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Stochastic proton heating by kinetic-Alfvén-wave turbulence in moderately high-β plasmas

Hoppock, IW; Chandran, BDG; Klein, KG; Mallet, A; Verscharen, D; (2018) Stochastic proton heating by kinetic-Alfvén-wave turbulence in moderately high-β plasmas. Journal of Plasma Physics , 84 (6) , Article 905840615. 10.1017/S0022377818001277. Green open access

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Abstract

Stochastic heating refers to an increase in the average magnetic moment of charged particles interacting with electromagnetic fluctuations whose frequencies are smaller than the particles’ cyclotron frequencies. This type of heating arises when the amplitude of the gyroscale fluctuations exceeds a certain threshold, causing particle orbits in the plane perpendicular to the magnetic field to become stochastic rather than nearly periodic. We consider the stochastic heating of protons by Alfv´en-wave (AW) and kinetic-Alfv´en-wave (KAW) turbulence, which may make an important contribution to the heating of the solar wind. Using phenomenological arguments, we derive the stochastic-proton-heating rate in plasmas in which βp ∼ 1 − 30, where βp is the ratio of the proton pressure to the magnetic pressure. (We do not consider the βp & 30 regime, in which KAWs at the proton gyroscale become non-propagating.) We test our formula for the stochasticheating rate by numerically tracking test-particle protons interacting with a spectrum of randomly phased AWs and KAWs. Previous studies have demonstrated that at βp . 1, particles are energized primarily by time variations in the electrostatic potential and thermal-proton gyro-orbits are stochasticized primarily by gyroscale fluctuations in the electrostatic potential. In contrast, at βp & 1, particles are energized primarily by the solenoidal component of the electric field and thermal-proton gyro-orbits are stochasticized primarily by gyroscale fluctuations in the magnetic field.

Type: Article
Title: Stochastic proton heating by kinetic-Alfvén-wave turbulence in moderately high-β plasmas
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0022377818001277
Publisher version: https://doi.org/10.1017/S0022377818001277
Language: English
Additional information: This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Space and Climate Physics
URI: https://discovery.ucl.ac.uk/id/eprint/10062089
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