Fluctuation Correlations in Reaction-Diffusion Systems: Reactive Lattice Gas Automata Approach

1992 ◽  
Vol 20 (7) ◽  
pp. 627-632 ◽  
Author(s):  
J. R Weimar ◽  
D Dab ◽  
J.-P Boon ◽  
S Succi
Keyword(s):  
Lattice Gas ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Lattice Gas Automata ◽  
Diffusion Systems

MULTIPARTICLE LATTICE GAS AUTOMATA FOR REACTION DIFFUSION SYSTEMS

1994 ◽  
Vol 05 (01) ◽  
pp. 47-63 ◽  
Author(s):  
BASTIEN CHOPARD ◽  
LAURENT FRACHEBOURG ◽  
MICHEL DROZ
Keyword(s):  
Degrees Of Freedom ◽  
Lattice Gas ◽  
Diffusion Processes ◽  
Reaction Diffusion ◽  
Reaction Diffusion Systems ◽  
Lattice Gas Automata ◽  
Diffusion Systems ◽  
Diffusion Phenomena ◽  
New Algorithms ◽  
Number Of Particles

Lattice gas automata are a powerful tool to model reaction-diffusion processes. However, the evolution rules limit the number of particles that can be present at each lattice site. This restriction is often a strong limitation to modelling several reaction-diffusion phenomena and, also, lead to very noisy numerical simulations. We propose and study new algorithms which allow for an arbitrary number of particle, while keeping the benefits of the cellular automata approach (close to a microscopic level of description, deal correctly with all degrees of freedom, and is numerically exact).

scholarly journals Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems

2021 ◽  
Vol 126 (10) ◽  
Author(s):  
Fridtjof Brauns ◽  
Henrik Weyer ◽  
Jacob Halatek ◽  
Junghoon Yoon ◽  
Erwin Frey
Keyword(s):  
Reaction Diffusion ◽  
Wavelength Selection ◽  
Reaction Diffusion Systems ◽  
Diffusion Systems
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