paper

Corrections to scaling in the forest-fire model

arXiv:cond-mat/9912046 · doi:10.1103/PhysRevE.61.4854

Abstract

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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