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 nontrivial corrections to scaling.

Notes

Originally published in Physical Review E, v.61 no.5 (2000), pp.4854-4859. DOI:10.1103/PhysRevE.61.4854. Dr. Vespignani is affiliated with Northeastern University as of the time of deposit.

Keywords

forest-fire model, steady-state condition

Subject Categories

Scaling laws (Statistical physics)

Disciplines

Physics

Publisher

American Physical Society

Publication Date

5-1-2000

Rights Information

©2000 American Physical Society

Rights Holder

American Physical Society

Click button above to open, or right-click to save.

Included in

Physics Commons

Share

COinS