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Analytical studies of PROTO-SPHERA equilibria

Part of: Laboratory and Astrophysical Plasmas: New Perspectives

Published online by Cambridge University Press:  26 November 2020

P. Buratti Open the ORCID record for P. Buratti [Opens in a new window] ,
B. Tirozzi Open the ORCID record for B. Tirozzi [Opens in a new window] ,
F. Alladio Open the ORCID record for F. Alladio [Opens in a new window]  and
P. Micozzi
P. Buratti*
Affiliation:
Fusion and Nuclear Safety Department, ENEA, C.R. Frascati, Via E. Fermi 45, 00044Frascati (Roma), Italy
B. Tirozzi
Affiliation:
Department of Physics, University La Sapienza of Rome, 00185Roma, Italy
F. Alladio
Affiliation:
Fusion and Nuclear Safety Department, ENEA, C.R. Frascati, Via E. Fermi 45, 00044Frascati (Roma), Italy
P. Micozzi
Affiliation:
Fusion and Nuclear Safety Department, ENEA, C.R. Frascati, Via E. Fermi 45, 00044Frascati (Roma), Italy
*
†Email address for correspondence: [email protected]
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Abstract

Analytical solutions of the Grad–Shafranov equilibrium equation in simply connected plasma configurations, comprised of toroidal magnetic surfaces and open surfaces connected to electrodes, are reviewed and generalised. The Grad–Shafranov equation is linearised introducing assumptions on plasma current and pressure, which preserve regularity of solutions on the symmetry axis, as required for a simply connected geometry. Particular solutions are found by separation of variables both in cylindrical coordinates and in spherical ones. Equilibria that model local or global features of PROTO-SPHERA plasmas are constructed by combining a few particular solutions.

Keywords

plasma confinementplasma simulation
Type
Research Article
Information
Journal of Plasma Physics , Volume 86 , Issue 6 , December 2020 , 845860602
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Copyright
Copyright © The Author(s), 2020. Published by Cambridge University Press

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References

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