Thermodynamics of MHD flows with axial symmetry - Laboratoire de Physique Théorique - LPT Accéder directement au contenu
Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2005

Thermodynamics of MHD flows with axial symmetry

Résumé

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.
Fichier principal
Vignette du fichier
ThermoMHD.pdf (194.27 Ko) Télécharger le fichier
Loading...

Dates et versions

hal-00002175 , version 1 (05-07-2004)

Identifiants

Citer

Nicolas Leprovost, Pierre-Henri Chavanis, Bérengère Dubrulle. Thermodynamics of MHD flows with axial symmetry. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2005, 71, pp.036311. ⟨10.1103/PhysRevE.71.036311⟩. ⟨hal-00002175⟩
106 Consultations
53 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More