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dc.contributor.authorRypdal, Martin
dc.contributor.authorRypdal, Kristoffer
dc.date.accessioned2009-05-18T11:07:21Z
dc.date.available2009-05-18T11:07:21Z
dc.date.issued2008-07-22
dc.description.abstractA stochastic theory for the toppling activity in sandpile models is developed, based on a simple mean-field assumption about the toppling process. The theory describes the process as an anti-persistent Gaussian walk, where the diffusion coefficient is proportional to the activity. It is formulated as a generalization of the Itˆo stochastic differential equation with an anti-persistent fractional Gaussian noise source. An essential element of the theory is re-scaling to obtain a proper thermodynamic limit, and it captures all temporal features of the toppling process obtained by numerical simulation of the Bak-Tang-Wiesenfeld sandpile in this limiten
dc.format.extent332201 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/10037/1860
dc.identifier.urnURN:NBN:no-uit_munin_1621
dc.language.isoengen
dc.rights.accessRightsopenAccess
dc.subjectVDP::Mathematics and natural science: 400::Physics: 430en
dc.subjectStatistical Finance (q-fin.ST)en
dc.subjectAdaptation and Self-Organizing Systems (nlin.AO)en
dc.subjectCellular Automata and Lattice Gases (nlin.CG)en
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410::Statistics: 412en
dc.titleA stochastic theory for temporal fluctuations in self-organized critical systemsen
dc.typeWorking paperen
dc.typeArbeidsnotaten


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