Repository logo

Infoscience

  • English
  • French
Log In
Logo EPFL, École polytechnique fédérale de Lausanne

Infoscience

  • English
  • French
Log In
  1. Home
  2. Academic and Research Output
  3. Journal articles
  4. Local versus nonlocal barycenttic interactions in 1 D agent dynamics
 
research article

Local versus nonlocal barycenttic interactions in 1 D agent dynamics

Hongler, Max-Olivier  
•
Filliger, Roger  
•
Gallay, Olivier
2014
Mathematical Biosciences and Engineering

The mean-field dynamics of a collection of stochastic agents evolving under local and nonlocal interactions in one dimension is studied via analytically solvable models. The nonlocal interactions between agents result from (a) a finite extension of the agents interaction range and (b) a barycentric modulation of the interaction strength. Our modeling framework is based on a discrete two-velocity Boltzmann dynamics which can be analytically discussed. Depending on the span and the modulation of the interaction range, we analytically observe a transition from a purely diffusive regime without definite pattern to a flocking evolution represented by a solitary wave traveling with constant velocity.

  • Details
  • Metrics
Type
research article
DOI
10.3934/rnbe.2014.11.303
Web of Science ID

WOS:000326980200009

Author(s)
Hongler, Max-Olivier  
Filliger, Roger  
Gallay, Olivier
Date Issued

2014

Publisher

Amer Inst Mathematical Sciences

Published in
Mathematical Biosciences and Engineering
Volume

11

Issue

2

Start page

303

End page

315

Subjects

Brownian agents

•

meanfield dynamics

•

phase transitions

•

Burgers' equation

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LPM  
Available on Infoscience
January 6, 2014
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/98984
Logo EPFL, École polytechnique fédérale de Lausanne
  • Contact
  • infoscience@epfl.ch

  • Follow us on Facebook
  • Follow us on Instagram
  • Follow us on LinkedIn
  • Follow us on X
  • Follow us on Youtube
AccessibilityLegal noticePrivacy policyCookie settingsEnd User AgreementGet helpFeedback

Infoscience is a service managed and provided by the Library and IT Services of EPFL. © EPFL, tous droits réservés