dorsal/arxiv
View SchemaThermodynamics of MHD flows with axial symmetry
| Authors | Nicolas Leprovost, Pierre-Henri Chavanis, Berengere Dubrulle |
|---|---|
| Categories | |
| ArXiv ID | physics/0407025 |
| URL | https://arxiv.org/abs/physics/0407025 |
| DOI | 10.1103/PhysRevE.71.036311 |
| Journal | Physical Review E 71 (2005) 036311 |
Abstract
We present strategies based upon extremization principles, in the case of the axisymmetric equations of magnetohydrodynamics (MHD). We study the equilibrium shape by using a minimum energy principle under the constraints of the MHD axisymmetric equations. We also propose a numerical algorithm based on a maximum energy dissipation principle to compute in a consistent way the equilibrium states. Then, we develop the statistical mechanics of such flows and recover the same equilibrium states giving a justification of the minimum energy principle. We find that fluctuations obey a Gaussian shape and we make the link between the conservation of the Casimirs on the coarse-grained scale and the process of energy dissipation.
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"abstract": "We present strategies based upon extremization principles, in the case of the\naxisymmetric equations of magnetohydrodynamics (MHD). We study the equilibrium\nshape by using a minimum energy principle under the constraints of the MHD\naxisymmetric equations. We also propose a numerical algorithm based on a\nmaximum energy dissipation principle to compute in a consistent way the\nequilibrium states. Then, we develop the statistical mechanics of such flows\nand recover the same equilibrium states giving a justification of the minimum\nenergy principle. We find that fluctuations obey a Gaussian shape and we make\nthe link between the conservation of the Casimirs on the coarse-grained scale\nand the process of energy dissipation.",
"arxiv_id": "physics/0407025",
"authors": [
"Nicolas Leprovost",
"Pierre-Henri Chavanis",
"Berengere Dubrulle"
],
"categories": [
"physics.flu-dyn",
"physics.plasm-ph"
],
"doi": "10.1103/PhysRevE.71.036311",
"journal_ref": "Physical Review E 71 (2005) 036311",
"title": "Thermodynamics of MHD flows with axial symmetry",
"url": "https://arxiv.org/abs/physics/0407025"
},
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