Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-07-23
J. Stat. Mech. P08021 (2009)
Physics
Condensed Matter
Statistical Mechanics
6 pages, including 4 figures; to appear in JSTAT
Scientific paper
We reconsider the problem of local persistence in directed site percolation. We present improved estimates of the persistence exponent in all dimensions from 1+1 to 7+1, obtained by new algorithms and by improved implementations of existing ones. We verify the strong corrections to scaling for 2+1 and 3+1 dimensions found in previous analyses, but we show that scaling is much better satisfied for very large and very small dimensions. For d > 4 (d is the spatial dimension), the persistence exponent depends non-trivially on d, in qualitative agreement with the non-universal values calculated recently by Fuchs {\it et al.} (J. Stat. Mech.: Theor. Exp. P04015 (2008)). These results are mainly based on efficient simulations of clusters evolving under the time reversed dynamics with a permanently active site and a particular survival condition discussed in Fuchs {\it et al.}. These simulations suggest also a new critical exponent $\zeta$ which describes the growth of these clusters conditioned on survival, and which turns out to be the same as the exponent, \eta+\delta in standard notation, of surviving clusters under the standard DP evolution.
No associations
LandOfFree
Local persistence in directed percolation 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 Local persistence in directed percolation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Local persistence in directed percolation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-354791