Lattice Gas Hydrodynamics

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Paperback | 16 November 2005

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312 Pages

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24.41 x 16.99 x 1.65

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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.

Industry 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, 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, 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.' 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.' Zentralblatt MATH

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You Can Find This Book In

Non-Fiction Computing & I.T.Computer Science Artificial Intelligence Science Physics Classical Mathematics Fluid Mechanics Wave Mechanics including Vibration & Acoustics Engineering & Technology Mechanical Engineering & Materials Materials Science

Mechanics of Fluids Hydraulics & Pneumatics

Introduction
Basic ideas
Microdynamics: general formalism
Microdynamics: various examples
Equilibrium statistical mechanics
Macrodynamics: Chapman-Enskog method
Linearized hydrodynamics
Hydrodynamic fluctuations
Macrodynamics: projectors approach
Hydrodynamic regimes
Lattice gas simulations
Guide for further reading
Appendix
Mathematical details
Table of Contents provided by Publisher. All Rights Reserved.

Lattice Gas Hydrodynamics

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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