scholarly journals Derivation of a stochastic cellular automaton model for the dynamics of bistable units with global and asymmetric local interactions

2014 ◽  
Vol 2014 (8) ◽  
pp. 83A01-0 ◽  
Author(s):  
S. Ohmori ◽  
Y. Yamazaki
Keyword(s):  
Cellular Automaton ◽  
Cellular Automaton Model ◽  
Local Interactions ◽  
Stochastic Cellular Automaton

RIPPLES VERSUS GIANT DUNES IN A SALTATION-AVALANCHE MODEL

1999 ◽  
Vol 10 (06) ◽  
pp. 1071-1076 ◽  
Author(s):  
NICOLAS VANDEWALLE ◽  
SERGE GALAM
Keyword(s):  
Cellular Automaton ◽  
Cellular Automaton Model ◽  
Ripple Formation ◽  
Stochastic Cellular Automaton

A simple stochastic cellular automaton model is proposed for ripples and dunes formation. Saltation and avalanches are the unique ingredients of the model. The dynamics of ripple formation is found to be logarithmic in time while the ripple merging as well as the dune growth is faster and occurs by bursts. The ripple state turns out to be metastable.

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