Universality in edge-source diffusion dynamics

Details Universality in edge-source diffusion dynamics Universality in edge-source diffusion dynamics

2005-10-24

arxiv.org/abs/cond-mat/0510627v2

Phys. Rev. E 73, 012101 (2006).

Physics

Condensed Matter

Other Condensed Matter

4 pages including 4 figures. Minor changes. Accepted for PRE

Scientific paper

10.1103/PhysRevE.73.012101

We show that in edge-source diffusion dynamics the integrated concentration N(t) has a universal dependence with a characteristic time-scale tau=(A/P)^2 pi/(4D), where D is the diffusion constant while A and P are the cross-sectional area and perimeter of the domain, respectively. For the short-time dynamics we find a universal square-root asymptotic dependence N(t)=N0 sqrt(t/tau) while in the long-time dynamics N(t) saturates exponentially at N0. The exponential saturation is a general feature while the associated coefficients are weakly geometry dependent.

Affiliated with

Also associated with

No associations

Rating

Universality in edge-source diffusion 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 Universality in edge-source diffusion dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Universality in edge-source diffusion dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-523176