Boltzmann-Ginzburg-Landau approach for continuous descriptions of generic Vicsek-like models - Archive ouverte HAL Access content directly
Journal Articles The European Physical Journal. Special Topics Year : 2014

Boltzmann-Ginzburg-Landau approach for continuous descriptions of generic Vicsek-like models

(1, 2) , (3) , (4, 5) , (6, 2)
1
2
3
4
5
6

Abstract

We describe a generic theoretical framework, denoted as the Boltzmann-Ginzburg-Landau approach, to derive continuous equations for the polar and/or nematic order parameters describing the large scale behavior of assemblies of point-like active particles interacting through polar or nematic alignment rules. Our study encompasses three main classes of dry active systems, namely polar particles with 'ferro-magnetic' alignment (like the original Vicsek model), nematic particles with nematic alignment (" active nematics "), and polar particles with nematic alignment (" self-propelled rods "). The Boltzmann-Ginzburg-Landau approach combines a low-density description in the form of a Boltzmann equation, with a Ginzburg-Landau-type expansion close to the instability threshold of the disordered state. We provide the generic form of the continuous equations obtained for each class, and comment on the relationships and differences with other approaches.
Fichier principal
Vignette du fichier
1404.3275v1.pdf (1.94 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

cea-01384282 , version 1 (19-10-2016)

Identifiers

Cite

A. Peshkov, E. Bertin, F. Ginelli, H. Chaté. Boltzmann-Ginzburg-Landau approach for continuous descriptions of generic Vicsek-like models. The European Physical Journal. Special Topics, 2014, 223 (7), pp.1315 - 1344. ⟨10.1140/epjst/e2014-02193-y⟩. ⟨cea-01384282⟩
141 View
203 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More