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Gyrofluid analysis of electron βe effects on collisionless reconnection

Published online by Cambridge University Press:  08 February 2022

C. Granier Open the ORCID record for C. Granier [Opens in a new window] ,
D. Borgogno Open the ORCID record for D. Borgogno [Opens in a new window] ,
D. Grasso Open the ORCID record for D. Grasso [Opens in a new window]  and
E. Tassi Open the ORCID record for E. Tassi [Opens in a new window]
C. Granier*
Affiliation:
Université Côte d'Azur, CNRS, Observatoire de la Côte d'Azur, Laboratoire J. L. Lagrange, Boulevard de l'Observatoire, CS 34229, 06304Nice Cedex 4, France Istituto dei Sistemi Complessi – CNR and Dipartimento di Energia, Politecnico di Torino, Torino10129, Italy
D. Borgogno
Affiliation:
Istituto dei Sistemi Complessi – CNR and Dipartimento di Energia, Politecnico di Torino, Torino10129, Italy
D. Grasso
Affiliation:
Istituto dei Sistemi Complessi – CNR and Dipartimento di Energia, Politecnico di Torino, Torino10129, Italy
E. Tassi
Affiliation:
Université Côte d'Azur, CNRS, Observatoire de la Côte d'Azur, Laboratoire J. L. Lagrange, Boulevard de l'Observatoire, CS 34229, 06304Nice Cedex 4, France
*
†Email address for correspondence: camille.granier@oca.eu
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Abstract

The linear and nonlinear evolutions of the tearing instability in a collisionless plasma with a strong guide field are analysed on the basis of a two-field Hamiltonian gyrofluid model. The model is valid for a low ion temperature and a finite $\beta _e$. The finite $\beta _e$ effect implies a magnetic perturbation along the guide field direction, and electron finite Larmor radius effects. A Hamiltonian derivation of the model is presented. A new dispersion relation of the tearing instability is derived for the case $\beta _e=0$ and tested against numerical simulations. For $\beta _e \ll 1$ the equilibrium electron temperature is seen to enhance the linear growth rate, whereas we observe a stabilizing role when electron finite Larmor radius effects become more relevant. In the nonlinear phase, stall phases and faster than exponential phases are observed, similarly to what occurs in the presence of ion finite Larmor radius effects. Energy transfers are analysed and the conservation laws associated with the Casimir invariants of the model are also discussed. Numerical simulations seem to indicate that finite $\beta _e$ effects do not produce qualitative modifications in the structures of the Lagrangian invariants associated with Casimirs of the model.

Keywords

astrophysical plasmasplasma instabilitiesspace plasma physics
Type
Research Article
Information
Journal of Plasma Physics , Volume 88 , Issue 1 , February 2022 , 905880111
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Copyright
Copyright © The Author(s), 2022. Published by Cambridge University Press

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