Book contents
- Frontmatter
- Contents
- Preface
- Chapter 1 Basic ideas
- Chapter 2 Microdynamics: general formalism
- Chapter 3 Microdynamics: various examples
- Chapter 4 Equilibrium statistical mechanics
- Chapter 5 Macrodynamics: Chapman–Enskog method
- Chapter 6 Linearized hydrodynamics
- Chapter 7 Hydrodynamic fluctuations
- Chapter 8 Macrodynamics: projectors approach
- Chapter 9 Hydrodynamic regimes
- Chapter 10 Lattice gas simulations
- Chapter 11 Guide for further reading
- Appendix Mathematical details
- References
- Author index
- Subject index
Preface
Published online by Cambridge University Press: 13 October 2009
- Frontmatter
- Contents
- Preface
- Chapter 1 Basic ideas
- Chapter 2 Microdynamics: general formalism
- Chapter 3 Microdynamics: various examples
- Chapter 4 Equilibrium statistical mechanics
- Chapter 5 Macrodynamics: Chapman–Enskog method
- Chapter 6 Linearized hydrodynamics
- Chapter 7 Hydrodynamic fluctuations
- Chapter 8 Macrodynamics: projectors approach
- Chapter 9 Hydrodynamic regimes
- Chapter 10 Lattice gas simulations
- Chapter 11 Guide for further reading
- Appendix Mathematical details
- References
- Author index
- Subject index
Summary
… Feynman told us to explain it like this: We have noticed in nature that the behavior of a fluid depends very little on the nature of the individual particles in that fluid. […] We have therefore taken advantage of this fact to invent a type of imaginary particle that is especially simple for us to simulate. This particle is a perfect ball bearing that can move at a single speed in one of six directions. The flow of these particles on a large enough scale is very similar to the flow of natural fluids.
W.D. Hillis, Physics Today, February 1989The story of lattice gas automata started around 1985 when pioneering studies established theoretically and computationally the feasibility of simulating fluid dynamics via a microscopic approach based on a new paradigm: a fictitious oversimplified micro-world is constructed as an automaton universe based not on a realistic description of interacting particles (as in molecular dynamics), but merely on the laws of symmetry and of invariance of macroscopic physics. Imagine point-like particles residing on a regular lattice where they move from node to node and undergo collisions when their trajectories meet at the same node. The remarkable fact is that, if the collisions occur according to some simple logical rules and if the lattice has the proper symmetry, this automaton shows global behavior very similar to that of real fluids.
- Type
- Chapter
- Information
- Lattice Gas Hydrodynamics , pp. xiii - xxPublisher: Cambridge University PressPrint publication year: 2001