dorsal/arxiv
View SchemaMetamorphosis of plasma turbulence-shear flow dynamics through a transcritical bifurcation
| Authors | R. Ball, R. L. Dewar, H. Sugama |
|---|---|
| Categories | |
| ArXiv ID | physics/0206078 |
| URL | https://arxiv.org/abs/physics/0206078 |
| DOI | 10.1103/PhysRevE.66.066408 |
| Journal | Physical Review E 66, 066408-1--066408-9, 2002 |
Abstract
The structural properties of an economical model for a confined plasma turbulence governor are investigated through bifurcation and stability analyses. A close relationship is demonstrated between the underlying bifurcation framework of the model and typical behavior associated with low- to high-confinement transitions such as shear flow stabilization of turbulence and oscillatory collective action. In particular, the analysis evinces two types of discontinuous transition that are qualitatively distinct. One involves classical hysteresis, governed by viscous dissipation. The other is intrinsically oscillatory and non-hysteretic, and thus provides a model for the so-called dithering transitions that are frequently observed. This metamorphosis, or transformation, of the system dynamics is an important late side-effect of symmetry-breaking, which manifests as an unusual non-symmetric transcritical bifurcation induced by a significant shear flow drive.
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"abstract": "The structural properties of an economical model for a confined plasma\nturbulence governor are investigated through bifurcation and stability\nanalyses. A close relationship is demonstrated between the underlying\nbifurcation framework of the model and typical behavior associated with low- to\nhigh-confinement transitions such as shear flow stabilization of turbulence and\noscillatory collective action. In particular, the analysis evinces two types of\ndiscontinuous transition that are qualitatively distinct. One involves\nclassical hysteresis, governed by viscous dissipation. The other is\nintrinsically oscillatory and non-hysteretic, and thus provides a model for the\nso-called dithering transitions that are frequently observed. This\nmetamorphosis, or transformation, of the system dynamics is an important late\nside-effect of symmetry-breaking, which manifests as an unusual non-symmetric\ntranscritical bifurcation induced by a significant shear flow drive.",
"arxiv_id": "physics/0206078",
"authors": [
"R. Ball",
"R. L. Dewar",
"H. Sugama"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1103/PhysRevE.66.066408",
"journal_ref": "Physical Review E 66, 066408-1--066408-9, 2002",
"title": "Metamorphosis of plasma turbulence-shear flow dynamics through a transcritical bifurcation",
"url": "https://arxiv.org/abs/physics/0206078"
},
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