PHASE TRANSITION IN A STOCHASTIC FOREST FIRE MODEL AND EFFECTS OF THE DEFINITION OF NEIGHBORHOOD

Klaus Lichtenegger () and Wilhelm Schappacher ()
Additional contact information
Klaus Lichtenegger: Institute of Physics, Universitätsplatz 5, Graz University, 8010 Graz, Austria
Wilhelm Schappacher: Institute of Mathematics and Scientific Computing, Heinrichstraße 36, Graz University, 8010 Graz, Austria

International Journal of Modern Physics C (IJMPC), 2009, vol. 20, issue 08, 1247-1269

Abstract: We present results on a stochastic forest fire model, where the influence of the neighbor trees is treated in a more realistic way than usual and the definition of neighborhood can be tuned by an additional parameter.This model exhibits a surprisingly sharp phase transition which can be shifted by redefinition of neighborhood. The results can also be interpreted in terms of disease-spreading and are quite unsettling from the epidemiologist's point of view, since variation of one crucial parameter only by a few percent can result in the change from endemic to epidemic behavior.

Keywords: Cellular automata; forest fire; disease spreading; phase transition; 64.60.ah; 89.75.-k; 89.75.Fb; 89.75.kd (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183109014321
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:20:y:2009:i:08:n:s0129183109014321

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183109014321

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().