https://doi.org/10.1140/epjst/e2016-60066-8
Review
The Physics of the Vicsek model
SUPA, Institute for Complex Systems and Mathematical Biology, King's College, University of Aberdeen, Aberdeen AB24 3UE, UK
a e-mail: francesco.ginelli@abdn.ac.uk
Received: 26 February 2016
Revised: 2 May 2016
Published online: 10 November 2016
In these lecture notes, prepared for the Microswimmers Summer School 2015 at Forschungszentrum Jülich, I discuss the well known Vicsek model for collective motion and its main properties. In particular, I discuss its algorithmic implementation and the basic properties of its universality class. I present results from numerical simulations and insist on the role played by symmetries and conservation laws. Analytical arguments are presented in an accessible and simplified way, but ample references are given for more advanced readings.
© The Author(s) 2016
Open Access This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
