Influence of ion-to-electron temperature ratio on tearing instability and resulting subion-scale turbulence in a low-$β_e$ collisionless plasma

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Main Authors: Granier, C., Tassi, E., Laveder, D., Passot, T., Sulem, P. L.
Format: Preprint
Published: 2023
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author Granier, C.
Tassi, E.
Laveder, D.
Passot, T.
Sulem, P. L.
author_facet Granier, C.
Tassi, E.
Laveder, D.
Passot, T.
Sulem, P. L.
contents A two-field gyrofluid model including ion finite Larmor radius (FLR) corrections, magnetic fluctuations along the ambient field and electron inertia is used to study two-dimensional reconnection in a low $β_e$ collisionless plasma, in a plane perpendicular to the ambient field. Both moderate and large values of the ion-to-electron temperature ratio $τ$ are considered. The linear growth rate of the tearing instability is computed for various values of $τ$, confirming the convergence to reduced electron magnetodynamics (REMHD) predictions in the large $τ$ limit. Comparisons with analytical estimates in several limit cases are also presented. The nonlinear dynamics leads to a fully-developed turbulent regime that appears to be sensitive to the value of the parameter $τ$. For $τ= 100$, strong large-scale velocity shears trigger Kelvin-Helmholtz instability, leading to the propagation of the turbulence through the separatrices, together with the formation of eddies of size of the order of the electron skin depth. In the $τ= 1$ regime, the vortices are significantly smaller and their accurate description requires that electron FLR effects be taken into account.
format Preprint
id arxiv_https___arxiv_org_abs_2311_01539
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Influence of ion-to-electron temperature ratio on tearing instability and resulting subion-scale turbulence in a low-$β_e$ collisionless plasma
Granier, C.
Tassi, E.
Laveder, D.
Passot, T.
Sulem, P. L.
Plasma Physics
A two-field gyrofluid model including ion finite Larmor radius (FLR) corrections, magnetic fluctuations along the ambient field and electron inertia is used to study two-dimensional reconnection in a low $β_e$ collisionless plasma, in a plane perpendicular to the ambient field. Both moderate and large values of the ion-to-electron temperature ratio $τ$ are considered. The linear growth rate of the tearing instability is computed for various values of $τ$, confirming the convergence to reduced electron magnetodynamics (REMHD) predictions in the large $τ$ limit. Comparisons with analytical estimates in several limit cases are also presented. The nonlinear dynamics leads to a fully-developed turbulent regime that appears to be sensitive to the value of the parameter $τ$. For $τ= 100$, strong large-scale velocity shears trigger Kelvin-Helmholtz instability, leading to the propagation of the turbulence through the separatrices, together with the formation of eddies of size of the order of the electron skin depth. In the $τ= 1$ regime, the vortices are significantly smaller and their accurate description requires that electron FLR effects be taken into account.
title Influence of ion-to-electron temperature ratio on tearing instability and resulting subion-scale turbulence in a low-$β_e$ collisionless plasma
topic Plasma Physics
url https://arxiv.org/abs/2311.01539