Tuning- and order parameter in the SOC ensemble

TL;DR

This paper compares the behavior of the one-dimensional Oslo model under self-organized criticality and absorbing state conditions, revealing similarities in scaling parameters but differences in activity signals.

Contribution

It identifies that the scaling parameters are identical under both conditions, but the activity signal behaves differently in SOC, providing new insights into phase transition indicators.

Findings

Scaling parameters are identical under SOC and AS conditions.

Activity lacks a phase transition pickup in SOC.

Differences in activity signals between SOC and AS conditions.

Abstract

The one-dimensional Oslo model is studied under self-organized criticality (SOC) conditions and under absorbing state (AS) conditions. While the activity signals the phase transition under AS conditions by a sudden increase, this is not the case under SOC conditions. The scaling parameters of the activity are found to be identical under SOC and AS conditions, but in SOC the activity lacks a pickup.