The path-coalescence transition and its applications

Details The path-coalescence transition and its applications The path-coalescence transition and its applications

2003-05-21

arxiv.org/abs/cond-mat/0305491v2

Phys. Rev. E 68, 040101 (2003)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 3 figures; revised version, as published

Scientific paper

10.1103/PhysRevE.68.040101

We analyse the motion of a system of particles subjected a random force fluctuating in both space and time, and experiencing viscous damping. When the damping exceeds a certain threshold, the system undergoes a phase transition: the particle trajectories coalesce. We analyse this transition by mapping it to a Kramers problem which we solve exactly. In the limit of weak random force we characterise the dynamics by computing the rate at which caustics are crossed, and the statistics of the particle density in the coalescing phase. Last but not least we describe possible realisations of the effect, ranging from trajectories of raindrops on glass surfaces to animal migration patterns.

Affiliated with

Also associated with

No associations

Rating

The path-coalescence transition and its applications 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 The path-coalescence transition and its applications, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The path-coalescence transition and its applications will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-343578