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Abstract

The recently proposed variational principle called the entropy principle'' is now applied with alternative constraints to cyclindrical plasmas. These alternative constraints are that the pressure balance relation and Ohm's law with Spitzer conductivity and constant electric field should persist during the variations, placing the constraint of fixed relations between the plasma pressure and density profiles used. This leads to a one-parameter family of slighly paramagnetic equilibria, the parameter being the internal plasma beta. The safety factor ratio is found to be about two. The corresponding plasmas are close to isentropic and their profiles agree reasonably well with Coppi's profile consistence formula for the temperature profiles. A modification of Coppi's formula which greatly improves the agreement is given.

Additional information

Authors: PFIRSCH D, IPP, D;POHL F IPP, D, IPP, D
Bibliographic Reference: REPORT IPP-6/270, 1987, AVAILABILITY: MAX-PLANCK-INSTITUT, MUENCHEN, D
Record Number: 1989126097900 / Last updated on: 1989-05-01
Category: PUBLICATION
Available languages: en