Synopses & Reviews
Lattice gas hydrodynamics describes the approach to fluid dynamics using a micro-world constructed as an automaton universe, where the microscopic dynamics is based not on a description of interacting particles, but on the laws of symmetry and invariance of macroscopic physics. We imagine point-like particles residing on a regular lattice, where they move from node to node and undergo collisions when their trajectories meet. If the collisions occur according to some simple logical rules, and if the lattice has the proper symmetry, then the automaton shows global behavior very similar to that of real fluids. This book carries two important messages. First, it shows how an automaton universe with simple microscopic dynamics--the lattice gas--can exhibit macroscopic behavior in accordance with the phenomenological laws of classical physics. Second, it demonstrates that lattice gases have spontaneous microscopic fluctuations that capture the essentials of actual fluctuations in real fluids.
Review
"an excellent introduction to the physics of lattice gas automata and the hydrodynamic flows that take place in them." J.R. Dorfman, Institute for Physical Science and Technology, and Department of Physics, University of Maryland
Synopsis
This book carries two important messages. First, it shows how an automaton universe with simple microscopic dynamics can exhibit macroscopic behaviour in accordance with the phenomenological laws of classical physics. Second, it demonstrates that lattice gases have spontaneous microscopic fluctuations which capture the essentials of actual fluctuations in real fluids.
Synopsis
This book describes the approach to fluid dynamics using a simple micro-world constructed as an automaton universe. It offers a detailed theory of statistical mechanics of lattice gas automata, not treated in other books. This latest volume in the successful Cambridge Nonlinear Science Series will be of interest to researchers and graduate students working in physics, applied mathematics and engineering.
Synopsis
A detailed description of lattice-gas hydrodynamics, including theory not presented in other books.
Table of Contents
1. Introduction; 2. Basic ideas; 3. Microdynamics: general formalism; 4. Microdynamics: various examples; 5. Equilibrium statistical mechanics; 6. Macrodynamics: Chapman Enskog method; 7. Linearized hydrodynamics; 8. Hydrodynamic fluctuations; 9. Macrodynamics: projectors approach; 10. Hydrodynamic regimes; 11. Lattice gas simulations; 12. Guide for further reading; Appendix. Mathematical details.