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
4 - Formulating the Hydrodynamic Model for Flocking
Published online by Cambridge University Press: 16 May 2024
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
Summary
This chapter uses the ideas of hydrodynamics introduced in the last chapter to formulate the hydrodynamic theory of the flocking problem (i.e., the “Toner–Tu” equations).
Keywords
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- Information
- The Physics of FlockingBirth, Death, and Flight in Active Matter, pp. 88 - 116Publisher: Cambridge University PressPrint publication year: 2024