The Physics of the Vicsek Model

Francesco Ginelli

doi:10.1140/epjst/e2016-60066-8

The Physics of the Vicsek Model

Francesco Ginelli

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Abstract

In these lecture notes, prepared for the Microswimmers Summer
School 2015 at Forschungszentrum J¨ulich, I discuss the well known
Vicsek model for collective motion and its main properties. In particular, I discuss its algorithmical 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.

Original language	English
Pages (from-to)	2099-2117
Number of pages	19
Journal	The European Physical Journal. Special Topics
Volume	225
Issue number	11
Early online date	10 Nov 2016
DOIs	https://doi.org/10.1140/epjst/e2016-60066-8
Publication status	Published - Nov 2016

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10.1140/epjst/e2016-60066-8Licence: CC BY

The Physics of the Vicsek model
© 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.
Final published version, 1.35 MBLicence: CC BY

Cite this

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AB - In these lecture notes, prepared for the Microswimmers SummerSchool 2015 at Forschungszentrum J¨ulich, I discuss the well knownVicsek model for collective motion and its main properties. In particular, I discuss its algorithmical 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.

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The Physics of the Vicsek Model

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