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Statistics of toppling wave boundaries in deterministic and stochastic sandpile models
- Source :
- Journal of Physics A: Mathematical and Theoretical. 45:045001
- Publication Year :
- 2011
- Publisher :
- IOP Publishing, 2011.
-
Abstract
- We study numerically the statistics of curves which form the boundaries of toppling wave clusters in the deterministic Bak, Tang and Wiesenfeld sandpile model and stochastic Manna model on a square lattice. We consider the Abelian version of each model. Multiple tests show that the boundary of toppling wave clusters in both deterministic and stochastic models can be described by SLEκ curves with diffusivity κ = 2.
- Subjects :
- Statistics and Probability
Abelian sandpile model
Stochastic modelling
General Physics and Astronomy
Boundary (topology)
Statistical and Nonlinear Physics
Nonlinear Sciences::Cellular Automata and Lattice Gases
Thermal diffusivity
Square lattice
Nonlinear Sciences::Adaptation and Self-Organizing Systems
Modeling and Simulation
Statistics
Condensed Matter::Statistical Mechanics
Statistical physics
Abelian group
Mathematical Physics
Mathematics
Subjects
Details
- ISSN :
- 17518121 and 17518113
- Volume :
- 45
- Database :
- OpenAIRE
- Journal :
- Journal of Physics A: Mathematical and Theoretical
- Accession number :
- edsair.doi...........3e548c52fb5e5261f507f8dd2dc10df7
- Full Text :
- https://doi.org/10.1088/1751-8113/45/4/045001