Corrections to scaling in the forest-fire model

TL;DR

This paper investigates the corrections to scaling in the forest-fire model, identifying subdominant exponents that modify finite-size scaling, and provides a detailed analysis of these corrections through an extended moment analysis.

Contribution

The study introduces a systematic approach to quantify corrections to scaling in the forest-fire model, extending existing analysis methods.

Findings

Identified subdominant exponents affecting scaling behavior

Computed the first non-trivial corrections to scaling

Mapped the scaling region of the model

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.