Lattice Gas Hydrodynamics (Relié)

  • Cambridge University Press

  • Paru le : 14/04/2001
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Lattice gas hydrodynamics is the name used to describe the approach to fluid dynamics starting from a simple micro-world constructed as an automaton universe.... > Lire la suite
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Lattice gas hydrodynamics is the name used to describe the approach to fluid dynamics starting from a simple micro-world constructed as an automaton universe. In this universe, the microscopic dynamics is based not on a realistic description of interacting particles, but merely on the laws of symmetry and of 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 at the same node. If the collisions occur according to some simple logical rules, and if the lattice bas 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 very 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. The two aspects are closely related, offering a microscopic approach to the description of fluid systems. Accordingly, the book follows the philosophy of classical statistical mechanics, and introduces the reader to the world of the discrete analogue of continuous molecular hydrodynamics. This book will be of interest to graduate students and researchers in statistical physics, computational physics, hydrodynarnics, applied mathematics and engineering.
    • Basic ideas
    • Microdynamics: general formalism
    • Microdynamics: various examples
    • Equilibrium statistical mechanics
    • Macrodynamics: Chapman-Enskog method
    • Linearized hydrodynamics
    • Hydrodynamics fluctuations
    • Macrodynamics: projectors approach
    • Hydrodynamics regimes
    • Lattice gas simulations
    • Guide for further reading
Jean Pierre Boon studied at the University of Brussels and at the University of Chicago. He has been FNRS Research Fellow and Professor at the University of Brussels since 1975. He is a former Visiting Professor at Bell Telephone Laboratories, at the Kernforschungsanlage Jülich, at the Massachusetts Institute of Technology and at the University of Nice. J.P. Boon's main field of research is statistical physics. He is the co-author of Molecular Hydrodynamics by J.P. Boon and S. Yip. Jean-Pierre Rivet received his Ph.D. in 1988 from the University of Nice for work on theoretical and numerical aspects of lattice gas hydrodynamics. Since then, he has been working on applications of the lattice gas method to computational fluid dynamics. Since 1996 he has worked on relativistic stochastic processes and statistical physic, in collaboration with researchers at the Laboratory of Radio-Astronomy of the Ecole Normale Supérieure (Paris). In addition to his research activity, he has given several courses in Physics and Astronomy at the University of Paris VI, and at the University of Nice. He is currently a CNRS researcher at the Observatoire de la Côte d'Azur (Nice).

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Lattice Gas Hydrodynamics
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