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Pattern Formation and Lattice gas Automata
 
Edited by: Anna T. Lawniczak University of Guelph, Guelph, ON, Canada
Raymond Kapral University of Toronto, Toronto, ON, Canada
A co-publication of the AMS and Fields Institute
Front Cover for Pattern Formation and Lattice gas Automata
Available Formats:
Hardcover ISBN: 978-0-8218-0258-8
Product Code: FIC/6
List Price: $134.00
MAA Member Price: $120.60
AMS Member Price: $107.20
Electronic ISBN: 978-1-4704-2974-4
Product Code: FIC/6.E
List Price: $126.00
MAA Member Price: $113.40
AMS Member Price: $100.80
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $201.00
MAA Member Price: $180.90
AMS Member Price: $160.80
Front Cover for Pattern Formation and Lattice gas Automata
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  • Front Cover for Pattern Formation and Lattice gas Automata
  • Back Cover for Pattern Formation and Lattice gas Automata
Pattern Formation and Lattice gas Automata
Edited by: Anna T. Lawniczak University of Guelph, Guelph, ON, Canada
Raymond Kapral University of Toronto, Toronto, ON, Canada
A co-publication of the AMS and Fields Institute
Available Formats:
Hardcover ISBN:  978-0-8218-0258-8
Product Code:  FIC/6
List Price: $134.00
MAA Member Price: $120.60
AMS Member Price: $107.20
Electronic ISBN:  978-1-4704-2974-4
Product Code:  FIC/6.E
List Price: $126.00
MAA Member Price: $113.40
AMS Member Price: $100.80
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $201.00
MAA Member Price: $180.90
AMS Member Price: $160.80
  • Book Details
     
     
    Fields Institute Communications
    Volume: 61996; 346 pp
    MSC: Primary 82; Secondary 76; 60;



    This book is the Proceedings of The Fields Institute Conference/NATO Advanced Research Workshop held in June 1993. The articles review the diverse recent progress in the theory and development of lattice-gas and lattice Boltzmann methods and their applications to hydrodynamics, multi-phase flows, flows through porous media, reaction-diffusion systems, pattern formation phenomena, and phase separation processes. Discussed here are various aspects of the statistical analysis of these methods, with emphasis on fluctuations and correlations, as well as computational prospects including development of dedicated hardware.

    Features:

    • up-to-date articles covering theory and applications
    • interdisciplinary approach, which includes mathematics, physics, chemistry, and geophysics
    • abstracts of papers published from 1992 through 1995

    Readership

    Research mathematicians, physicists, chemists, and engineers in nonequilibrium statistical mechanics, fluid dynamics, pattern formation, stochastic processes, partial differential equations, and numerical methods.

  • Table of Contents
     
     
    • Chapters
    • C Appert, V Pot and S Zaleski - Liquid-gas models on 2D and 3D lattices
    • Bruce Boghosian and Washington Taylor - Renormalization of lattice gas transport coefficients
    • I Bonzani, M Cimaschi and R Monaco - The discrete Boltzmann equation for gases with bimolecular or dissociation-recombination reactions
    • E Cohen and F Wang - Diffusion and propagation in Lorentz lattice gases
    • Silvia Dawson, B Hasslacher and J Pearson - Lattice gas simulations of replicating domains
    • A DeMasi - Spinodal decomposition and interface dynamics for Glauber evolution with Kac potential
    • K Diemer, Anna Lawniczak and R Kapral - Fluctuations and chemical waves in a bistable reacting system
    • J Dufty and M Ernst - Lattice Boltzmann-Langevin equations
    • M Ernst and H Bussemaker - Instabilities and patterns
    • F Hayot and L Wagner - Vortex street and Lévy walks
    • Michel Hénon - Lattice gases without semi-detailed balance
    • Shuling Hou, James Sterling, Shiyi Chen and Gary Doolen - A lattice Boltzmann subgrid model for high Reynolds number flows
    • N Margolus - CAM-8: A computer architecture based on cellular automata
    • Errico Presutti - Critical fluctuations in a spin system
    • Y Qian, Sauro Succi, F Massaiol and Steven Orszag - A benchmark for lattice BGK model: Flow over a backward-facing step
    • R Rechtman and A Salcido - Lattice gas self diffusion in random porous media
    • O Tribel and J Boon - Lévy laws for lattice gas automata
    • Joerg Weimar and J Boon - New class of cellular automata for reaction-diffusion systems applied to the CIMA reaction
    • X-G Wu and R Kapral - Lattice-gas cellular automaton model for one-mode lasers
    • J Yepez - A lattice-gas with long-range interactions coupled to a heat bath
    • Gary Doolen - Abstracts of lattice gas/lattice Boltzmann papers, 1992–1995
  • Request Review Copy
Volume: 61996; 346 pp
MSC: Primary 82; Secondary 76; 60;



This book is the Proceedings of The Fields Institute Conference/NATO Advanced Research Workshop held in June 1993. The articles review the diverse recent progress in the theory and development of lattice-gas and lattice Boltzmann methods and their applications to hydrodynamics, multi-phase flows, flows through porous media, reaction-diffusion systems, pattern formation phenomena, and phase separation processes. Discussed here are various aspects of the statistical analysis of these methods, with emphasis on fluctuations and correlations, as well as computational prospects including development of dedicated hardware.

Features:

  • up-to-date articles covering theory and applications
  • interdisciplinary approach, which includes mathematics, physics, chemistry, and geophysics
  • abstracts of papers published from 1992 through 1995

Readership

Research mathematicians, physicists, chemists, and engineers in nonequilibrium statistical mechanics, fluid dynamics, pattern formation, stochastic processes, partial differential equations, and numerical methods.

  • Chapters
  • C Appert, V Pot and S Zaleski - Liquid-gas models on 2D and 3D lattices
  • Bruce Boghosian and Washington Taylor - Renormalization of lattice gas transport coefficients
  • I Bonzani, M Cimaschi and R Monaco - The discrete Boltzmann equation for gases with bimolecular or dissociation-recombination reactions
  • E Cohen and F Wang - Diffusion and propagation in Lorentz lattice gases
  • Silvia Dawson, B Hasslacher and J Pearson - Lattice gas simulations of replicating domains
  • A DeMasi - Spinodal decomposition and interface dynamics for Glauber evolution with Kac potential
  • K Diemer, Anna Lawniczak and R Kapral - Fluctuations and chemical waves in a bistable reacting system
  • J Dufty and M Ernst - Lattice Boltzmann-Langevin equations
  • M Ernst and H Bussemaker - Instabilities and patterns
  • F Hayot and L Wagner - Vortex street and Lévy walks
  • Michel Hénon - Lattice gases without semi-detailed balance
  • Shuling Hou, James Sterling, Shiyi Chen and Gary Doolen - A lattice Boltzmann subgrid model for high Reynolds number flows
  • N Margolus - CAM-8: A computer architecture based on cellular automata
  • Errico Presutti - Critical fluctuations in a spin system
  • Y Qian, Sauro Succi, F Massaiol and Steven Orszag - A benchmark for lattice BGK model: Flow over a backward-facing step
  • R Rechtman and A Salcido - Lattice gas self diffusion in random porous media
  • O Tribel and J Boon - Lévy laws for lattice gas automata
  • Joerg Weimar and J Boon - New class of cellular automata for reaction-diffusion systems applied to the CIMA reaction
  • X-G Wu and R Kapral - Lattice-gas cellular automaton model for one-mode lasers
  • J Yepez - A lattice-gas with long-range interactions coupled to a heat bath
  • Gary Doolen - Abstracts of lattice gas/lattice Boltzmann papers, 1992–1995
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