Length scales and power laws in the two-dimensional forest-fire model

A. Honecker and I. Peschel

Physica A: Statistical Mechanics and its Applications, 1997, vol. 239, issue 4, 509-530

Abstract: We re-examine a two-dimensional forest-fire model via Monte-Carlo simulations and show the existence of two length scales with different critical exponents associated with clusters and with the usual two-point correlation function of trees. We check resp. improve previously obtained values for other critical exponents and perform a first investigation of the critical behaviour of the slowest relaxational mode. We also investigate the possibility of describing the critical point in terms of a distribution of the global density. We find that some qualitative features such as a temporal oscillation and a power law of the cluster-size distribution can nicely be obtained from such a model that discards the spatial structure.

Keywords: Forest-fire model; Critical phenomena; Non-equilibrium systems (search for similar items in EconPapers)
Date: 1997
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:239:y:1997:i:4:p:509-530

DOI: 10.1016/S0378-4371(97)00002-2

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