Levy-flight spreading of epidemic processes leading to percolating clusters

Details Levy-flight spreading of epidemic processes leading to percolating clusters Levy-flight spreading of epidemic processes leading to percolating clusters

1998-07-10

arxiv.org/abs/cond-mat/9807155v1

Eur. Phys. J. B 7, 137--145 (1999)

Physics

Condensed Matter

Statistical Mechanics

9 pages ReVTeX, 2 postscript figures included, submitted to Eur. Phys. J. B

Scientific paper

10.1007/s100510050596

We consider two stochastic processes, the Gribov process and the general epidemic process, that describe the spreading of an infectious disease. In contrast to the usually assumed case of short-range infections that lead, at the critical point, to directed and isotropic percolation respectively, we consider long-range infections with a probability distribution decaying in d dimensions with the distance as 1/R^{d+\sigma}. By means of Wilson's momentum shell renormalization-group recursion relations, the critical exponents characterizing the growing fractal clusters are calculated to first order in an \epsilon-expansion. It is shown that the long-range critical behavior changes continuously to its short-range counterpart for a decay exponent of the infection \sigma =\sigma_c>2.

Affiliated with

Also associated with

No associations

Rating

Levy-flight spreading of epidemic processes leading to percolating clusters 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 Levy-flight spreading of epidemic processes leading to percolating clusters, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Levy-flight spreading of epidemic processes leading to percolating clusters will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-492693