Characteristics of Deterministic and Stochastic Sandpile Models in a Rotational Sandpile Model

Details Characteristics of Deterministic and Stochastic Sandpile Models in a Rotational Sandpile Model Characteristics of Deterministic and Stochastic Sandpile Models in a Rotational Sandpile Model

2008-07-15

arxiv.org/abs/0807.2299v1

Phys. Rev. E75, 041122 (2007)

Physics

Condensed Matter

Soft Condensed Matter

27 pages, 11 figures

Scientific paper

10.1103/PhysRevE.75.041122

Rotational constraint representing a local external bias generally has non-trivial effect on the critical behavior of lattice statistical models in equilibrium critical phenomena. In order to study the effect of rotational bias in a out of equilibrium situation like self-organized criticality, a new two state ``quasi-deterministic'' rotational sandpile model is developed here imposing rotational constraint on the flow of sand grains. An extended set of new critical exponents are found to characterize the avalanche properties at the non-equilibrium steady state of the model. The probability distribution functions are found to obey usual finite size scaling supported by negative time autocorrelation between the toppling waves. The model exhibits characteristics of both deterministic and stochastic sandpile models.

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