Active Matter and Nonequilibrium Statistical Physics – Les Houches Lecture Notes 2022

The Problem This Book Solves

Understanding the collective behavior of systems far from equilibrium—from bacterial swarms to cellular tissues—requires a theoretical framework that traditional thermodynamics cannot provide. Researchers and advanced students in statistical physics face a steep learning curve when transitioning from equilibrium theory to the active matter paradigm. This volume, drawn from the prestigious Les Houches Summer School, compresses that learning curve into a single authoritative resource.

Inside Active Matter and Nonequilibrium Statistical Physics – Les Houches Lecture Notes 2022: A Full Overview

Active Matter and Nonequilibrium Statistical Physics (Oxford University Press, 2022) is the lecture note collection of the Les Houches Summer School: Volume 112, held August 27–September 21, 2018. Edited by Gerhard Gompper, M. Cristina Marchetti, Julien Tailleur, Julia M. Yeomans, and Christophe Salomon, the book offers a pedagogical yet rigorous introduction to the statistical mechanics of active systems. It covers foundational principles alongside cutting-edge applications in biological physics, soft condensed matter, and nonequilibrium thermodynamics.

The volume is organized into self-contained lecture sets, each written by leading experts who taught at the school. Topics range from hydrodynamic theories of active fluids to the stochastic thermodynamics of molecular motors, making it equally valuable as a textbook for newcomers and a reference for seasoned practitioners.

Who Will Benefit Most

This book is designed for three distinct audiences:

• Graduate students in physics, biophysics, or engineering entering the field of active matter and needing a systematic foundation
• Postdoctoral researchers seeking a broad overview of modern nonequilibrium statistical physics methods
• Established scientists in condensed matter, soft matter, or biological physics who want to expand their toolkit to active systems

Prerequisites include a solid grasp of equilibrium statistical mechanics and basic fluid dynamics. The lecture format assumes a level of mathematical maturity typical of a first-year graduate physics curriculum.

Inside: What You Will Master

• Hydrodynamic theories of active fluids – including the Toner–Tu equations for polar flocks and the continuum description of active nematics
• Active Brownian particles – the minimal model for self-propelled colloids and its phase behavior
• Stochastic thermodynamics – fluctuation theorems, entropy production, and thermodynamic uncertainty relations in active systems
• Motility-induced phase separation – the mechanism by which purely self-propelled particles form dense clusters without attractive forces
• Active gels and cytoskeletal dynamics – how molecular motors and filaments generate contractility and flows in cells
• Bacterial active matter – collective motion in bacterial colonies, including turbulence and biofilm formation
• Topological defects in active systems – their role in active turbulence and tissue remodeling
• Numerical methods for active matter – simulation techniques such as lattice Boltzmann, molecular dynamics, and field-theoretic approaches

Why This Book Stands Out

Unlike standard textbooks on nonequilibrium statistical mechanics (e.g., those by Zwanzig or de Groot & Mazur), this volume is purpose-built for the active matter revolution. It bridges the gap between abstract theory and the experimental systems that define the field today. Competitor volumes either focus exclusively on equilibrium soft matter or treat active matter as an afterthought. Here, every chapter is written by a practicing researcher who works on the topic they teach, ensuring that the content reflects the current state of the art.

The Les Houches pedigree guarantees a level of pedagogical care that is rare in edited volumes. Each lecture is designed to be self-contained, with clear learning objectives, worked examples, and problem sets. The book also includes extensive cross-referencing between chapters, helping readers connect concepts across scales—from single-particle dynamics to collective phase transitions.

Who Wrote This Book

The editorial team reads like a who’s who of active matter physics. Gerhard Gompper (Forschungszentrum Jülich) is a pioneer in the simulation of soft matter and biological systems. M. Cristina Marchetti (UC Santa Barbara) developed the hydrodynamic theory of active nematics. Julien Tailleur (Université Paris Cité) is known for his work on motility-induced phase separation. Julia M. Yeomans (University of Oxford) leads the field of active matter hydrodynamics and topological defects. Christophe Salomon (CNRS) brings expertise in ultracold atoms and nonequilibrium quantum systems. Each contributor is a recognized leader in their subfield, and the publisher—Oxford University Press—is one of the world’s most respected academic publishers, ensuring rigorous peer review and high production standards.

Is It Worth It?

For anyone serious about entering or deepening their understanding of active matter, this volume is indispensable. It is not a casual read—the material is demanding—but it delivers exactly what the Les Houches school promises: a comprehensive, expert-led tour of the field. The 2022 publication date ensures that the content reflects recent developments, including advances in active turbulence and stochastic thermodynamics that have emerged since earlier reviews.

The only caveat is that the book assumes a strong background in statistical physics. Beginners should first work through a standard equilibrium statistical mechanics text (e.g., Kardar or Pathria) before tackling these lectures. For its target audience, however, it is the single best entry point available.

Get Your Copy Today

Whether you are a graduate student preparing for research, a postdoc expanding your skill set, or a faculty member teaching a new course, this book gives you the foundation you need. It condenses a world-class summer school into a single volume that you can study at your own pace. Add to cart today and start building your expertise in one of the most dynamic fields of modern physics. Published by Oxford University Press in 2022, this is the definitive lecture note collection from the Les Houches School—a trusted resource for generations of physicists.