Turning with the others: novel transitions in an SPP model with coupling of accelerations
Abstract
We consider a three dimensional, generalized version of the original SPP model for collective motion. By extending the factors influencing the ordering, we investigate the case when the movement of the self-propelled particles (SPP-s) depends on both the velocity and the acceleration of the neighboring particles, instead of being determined solely by the former one. By changing the value of a weight parameter s determining the relative influence of the velocity and the acceleration terms, the system undergoes a kinetic phase transition as a function of a behavioral pattern. Below a critical value of s the system exhibits disordered motion, while above it the dynamics resembles that of the SPP model. We argue that in nature evolutionary processes can drive the strategy variable s towards the critical point, where information exchange between the units of a system is maximal.
Keywords
Cite
@article{arxiv.0808.1662,
title = {Turning with the others: novel transitions in an SPP model with coupling of accelerations},
author = {Peter Szabo and Mate Nagy and Tamas Vicsek},
journal= {arXiv preprint arXiv:0808.1662},
year = {2009}
}
Comments
13 pages, 9 figures, submitted to Phys Rev E