Open AccessSelf-organized criticality, long-time correlations, and the standard transport paradigm
Author(s) -
John A. Krommes
Publication year - 2000
Language(s) - English
Resource type - Reports
DOI - 10.2172/751200
Subject(s) - statistical physics , self organized criticality , criticality , uncorrelated , spectral density , power law , balance (ability) , physics , stochastic process , detailed balance , turbulence , balance equation , mathematics , statistics , markov process , mechanics , psychology , markov model , neuroscience , nuclear physics
Some aspects of low-frequency, long-wavelength fluctuations are considered. A stochastic model is used to show that power-law time correlations need not arise from self-organized criticality. A formula for the frequency spectrum of uncorrelated, overlapping avalanches is shown to be a special case of the spectral balance equation of renormalized statistical turbulence theory. It is argued that there need be no contradiction between the presence of long-time correlations and the existence of local transport coefficients