Organized versus self-organized criticality in the abelian sandpile model
Fey, A. ; Redig, F.
arXiv, 0510060 / Harvested from arXiv
Text on arXiv
We define stabilizability of an infinite volume height configuration and of a probability measure on height configurations. We show that for high enough densities, a probability measure cannot be stabilized. We also show that in some sense the thermodynamic limit of the uniform measures on the recurrent configurations of the abelian sandpile model (ASM) is a maximal element of the set of stabilizable measures. In that sense the self-organized critical behavior of the ASM can be understood in terms of an ordinary transition between stabilizable and non-stabilizable
Publié le : 2005-10-17
Classification:  Mathematical Physics,  Mathematics - Probability,  60K35, 82C22 
@article{0510060,
     author = {Fey, A. and Redig, F.},
     title = {Organized versus self-organized criticality in the abelian sandpile
  model},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0510060}
}

Fey, A.; Redig, F. Organized versus self-organized criticality in the abelian sandpile
  model. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0510060/