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MTH-1649: Mathematical and Computational Modeling of Collective Motion of Self-Propelled Particles under Speed Variability
Author(s):
1. Mansoor Ali: Shah Abdul Latif University, Khairpur, Pakistan.
2. Israr Ahmed: Shah Abdul Latif University, Khairpur, Pakistan.
3. Abdul Majid Indher: Mehran University of Engineering & Technology, SZAB Campus,Khairpur, Pakistan.
4. Noor Ahmed: Shah Abdul Latif University, Khairpur, Pakistan.
Abstract:
Self-propelled particles (SPPs) are particles which adopt the mean direction of motion of their neighbors with some random perturbation. Collective motion ofthis type is widespread in nature, such as in bird flocks, fish schools, insects warms, and bacteria colonies. It also plays a role in artificial systems such as swarm robots and autonomous vehicles. How these particles move collectivelyand when this collective movement fails is of interest in both natural and engineered systems. This paper looks at the influence of speed variability in particles, which are differences in the speed of particles, on coordinated movement. Speed variability implies that there are particles that are faster or slower than others. This may occur in living systems as a result of discrepanciesin energy, strength or health. It may happen in machines because of mechanical constraints or setting of controls. We study this effect in a modified version ofthe Vicsek model, a popular model of collective motion. In the simulations we vary the degree of speed variability in a systematic manner and note the group behavior. The findings depict a definite trend. In the case of low or moderate speed variability, the particles can move collectively in an orderly manner, and asa whole stay aligned. But, in case the variability of speed is too high, the particles lose this coordination and the group dissolves into smaller, disordered clusters.This shift between ordered and unordered movement shows a boundary to theextent to which a group can allow variation and still be moving as a group. Such findings provide a better insight into the mechanism of coordinated movement in cases when the difference in speeds exists. They also provide realisticsolutions to better control swarm robots, autonomous vehicles and crowd flow in order to maintain the groups together when the speed can vary.
Page(s): 149-149
DOI: DOI not available
Published: Journal: 4th International Conference of Sciences “Revamped Scientific Outlook of 21st Century, 2025” , November 12,2025, Volume: 1, Issue: 1, Year: 2025
Keywords:
Selfpropelled particles , collective motion , Vicsek model , Speed variability , Active matter
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