Active Brownian Particles. From Individual to Collective Stochastic Dynamics

Details Active Brownian Particles. From Individual to Collective Stochastic Dynamics Active Brownian Particles. From Individual to Collective Stochastic Dynamics

2012-02-11

arxiv.org/abs/1202.2442v1

Physics

Condensed Matter

Other Condensed Matter

161 pages, Review, Eur Phys J Special-Topics, accepted

Scientific paper

We review theoretical models of individual motility as well as collective dynamics and pattern formation of active particles. We focus on simple models of active dynamics with a particular emphasis on nonlinear and stochastic dynamics of such self-propelled entities in the framework of statistical mechanics. Examples of such active units in complex physico-chemical and biological systems are chemically powered nano-rods, localized patterns in reaction-diffusion system, motile cells or macroscopic animals. Based on the description of individual motion of point-like active particles by stochastic differential equations, we discuss different velocity-dependent friction functions, the impact of various types of fluctuations and calculate characteristic observables such as stationary velocity distributions or diffusion coefficients. Finally, we consider not only the free and confined individual active dynamics but also different types of interaction between active particles. The resulting collective dynamical behavior of large assemblies and aggregates of active units is discussed and an overview over some recent results on spatiotemporal pattern formation in such systems is given.

Affiliated with

Also associated with

No associations

Rating

Active Brownian Particles. From Individual to Collective Stochastic Dynamics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Active Brownian Particles. From Individual to Collective Stochastic Dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Active Brownian Particles. From Individual to Collective Stochastic Dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-238001