Corrections to scaling in the forest-fire model

Details Corrections to scaling in the forest-fire model Corrections to scaling in the forest-fire model

1999-12-03

arxiv.org/abs/cond-mat/9912046v2

Phys. Rev. E 61, 4854 (2000)

Physics

Condensed Matter

Statistical Mechanics

RevTeX, 7 pages, 7 eps figures

Scientific paper

10.1103/PhysRevE.61.4854

We present a systematic study of corrections to scaling in the self-organized critical forest-fire model. The analysis of the steady-state condition for the density of trees allows us to pinpoint the presence of these corrections, which take the form of subdominant exponents modifying the standard finite-size scaling form. Applying an extended version of the moment analysis technique, we find the scaling region of the model and compute the first non-trivial corrections to scaling.

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