scholarly journals Universality classes in isotropic, Abelian, and non-Abelian sandpile models

1998 ◽  
Vol 58 (1) ◽  
pp. 303-310 ◽  
Author(s):  
Erel Milshtein ◽  
Ofer Biham ◽  
Sorin Solomon
Keyword(s):  
Abelian Sandpile ◽  
Universality Classes ◽  
Sandpile Models

scholarly journals CHAOS IN SANDPILE MODELS

2011 ◽  
Vol 25 (08) ◽  
pp. 569-579
Author(s):  
SAMAN MOGHIMI-ARAGHI ◽  
ALI MOLLABASHI
Keyword(s):  
Critical Point ◽  
Sandpile Model ◽  
Universality Classes ◽  
Classification Parameter ◽  
Simulation Results ◽  
Zhang Model ◽  
Sandpile Models

We have investigated the "weak chaos" exponent to see if it can be considered as a classification parameter of different sandpile models. Our simulation results show that the (Abelian) BTW sandpile model, the (non-Abelian) Zhang model, and the ("Abelian") Manna model possesses different "weak chaos" exponents, so they may belong to different universality classes. Finally, we show that getting off the critical point destroys this behavior in these models.

Universality Class in Abelian Sandpile Models with Stochastic Toppling Rules

2005 ◽  
Vol 44 (3) ◽  
pp. 483-486 ◽  
Author(s):  
Gui-Jun Pan ◽  
Duan-Ming Zhang ◽  
Hong-Zhang Sun ◽  
Yan-Ping Yin
Keyword(s):  
Universality Class ◽  
Abelian Sandpile ◽  
Sandpile Models

scholarly journals Algebraic aspects of Abelian sandpile models

1995 ◽  
Vol 28 (4) ◽  
pp. 805-831 ◽  
Author(s):  
D Dhar ◽  
P Ruelle ◽  
S Sen ◽  
D -N Verma
Keyword(s):  
Abelian Sandpile ◽  
Sandpile Models

Exact results for the directed Abelian sandpile models

1999 ◽  
Vol 32 (9) ◽  
pp. 1629-1641 ◽  
Author(s):  
Tomoko Tsuchiya ◽  
Makoto Katori
Keyword(s):  
Exact Results ◽  
Abelian Sandpile ◽  
Sandpile Models

An object-based model for convective cold pool dynamics

2016 ◽  
Vol 2 (1) ◽  
Author(s):  
S.J. Böing
Keyword(s):  
Lower Layer ◽  
Cold Pool ◽  
Moist Convection ◽  
Physical Processes ◽  
Object Based ◽  
Abelian Sandpile ◽  
Strong Convection ◽  
Dynamical Features ◽  
Sandpile Models ◽  
Convective Organization

AbstractA simple model of the organization of atmospheric moist convection by cold outflows is presented. The model consists of two layers: a lower layer where instability gradually builds up, and an upper layer where instability is rapidly released. Its formulation is inspired by Abelian sandpile models: instability and convection are both represented in terms of particles that are coupled to a lattice grid. An excess of particles in the lower layer triggers a particle release into the upper (cloud) layer. Particles in the upper layer also induce particle movement in the lower layer: this reverse coupling represents the effect of precipitation and the associated cold outflows.The model shows two behavioral regimes. Activity is scattered when the reverse coupling is weak, but when it is strong, convection forms cellular patterns. Though this model does not contain a detailed representation of physical processes in convection, it captures some key dynamical features of precipitating convection seen in satellite observations and LES studies. These include the formation of open cells, temporal oscillations in convective intensity, hysteresis, and the effect of precipitation on the scale of convection. We argue that an object-based representation of convection may be able to capture properties of convective organization that are missing in traditional parameterizations.

scholarly journals Non-criticality criteria for Abelian sandpile models with sources and sinks

2018 ◽  
Vol 59 (6) ◽  
pp. 063302 ◽  
Author(s):  
Frank Redig ◽  
Wioletta M. Ruszel ◽  
Ellen Saada
Keyword(s):  
Sources And Sinks ◽  
Abelian Sandpile ◽  
Sandpile Models
Sign in / Sign up

Export Citation Format

Share Document