass. In order to describe its dynamics we resort to mesoscopic equations of reaction diffusion including currents driven by attractive and repulsive forces. For the mass conservation we consider a linear response parameter that maintains the mass in the vicinity of a optimal value which is determined by the set. We use the reach and intensity of repulsive forces as control parameters. When sweeping a wide range of parameter space we find a great diversity of localized structures, stationary as well as other ones with cyclical and chaotic dynamics. We compare our results with real situations.

中文翻译:

一组与吸引力和排斥力相互作用的个体的守恒质量模型中的结构形成

我们研究了一组相互作用的个体,它们的总质量是守恒的。为了描述它的动力学,我们求助于反应扩散的介观方程,包括由吸引力和排斥力驱动的电流。对于质量守恒,我们考虑线性响应参数,该参数将质量保持在由集合确定的最佳值附近。我们使用排斥力的范围和强度作为控制参数。在扫描广泛的参数空间时,我们发现了大量不同的局部结构,静止的以及其他具有周期性和混沌动力学的结构。我们将我们的结果与真实情况进行比较。
更新日期:2021-07-20
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