Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1998-04-15
Physics
Condensed Matter
Statistical Mechanics
5 pages, 2 tar gzip figures (Latex), subm. to PRE (Rapid Comm), new reference added
Scientific paper
10.1103/PhysRevE.58.R2685
We present a new method for extracting the persistence exponent theta for the diffusion equation, based on the distribution P of `sign-times'. With the aid of a numerically verified Ansatz for P we derive an exact formula for theta in arbitrary spatial dimension d. Our results are in excellent agreement with previous numerical studies. Furthermore, our results indicate a qualitative change in P above d ~ 36, signalling the existence of a sharp change in the ergodic properties of the diffusion field.
Newman Timothy J.
Toroczkai Zoltan
No associations
LandOfFree
Diffusive persistence and the `sign-time' distribution 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 Diffusive persistence and the `sign-time' distribution, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diffusive persistence and the `sign-time' distribution will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-466209