dorsal/arxiv
View SchemaSmall scale structures in three-dimensional magnetohydrodynamic turbulence
| Authors | P. D. Mininni, A. Pouquet, D. C. Montgomery |
|---|---|
| Categories | |
| ArXiv ID | physics/0607269 |
| URL | https://arxiv.org/abs/physics/0607269 |
| DOI | 10.1103/PhysRevLett.97.244503 |
| Journal | Phys. Rev. Lett. 97, 244503 (2006) |
Abstract
We investigate using direct numerical simulations with grids up to 1536^3 points, the rate at which small scales develop in a decaying three-dimensional MHD flow both for deterministic and random initial conditions. Parallel current and vorticity sheets form at the same spatial locations, and further destabilize and fold or roll-up after an initial exponential phase. At high Reynolds numbers, a self-similar evolution of the current and vorticity maxima is found, in which they grow as a cubic power of time; the flow then reaches a finite dissipation rate independent of Reynolds number.
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"abstract": "We investigate using direct numerical simulations with grids up to 1536^3\npoints, the rate at which small scales develop in a decaying three-dimensional\nMHD flow both for deterministic and random initial conditions. Parallel current\nand vorticity sheets form at the same spatial locations, and further\ndestabilize and fold or roll-up after an initial exponential phase. At high\nReynolds numbers, a self-similar evolution of the current and vorticity maxima\nis found, in which they grow as a cubic power of time; the flow then reaches a\nfinite dissipation rate independent of Reynolds number.",
"arxiv_id": "physics/0607269",
"authors": [
"P. D. Mininni",
"A. Pouquet",
"D. C. Montgomery"
],
"categories": [
"physics.flu-dyn",
"physics.plasm-ph"
],
"doi": "10.1103/PhysRevLett.97.244503",
"journal_ref": "Phys. Rev. Lett. 97, 244503 (2006)",
"title": "Small scale structures in three-dimensional magnetohydrodynamic turbulence",
"url": "https://arxiv.org/abs/physics/0607269"
},
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