Critical exponents in stochastic sandpile models

TL;DR

This paper reports large-scale simulations of a two-dimensional stochastic sandpile model, using moments analysis and finite size scaling to accurately determine its critical exponents and large-scale behavior.

Contribution

The study introduces a comprehensive simulation approach combining moments analysis and finite size scaling to precisely characterize the critical behavior of a stochastic sandpile model.

Findings

Accurate critical exponents determined for the model

Finite size scaling confirms the universality class

Large-scale behavior characterized with high precision

Abstract

We present large scale simulations of a stochastic sandpile model in two dimensions. We use moments analysis to evaluate critical exponents and finite size scaling method to consistently test the obtained results. The general picture resulting from our analysis allows us to characterize the large scale behavior of the present model with great accuracy.