Thermodynamics of MHD flows with axial symmetry

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dc.creatorLeprovost, Nicolas
dc.creatorChavanis, Pierre-Henri
dc.creatorDubrulle, Berengere
dc.date2004-07-05
dc.date.accessioned2026-07-07T05:52:12Z
dc.date.available2026-07-07T05:52:12Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/physics/0407025
dc.identifierhttp://arxiv.org/abs/physics/0407025
dc.identifierPhysical Review E 71 (2005) 036311
dc.identifierdoi:10.1103/PhysRevE.71.036311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/86248
dc.subjectFluid Dynamics
dc.subjectPlasma Physics
dc.titleThermodynamics of MHD flows with axial symmetry
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