Kinetic limits for pair-interaction driven master equations and biological swarm models

Details Kinetic limits for pair-interaction driven master equations and biological swarm models Kinetic limits for pair-interaction driven master equations and biological swarm models

2011-09-21

arxiv.org/abs/1109.4538v1

Mathematics

Probability

Scientific paper

We consider a class of stochastic processes modeling binary interactions in an N-particle system. Examples of such systems can be found in the modeling of biological swarms. They lead to the definition of a class of master equations that we call pair interaction driven master equations. We prove a propagation of chaos result for this class of master equations which generalizes Mark Kac's well know result for the Kac model in kinetic theory. We use this result to study kinetic limits for two biological swarm models. We show that propagation of chaos may be lost at large times and we exhibit an example where the invariant density is not chaotic.

Affiliated with

Also associated with

No associations

Rating

Kinetic limits for pair-interaction driven master equations and biological swarm models 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 Kinetic limits for pair-interaction driven master equations and biological swarm models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Kinetic limits for pair-interaction driven master equations and biological swarm models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-257680