Universality classes for the "ricepile" model with absorbing properties

TL;DR

This paper investigates various stochastic ricepile models with absorbing properties, analyzing their transport, dynamical regimes, and phase transitions, revealing two distinct universality classes related to self-organized criticality.

Contribution

It introduces and compares multiple versions of the ricepile model, identifying two different universality classes based on their dynamical behavior and phase transition characteristics.

Findings

Models exhibit different dynamical regimes and phase transitions.

Two universality classes are identified among the models.

Transport properties vary across models and regimes.

Abstract

The absorbing "ricepile" model with stochastic toppling rules has been numerically studied. Local limited, local unlimited, nonlocal limited and nonlocal unlimited versions of the absorbing model have been investigated. Transport properties and different dynamical regimes of all of the models have been analysed, from the point of view of self organized criticality (SOC). Phase transitions between different dynamical regimes were studied in detail. It was shown, that the absorbing models belong to two different universality classes.