Book contents
- Frontmatter
- Contents
- Preface
- 1 Nonequilibrium statistical mechanics
- 2 The Boltzmann equation
- 3 Liouville's equation
- 4 Boltzmann's ergodic hypothesis
- 5 Gibbs' picture: mixing systems
- 6 The Green–Kubo formulae
- 7 The baker's transformation
- 8 Lyapunov exponents, baker's map, and toral automorphisms
- 9 Kolmogorov–Sinai entropy
- 10 The Probenius–Perron equation
- 11 Open systems and escape rates
- 12 Transport coefficients and chaos
- 13 Sinai–Ruelle–Bowen (SRB) and Gibbs measures
- 14 Fractal forms in Green–Kubo relations
- 15 Unstable periodic orbits
- 16 Lorentz lattice gases
- 17 Dynamical foundations of the Boltzmann equation
- 18 The Boltzmann equation returns
- 19 What's next?
- Bibliography
- Index
3 - Liouville's equation
Published online by Cambridge University Press: 25 January 2010
Book contents
- Frontmatter
- Contents
- Preface
- 1 Nonequilibrium statistical mechanics
- 2 The Boltzmann equation
- 3 Liouville's equation
- 4 Boltzmann's ergodic hypothesis
- 5 Gibbs' picture: mixing systems
- 6 The Green–Kubo formulae
- 7 The baker's transformation
- 8 Lyapunov exponents, baker's map, and toral automorphisms
- 9 Kolmogorov–Sinai entropy
- 10 The Probenius–Perron equation
- 11 Open systems and escape rates
- 12 Transport coefficients and chaos
- 13 Sinai–Ruelle–Bowen (SRB) and Gibbs measures
- 14 Fractal forms in Green–Kubo relations
- 15 Unstable periodic orbits
- 16 Lorentz lattice gases
- 17 Dynamical foundations of the Boltzmann equation
- 18 The Boltzmann equation returns
- 19 What's next?
- Bibliography
- Index
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- Publisher: Cambridge University PressPrint publication year: 1999