SOC computer simulations

TL;DR

This chapter reviews computational techniques and models used to study Self-Organised Criticality (SOC), emphasizing simulation methods, data analysis tools, and practical algorithms, with a focus on the BTW sandpile model.

Contribution

It provides a comprehensive overview of simulation techniques, data analysis, and algorithms specifically tailored for studying SOC phenomena, including practical code snippets.

Findings

Introduction of key concepts and models in SOC

Discussion of scaling and data analysis tools for SOC models

Practical algorithms and code snippets for SOC simulations

Abstract

The following chapter provides an overview of the techniques used to understand Self-Organised Criticality (SOC) by performing computer simulations. Those are of particular significance in SOC, given its very paradigm, the BTW (Bak-Tang-Wiesenfeld) sandpile, was introduced on the basis of a process that is conveniently implemented as a computer program. The chapter is divided into three sections: In the first section a number of key concepts are introduced, followed by four brief presentations of SOC models which are most commonly investigated or which have played an important part in the development of the field as a whole. The second section is concerned with the basics of scaling with particular emphasis of its role in numerical models of SOC, introducing a number of basic tools for data analysis such as binning, moment analysis and error estimation. The third section is devoted to numerical methods and algorithms as applied to SOC models, addressing typical computational questions with the particular application of SOC in mind. The present chapter is rather technical, but hands-on at the same time, providing practical advice and even code snippets (in C) wherever possible.