Novel transition to fully absorbing state without long-range spatial order in directed percolation class

2020 ◽  
Vol 85 ◽  
pp. 105247
Author(s):  
Sumit S. Pakhare ◽  
Prashant M. Gade
Keyword(s):  
Long Range ◽  
Directed Percolation ◽  
Spatial Order ◽  
Absorbing State

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 Non-universality of the absorbing-state phase-transition in a linear chain with power-law diluted long-range connections

2014 ◽  
Vol 404 ◽  
pp. 271-278 ◽  
Author(s):  
M.B. da Silva ◽  
P.C. Da Silva ◽  
A. Macedo-Filho ◽  
M.L. Lyra ◽  
M. Serva ◽  
...  
Keyword(s):  
Phase Transition ◽  
Long Range ◽  
Power Law ◽  
Linear Chain ◽  
Absorbing State

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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