1 4 N ov 2 00 5 Self - propelled non - linearly diffusing particles . Aggregation and continuum description
نویسنده
چکیده
We introduce a model of self-propelled particles carrying out a Brownian motion with a diffusion coefficient which depends on the local density of particles within a certain finite radius. Numerical simulations show that in a range of parameters the long-time spatial distribution of particles is non-homogeneous, and clusters can be observed. A number density equation, which explains the emergence of the aggregates and indicates the values of the parameters for which they appear, is derived. Numerical results of this continuum density equation are also shown.
منابع مشابه
ar X iv : 0 70 8 . 24 01 v 1 [ co nd - m at . s of t ] 1 7 A ug 2 00 7 Hydrodynamics of self - propelled hard rods
Motivated by recent simulations and by experiments on aggregation of gliding bacteria, we study a model of the collective dynamics of self-propelled hard rods on a substrate in two dimensions. The rods have finite size, interact via excluded volume and their dynamics is overdamped by the interaction with the substrate. Starting from a microscopic model with non-thermal noise sources, a continuu...
متن کامل2 9 N ov 2 00 6 Collective behavior of interacting self - propelled particles
We discuss biologically inspired, inherently non-equilibrium self-propelled particle models, in which the particles interact with their neighbours by choosing at each time step the local average direction of motion. We summarize some of the results of large scale simulations and theoretical approaches to the problem.
متن کاملSelf-propelled nonlinearly diffusing particles: Aggregation and continuum description.
We introduce a model of self-propelled particles carrying out a Brownian motion with a diffusion coefficient which depends on the local density of particles within a certain finite radius. Numerical simulations show that in a range of parameters the long-time spatial distribution of particles is nonhomogeneous, and clusters can be observed. A number density equation, which explains the emergenc...
متن کامل5 N ov 2 00 1 Subdiffusion and the cage effect studied near the colloidal glass transition Eric
The dynamics of a glass-forming material slow greatly near the glass transition, and molecular motion becomes inhibited. We use confocal microscopy to investigate the motion of colloidal particles near the colloidal glass transition. As the concentration in a dense colloidal suspension is increased, particles become confined in transient cages formed by their neighbors. This prevents them from ...
متن کامل1 1 Ju n 20 06 State Transitions and the Continuum Limit for a 2 D Interacting , Self - Propelled Particle System
We study a class of swarming problems wherein particles evolve dynamically via pairwise interaction potentials and a velocity selection mechanism. We find that the swarming system undergoes various changes of state as a function of the selfpropulsion and interaction potential parameters. In this paper, we utilize a procedure which, in a definitive way, connects a class of individual-based model...
متن کامل