Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 Introduction and Motivation: Are Birds Smarter Than Nerds?
- 2 Dynamical Derivation (and a More Conventional One) of the Mermin–Wagner–Hohenberg Theorem; or, Why We Can’t All Point the Same Way
- 3 The Dynamical Renormalization Group; or, WhyWe Can Do Physics, Illustrated by the KPZ Equation
- 4 Formulating the Hydrodynamic Model for Flocking
- 5 The Dynamical Renormalization Group Applied to the Flocking Problem
- 6 Incompressible Polar Active Fluids in the Moving Phase in Dimensions d > 2: the “Canonical” Exponents
- 7 Heuristic Argument for the Canonical Exponents (“20-20 Hindsight Hand-Waving Argument”)
- 8 Incompressible Flocks in Spatial Dimensions d = 2: Mapping to the KPZ Equation
- 9 “Malthusian” Flocks (Flocks with Birth and Death)
- Bibliography
- Index
1 - Introduction and Motivation: Are Birds Smarter Than Nerds?
Published online by Cambridge University Press: 16 May 2024
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgments
- 1 Introduction and Motivation: Are Birds Smarter Than Nerds?
- 2 Dynamical Derivation (and a More Conventional One) of the Mermin–Wagner–Hohenberg Theorem; or, Why We Can’t All Point the Same Way
- 3 The Dynamical Renormalization Group; or, WhyWe Can Do Physics, Illustrated by the KPZ Equation
- 4 Formulating the Hydrodynamic Model for Flocking
- 5 The Dynamical Renormalization Group Applied to the Flocking Problem
- 6 Incompressible Polar Active Fluids in the Moving Phase in Dimensions d > 2: the “Canonical” Exponents
- 7 Heuristic Argument for the Canonical Exponents (“20-20 Hindsight Hand-Waving Argument”)
- 8 Incompressible Flocks in Spatial Dimensions d = 2: Mapping to the KPZ Equation
- 9 “Malthusian” Flocks (Flocks with Birth and Death)
- Bibliography
- Index
Summary
I introduce the problem of “dry active matter” more precisely, describing the symmetries (both underlying, and broken) of the state I wish to consider, and also discuss how shocking it is that such systems can exhibit long-ranged order – that is, all move together – even in d = 2.
- Type
- Chapter
- Information
- The Physics of FlockingBirth, Death, and Flight in Active Matter, pp. 1 - 8Publisher: Cambridge University PressPrint publication year: 2024