Continuous Theory of Active Matter Systems with Metric-Free Interactions

Anton Peshkov, Sandrine Ngo, Eric Bertin, Hugues Chate, Francesco Ginelli

Research output: Contribution to journalArticle

48 Citations (Scopus)

Abstract

We derive a hydrodynamic description of metric-free active matter: starting from self-propelled particles aligning with neighbors defined by "topological" rules, not metric zones-a situation advocated recently to be relevant for bird flocks, fish schools, and crowds-we use a kinetic approach to obtain well-controlled nonlinear field equations. We show that the density-independent collision rate per particle characteristic of topological interactions suppresses the linear instability of the homogeneous ordered phase and the nonlinear density segregation generically present near threshold in metric models, in agreement with microscopic simulations.

Original languageEnglish
Article number098101
Number of pages6
JournalPhysical Review Letters
Volume109
Issue number9
DOIs
Publication statusPublished - 28 Aug 2012

Cite this

Continuous Theory of Active Matter Systems with Metric-Free Interactions. / Peshkov, Anton; Ngo, Sandrine; Bertin, Eric; Chate, Hugues; Ginelli, Francesco.

In: Physical Review Letters, Vol. 109, No. 9, 098101, 28.08.2012.

Research output: Contribution to journalArticle

Peshkov, Anton ; Ngo, Sandrine ; Bertin, Eric ; Chate, Hugues ; Ginelli, Francesco. / Continuous Theory of Active Matter Systems with Metric-Free Interactions. In: Physical Review Letters. 2012 ; Vol. 109, No. 9.
@article{0bb17afb7aa748c59073cc0e9870157f,
title = "Continuous Theory of Active Matter Systems with Metric-Free Interactions",
abstract = "We derive a hydrodynamic description of metric-free active matter: starting from self-propelled particles aligning with neighbors defined by {"}topological{"} rules, not metric zones-a situation advocated recently to be relevant for bird flocks, fish schools, and crowds-we use a kinetic approach to obtain well-controlled nonlinear field equations. We show that the density-independent collision rate per particle characteristic of topological interactions suppresses the linear instability of the homogeneous ordered phase and the nonlinear density segregation generically present near threshold in metric models, in agreement with microscopic simulations.",
author = "Anton Peshkov and Sandrine Ngo and Eric Bertin and Hugues Chate and Francesco Ginelli",
year = "2012",
month = "8",
day = "28",
doi = "10.1103/PhysRevLett.109.098101",
language = "English",
volume = "109",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "9",

}

TY - JOUR

T1 - Continuous Theory of Active Matter Systems with Metric-Free Interactions

AU - Peshkov, Anton

AU - Ngo, Sandrine

AU - Bertin, Eric

AU - Chate, Hugues

AU - Ginelli, Francesco

PY - 2012/8/28

Y1 - 2012/8/28

N2 - We derive a hydrodynamic description of metric-free active matter: starting from self-propelled particles aligning with neighbors defined by "topological" rules, not metric zones-a situation advocated recently to be relevant for bird flocks, fish schools, and crowds-we use a kinetic approach to obtain well-controlled nonlinear field equations. We show that the density-independent collision rate per particle characteristic of topological interactions suppresses the linear instability of the homogeneous ordered phase and the nonlinear density segregation generically present near threshold in metric models, in agreement with microscopic simulations.

AB - We derive a hydrodynamic description of metric-free active matter: starting from self-propelled particles aligning with neighbors defined by "topological" rules, not metric zones-a situation advocated recently to be relevant for bird flocks, fish schools, and crowds-we use a kinetic approach to obtain well-controlled nonlinear field equations. We show that the density-independent collision rate per particle characteristic of topological interactions suppresses the linear instability of the homogeneous ordered phase and the nonlinear density segregation generically present near threshold in metric models, in agreement with microscopic simulations.

U2 - 10.1103/PhysRevLett.109.098101

DO - 10.1103/PhysRevLett.109.098101

M3 - Article

VL - 109

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 9

M1 - 098101

ER -