An energy principle for hydromagnetic stability problems

Abstract

The problem of the stability of static, highly conducting, fully ionized plasmas is investigated by means of an energy principle developed from one introduced by Lundquist. The derivation of the principle and the conditions under which it applies are given. The method is applied to find complete stability criteria for two types of equilibrium situations. The first concerns plasmas which are completely separated from the magnetic field by an interface. The second is the general axisymmetric system.

Keywords

Free energy principlePlasmaStability (learning theory)PhysicsMagnetic fieldRotational symmetryMagnetohydrodynamicsEnergy (signal processing)Classical mechanicsMechanicsMathematicsComputer scienceQuantum mechanics

Affiliated Institutions

Princeton University US

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Publication Info

Year: 1958
Type: article
Volume: 244
Issue: 1236
Pages: 17-40
Citations: 1211
Access: Closed

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APA Style

                            
                                
                                    Ira B. Bernstein, 
                                
                                    E. A. Frieman, 
                                
                                    Martin D. Kruskal
                                
                                et al.
                            
                            (1958). 
                            An energy principle for hydromagnetic stability problems. 
                            Proceedings of the Royal Society of London A Mathematical and Physical Sciences
                            , 244
                            (1236)
                            , 17-40.
                            https://doi.org/10.1098/rspa.1958.0023
                        

Identifiers

DOI: 10.1098/rspa.1958.0023