A long-range Domany-Kinzel model of directed percolation

1983 ◽  
Vol 16 (12) ◽  
pp. L401-L406 ◽  
Author(s):  
T C Li ◽  
Z Q Zhang
Keyword(s):  
Long Range ◽  
Directed Percolation

LONGITUDINAL CORRELATION LENGTH IN DIRECTED PERCOLATION AND RELATED MODELS: A POSSIBLE NEW SCALING MECHANISM

1991 ◽  
Vol 05 (08) ◽  
pp. 555-559 ◽  
Author(s):  
MALTE HENKEL ◽  
VLADIMIR PRIVMAN
Keyword(s):  
Long Range ◽  
Correlation Length ◽  
Finite Size ◽  
Directed Percolation ◽  
Long Range Order ◽  
Finite Size Scaling ◽  
Asymptotic Behaviors ◽  
Longitudinal Correlation ◽  
Asymptotic Eigenvalue ◽  
Asymptotic Scaling

The finite-size scaling of the correlation length for directed and undirected systems is reviewed with emphasis on the asymptotic eigenvalue degeneracy associated with long-range order or long-range connectivity. The standard scaling mechanism for matching asymptotic behaviors on approach to criticality applies for Ising and other models. However, numerical evidence suggests that for directed percolation in 2D a modified formulation is appropriate, incorporating irrelevant-variable corrections in a new pattern of asymptotic scaling.

scholarly journals Directed percolation with long-range interactions: Modeling nonequilibrium wetting

2005 ◽  
Vol 71 (2) ◽  
Author(s):  
F. Ginelli ◽  
H. Hinrichsen ◽  
R. Livi ◽  
D. Mukamel ◽  
A. Politi
Keyword(s):  
Long Range ◽  
Directed Percolation ◽  
Long Range Interactions
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