Continuous Abelian Sandpile Model in Two Dimensional Lattice

Details Continuous Abelian Sandpile Model in Two Dimensional Lattice Continuous Abelian Sandpile Model in Two Dimensional Lattice

2007-10-17

arxiv.org/abs/0710.3292v2

Physics

Condensed Matter

Statistical Mechanics

10 Pages, 5 Figures

Scientific paper

We define 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 effect of very small mass on the height probabilities, different boundary conditions, etc.

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