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  1. Home
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  3. Lattice Gas Hydrodynamics
  • Cited by 65
Publisher:
Cambridge University Press
Online publication date:
October 2009
Print publication year:
2001
Online ISBN:
9780511524707
DOI:
https://doi.org/10.1017/CBO9780511524707
Subjects:
Physics and Astronomy, Theoretical Physics and Mathematical Physics, Statistical Physics, Nonlinear Science and Fluid Dynamics
Series:
Cambridge Nonlinear Science Series (11)
Information

Book description

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 which capture the essentials of actual fluctuations in real fluids.

Reviews

‘It is a pleasure to read the book. Equations, of which there are many, are carefully composed and easily deciphered. The text is well written and comprehensible, covering an immense amount of material. Advanced students of physics, mathematics and, probably, engineering, will find this book useful.’

Henrik Jeldtoft Jensen Source: The Times Higher Education Supplement

‘This excellent book systematically develops lattice gas theory, starting from the microscopic evolution equations and properties of the underlying lattice … For graduate students entering into the subject area of lattice gases or related methods this book would be an excellent starting point. But also for experts in related fields of fluid dynamics and statistical physics will this book serve as a very good introduction.’

Eirik G. Flekkoy Source: European Journal of Mechanical B-Fluids

‘… this book is certainly an excellent introduction to the physics of lattice gas automata and to the hydrodynamic flows that take place in them.’

Source: Journal of Statistical Physics

'… it may serve as a useful review of the attempts in the last fifteen years, 1986 to present, to apply cellular automata to simulate fluid dynamics.'

Source: Zentralblatt MATH

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