Introduction to chaos and diffusion

TL;DR

This paper introduces fundamental concepts and techniques of chaotic dynamics and transport processes in fluids, serving as an accessible guide for understanding chaos and diffusion in fluid systems.

Contribution

It provides a self-contained introduction to chaos and diffusion, aiding readers in understanding complex fluid transport phenomena and preparing them for further study in the volume.

Findings

Overview of chaotic dynamics principles

Explanation of diffusion mechanisms in fluids

Guidance for reading advanced topics

Abstract

This contribution is relative to the opening lectures of the ISSAOS 2001 summer school and it has the aim to provide the reader with some concepts and techniques concerning chaotic dynamics and transport processes in fluids. Our intention is twofold: to give a self-consistent introduction to chaos and diffusion, and to offer a guide for the reading of the rest of this volume.