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Phase transition to blob-hole coherent structure in the Hasegawa–Mima model for plasmas

Part of: Hamiltonian Methods in Plasma Physics Focus on Fusion

Published online by Cambridge University Press:  01 December 2021

Chjan C. Lim Open the ORCID record for Chjan C. Lim [Opens in a new window]
Chjan C. Lim*
Affiliation:
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY12180, USA
*
†Email address for correspondence: [email protected]
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Abstract

An equilibrium statistical mechanics theory for the Hasegawa–Mima equations of toroidal plasmas, with canonical constraint on energy and microcanonical constraint on potential enstrophy, is solved exactly as a spherical model. The use of a canonical energy constraint instead of a fixed-energy microcanonical approach is justified by the preference for viewing real plasmas as an open system. A significant consequence of the results obtained from the partition function, free energy and critical temperature, is the condensation into a ground state exhibiting a blob-hole-like structure observed in real plasmas.

Keywords

plasmasturbulent flowsinstability
Type
Research Article
Information
Journal of Plasma Physics , Volume 87 , Issue 6 , December 2021 , 835870601
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Copyright
Copyright © The Author(s), 2021. Published by Cambridge University Press

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