Comment on ``Self-organized criticality and absorbing states: Lessons from the Ising model"

TL;DR

This paper clarifies that while finite size scaling exponents of the order parameter depend on system tuning, avalanche scaling in slow driving does not, highlighting a distinction in critical behavior.

Contribution

It demonstrates that avalanche scaling exponents are independent of driving and dissipation rates in the slow driving limit, contrasting with previous findings on the order parameter.

Findings

Avalanche exponents are independent of system tuning in slow driving.

Order parameter exponents depend on driving and dissipation rates.

Clarifies differences in scaling behavior between order parameter and avalanches.

Abstract

According to Pruessner and Peters [Phys. Rev. E {\bf 73}, 025106(R) (2006)], the finite size scaling exponents of the order parameter in sandpile models depend on the tuning of driving and dissipation rates with system size. We point out that the same is not true for {\em avalanches} in the slow driving limit.