Zhang, Jue Zhao, Yang Tian, Baomei Peng, Liqian Zhang, Hai-Tao Wang, Bing-Hong Zhou, Tao 2008-12-07 In recent years, the well-developed Vicsek model has attracted more and more attention. Unfortunately, in-depth research on its convergence speed is not yet completed. In this paper, we investigate some key factors governing the convergence speed of the Vicsek model with the assistance of extensive numerical simulations. A significant phenomenon surfaces that the convergence time scales obeys a power law with <i>r</i>²ln<i>N</i>, with <i>r</i> and <i>N</i> being the horizon radius and the number of particles, respectively. To further accelerate the convergence procedure, we propose a kind of improved Vicsek model with self-driven particles governed by variational speeds, which can remarkably shorten the convergence time of the standard Vicsek model. application/pdf https://folia.unifr.ch/global/documents/301305 https://folia.unifr.ch/documents/301305/files/zhou_acs.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2008.11.043 info:eu-repo/semantics/openAccess License undefined Physica A: Statistical Mechanics and its Applications. - 2009, vol. 3888, no. 7, p. 1237-1242 Vicsek model Self-driven swarm Convergence time Power law info:eu-repo/classification/udc/53 Accelerating consensus of self-driven swarm via adaptive speed http://purl.org/coar/resource_type/c_6501