dorsal/arxiv
View SchemaNon-diffusive transport in plasma turbulence: a fractional diffusion approach
| Authors | D. del-Castillo-Negrete, B. A. Carreras, V. E. Lynch |
|---|---|
| Categories | |
| ArXiv ID | physics/0403039 |
| URL | https://arxiv.org/abs/physics/0403039 |
| DOI | 10.1103/PhysRevLett.94.065003 |
| Journal | Physical Review Letters 94, 065003 (2005) |
Abstract
Numerical evidence of non-diffusive transport in three-dimensional, resistive pressure-gradient-driven plasma turbulence is presented. It is shown that the probability density function (pdf) of test particles' radial displacements is strongly non-Gaussian and exhibits algebraic decaying tails. To model these results we propose a macroscopic transport model for the pdf based on the use of fractional derivatives in space and time, that incorporate in a unified way space-time non-locality (non-Fickian transport), non-Gaussianity, and non-diffusive scaling. The fractional diffusion model reproduces the shape, and space-time scaling of the non-Gaussian pdf of turbulent transport calculations. The model also reproduces the observed super-diffusive scaling.
{
"annotation_id": "2a7bf6ae-6eaf-4dfc-8679-b0a2fdc45f67",
"date_created": "2026-03-02T18:00:50.497000Z",
"date_modified": "2026-03-02T18:00:50.497000Z",
"file_hash": "02f4906058fac03695db189c36281c049f2b62d349e692a3ef264974307d758e",
"private": false,
"record": {
"abstract": "Numerical evidence of non-diffusive transport in three-dimensional, resistive\npressure-gradient-driven plasma turbulence is presented. It is shown that the\nprobability density function (pdf) of test particles\u0027 radial displacements is\nstrongly non-Gaussian and exhibits algebraic decaying tails. To model these\nresults we propose a macroscopic transport model for the pdf based on the use\nof fractional derivatives in space and time, that incorporate in a unified way\nspace-time non-locality (non-Fickian transport), non-Gaussianity, and\nnon-diffusive scaling. The fractional diffusion model reproduces the shape, and\nspace-time scaling of the non-Gaussian pdf of turbulent transport calculations.\nThe model also reproduces the observed super-diffusive scaling.",
"arxiv_id": "physics/0403039",
"authors": [
"D. del-Castillo-Negrete",
"B. A. Carreras",
"V. E. Lynch"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1103/PhysRevLett.94.065003",
"journal_ref": "Physical Review Letters 94, 065003 (2005)",
"title": "Non-diffusive transport in plasma turbulence: a fractional diffusion approach",
"url": "https://arxiv.org/abs/physics/0403039"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "4201c100-d824-4bbe-9c60-fa0b0c604c2f",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}