Directed Percolation with a Wall or Edge

Details Directed Percolation with a Wall or Edge Directed Percolation with a Wall or Edge

1997-12-18

arxiv.org/abs/cond-mat/9712225v1

J. Phys. A 31, 2311-2320 (1998).

Physics

Condensed Matter

Statistical Mechanics

14 pages, submitted to J. Phys. A

Scientific paper

10.1088/0305-4470/31/10/008

We examine the effects of introducing a wall or edge into a directed percolation process. Scaling ansatzes are presented for the density and survival probability of a cluster in these geometries, and we make the connection to surface critical phenomena and field theory. The results of previous numerical work for a wall can thus be interpreted in terms of surface exponents satisfying scaling relations generalising those for ordinary directed percolation. New exponents for edge directed percolation are also introduced. They are calculated in mean-field theory and measured numerically in 2+1 dimensions.

Affiliated with

Also associated with

No associations

Rating

Directed Percolation with a Wall or Edge 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 Directed Percolation with a Wall or Edge, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Directed Percolation with a Wall or Edge will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-121242