Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- 1 A simple model of fluid mechanics
- 2 Two routes to hydrodynamics
- 3 Inviscid two-dimensional lattice-gas hydrodynamics
- 4 Viscous two-dimensional hydrodynamics
- 5 Some simple three-dimensional models
- 6 The lattice-Boltzmann method
- 7 Using the Boltzmann method
- 8 Miscible fluids
- 9 Immiscible lattice gases
- 10 Lattice-Boltzmann method for immiscible fluids
- 11 Immiscible lattice gases in three dimensions
- 12 Liquid-gas models
- 13 Flow through porous media
- 14 Equilibrium statistical mechanics
- 15 Hydrodynamics in the Boltzmann approximation
- 16 Phase separation
- 17 Interfaces
- 18 Complex fluids and patterns
- Appendix A Tensor symmetry
- Appendix B Polytopes and their symmetry group
- Appendix C Classical compressible flow modeling
- Appendix D Incompressible limit
- Appendix E Derivation of the Gibbs distribution
- Appendix F Hydrodynamic response to forces at fluid interfaces
- Appendix G Answers to exercises
- Author Index
- Subject Index
Appendix E - Derivation of the Gibbs distribution
Published online by Cambridge University Press: 23 September 2009
- Frontmatter
- Contents
- Preface
- Acknowledgements
- 1 A simple model of fluid mechanics
- 2 Two routes to hydrodynamics
- 3 Inviscid two-dimensional lattice-gas hydrodynamics
- 4 Viscous two-dimensional hydrodynamics
- 5 Some simple three-dimensional models
- 6 The lattice-Boltzmann method
- 7 Using the Boltzmann method
- 8 Miscible fluids
- 9 Immiscible lattice gases
- 10 Lattice-Boltzmann method for immiscible fluids
- 11 Immiscible lattice gases in three dimensions
- 12 Liquid-gas models
- 13 Flow through porous media
- 14 Equilibrium statistical mechanics
- 15 Hydrodynamics in the Boltzmann approximation
- 16 Phase separation
- 17 Interfaces
- 18 Complex fluids and patterns
- Appendix A Tensor symmetry
- Appendix B Polytopes and their symmetry group
- Appendix C Classical compressible flow modeling
- Appendix D Incompressible limit
- Appendix E Derivation of the Gibbs distribution
- Appendix F Hydrodynamic response to forces at fluid interfaces
- Appendix G Answers to exercises
- Author Index
- Subject Index
Summary
- Type
- Chapter
- Information
- Lattice-Gas Cellular AutomataSimple Models of Complex Hydrodynamics, pp. 281 - 283Publisher: Cambridge University PressPrint publication year: 1997