scholarly journals Functional scale-free networks in the two-dimensional Abelian sandpile model

2015 ◽  
Vol 92 (1) ◽  
Author(s):  
M. Zarepour ◽  
M. D. Niry ◽  
A. Valizadeh
Keyword(s):  
Two Dimensional ◽  
Functional Scale ◽  
Sandpile Model ◽  
Scale Free ◽  
Abelian Sandpile Model ◽  
Abelian Sandpile ◽  
Scale Free Networks

scholarly journals CONTINUOUS ABELIAN SANDPILE MODEL IN TWO DIMENSIONAL LATTICE

2011 ◽  
Vol 25 (32) ◽  
pp. 4709-4720 ◽  
Author(s):  
N. AZIMI-TAFRESHI ◽  
E. LOTFI ◽  
S. MOGHIMI-ARAGHI
Keyword(s):  
Boundary Conditions ◽  
Small Mass ◽  
Two Dimensional ◽  
Dimensional Lattice ◽  
New Model ◽  
Different Boundary Conditions ◽  
Sandpile Model ◽  
Abelian Sandpile Model ◽  
General Properties ◽  
Abelian Sandpile

We investigate a new version of sandpile model which is very similar to Abelian Sandpile Model (ASM), but the height variables are continuous ones. With the toppling rule we define in our model, we show that the model can be mapped to ASM, so the general properties of the two models are identical. Yet the new model allows us to investigate some problems such as the effect of very small mass on the height probabilities, different boundary conditions, etc.

scholarly journals The spatial asymmetric two-dimensional continuous Abelian sandpile model

2008 ◽  
Vol 41 (43) ◽  
pp. 435002 ◽  
Author(s):  
N Azimi-Tafreshi ◽  
H Dashti-Naserabadi ◽  
S Moghimi-Araghi
Keyword(s):  
Two Dimensional ◽  
Sandpile Model ◽  
Abelian Sandpile Model ◽  
Abelian Sandpile

scholarly journals Multiple and inverse topplings in the Abelian Sandpile Model

2012 ◽  
Vol 212 (1) ◽  
pp. 23-44 ◽  
Author(s):  
S. Caracciolo ◽  
G. Paoletti ◽  
A. Sportiello
Keyword(s):  
Sandpile Model ◽  
Abelian Sandpile Model ◽  
Abelian Sandpile

scholarly journals Avalanches and waves in the Abelian sandpile model

1997 ◽  
Vol 56 (4) ◽  
pp. R3745-R3748 ◽  
Author(s):  
Maya Paczuski ◽  
Stefan Boettcher
Keyword(s):  
Sandpile Model ◽  
Abelian Sandpile Model ◽  
Abelian Sandpile
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