Some Properties of Sandpile Models as Prototype of Self-Organized Critical Systems

TL;DR

This paper reviews recent advances in self-organized criticality (SOC), discussing examples, theoretical connections to conformal field theory, and applications across diverse physical systems.

Contribution

It provides a comprehensive overview of SOC properties, theoretical insights, and applications, highlighting recent progress and interdisciplinary relevance.

Findings

Examples of SOC systems presented

Relation between SOC and conformal field theory discussed

Applications of SOC to various physical phenomena reported

Abstract

This paper is devoted to the recent advances in self-organized criticality (SOC), and the concepts. The paper contains three parts; in the first part we present some examples of SOC systems, in the second part we add some comments concerning its relation to logarithmic conformal field theory, and in the third part we report on the application of SOC concepts to various systems ranging from cumulus clouds to 2D electron gases.