|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Levy-flight spreading of epidemic processes leading to percolating clusters | | H. K. Janssen
; K. Oerding
; F. van Wijland
; H. J. Hilhorst
; | | Date: |
10 Jul 1998 | | Journal: | Eur. Phys. J. B 7, 137--145 (1999) | | Subject: | Statistical Mechanics | cond-mat.stat-mech q-bio | | Affiliation: | U. of Duesseldorf, Germany), F. van Wijland, H. J. Hilhorst (Laboratoire de Physique Theoretique et Hautes Energies, Orsay, France | | Abstract: | 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. | | Source: | arXiv, cond-mat/9807155 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER