# Self-organized criticality, long-time correlations, and the standard transport paradigm

## Abstract

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. (c) 2000 American Institute of Physics.

- Authors:

- Princeton University, P.O. Box 451, Princeton, New Jersey 08543-0451 (United States)

- Publication Date:

- OSTI Identifier:
- 20216045

- Resource Type:
- Journal Article

- Journal Name:
- Physics of Plasmas

- Additional Journal Information:
- Journal Volume: 7; Journal Issue: 5; Other Information: PBD: May 2000; Journal ID: ISSN 1070-664X

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CHARGED-PARTICLE TRANSPORT THEORY; TURBULENCE; PLASMA; STOCHASTIC PROCESSES; CRITICALITY; THEORETICAL DATA

### Citation Formats

```
Krommes, John A.
```*Self-organized criticality, long-time correlations, and the standard transport paradigm*. United States: N. p., 2000.
Web. doi:10.1063/1.873995.

```
Krommes, John A.
```*Self-organized criticality, long-time correlations, and the standard transport paradigm*. United States. doi:10.1063/1.873995.

```
Krommes, John A. Mon .
"Self-organized criticality, long-time correlations, and the standard transport paradigm". United States. doi:10.1063/1.873995.
```

```
@article{osti_20216045,
```

title = {Self-organized criticality, long-time correlations, and the standard transport paradigm},

author = {Krommes, John A.},

abstractNote = {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. (c) 2000 American Institute of Physics.},

doi = {10.1063/1.873995},

journal = {Physics of Plasmas},

issn = {1070-664X},

number = 5,

volume = 7,

place = {United States},

year = {2000},

month = {5}

}

DOI: 10.1063/1.873995

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