• Corpus ID: 8242356

# Self-organized criticality via stochastic partial differential equations

@article{Barbu2008SelforganizedCV,
title={Self-organized criticality via stochastic partial differential equations},
author={Viorel Barbu and Philippe Blanchard and Giuseppe Da Prato and Michael Rockner},
journal={arXiv: Probability},
year={2008}
}
• Published 13 November 2008
• Mathematics
• arXiv: Probability
Models of self-organized criticality, which can be described as singular diffusions with or without (multiplicative) Wiener forcing term (as e.g. the Bak/Tang/Wiesenfeld- and Zhang-models), are analyzed. Existence and uniqueness of nonnegative strong solutions are proved. Previously numerically predicted transition to the critical state in 1-D is confirmed by a rigorous proof that this indeed happens in finite time with high probability.
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