Collective Behavior of Self Propelling Particles with Kinematic Constraints; The relation between the discrete and the continuous description

Abstract

In two papers we proposed a continuum model for the dynamics of systems of self propelling particles with kinematic constraints on the velocities and discussed some of its properties. The model aims to be analogous to a discrete algorithm used in works by T. Vicsek et al. In this paper we derive the continuous hydrodynamic model from the discrete description. The similarities and differences between the resulting model and the hydrodynamic model postulated in our previous papers are discussed. The results clarify the assumptions used to obtain a continuous description.

7 pages

References in corpus (2)

• Novel type of phase transition in a system of self-driven particles
• Collective behavior of interacting self-propelled particles

Cited by in corpus (6)

• Hydrodynamic equations for self-propelled particles: microscopic derivation and stability analysis
• Phase transition and diffusion among socially interacting self-propelled agents
• On the relation between Vicsek and Kuramoto models of spontaneous synchronization
• A Boltzmann model for rod alignment and schooling fish
• A multi-layer model for self-propelled disks interacting through alignment and volume exclusion
• Synchronization and collective motion of globally coupled Brownian particles