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    Unified Phenomenology and Test-Particle Simulations of Ion Heating in Low-β Plasmas

    Zade Johnston*, Jonathan Squire, and Romain Meyrand

    • *Contact author: johza721@student.otago.ac.nz

    Phys. Rev. Lett. 135, 095201 – Published 25 August, 2025

    DOI: https://doi.org/10.1103/rp85-hhg4

    Abstract

    We argue that stochastic and resonant ion heating, often viewed as distinct processes in low-β collisionless plasmas, are the far limits of a continuum controlled by nonlinear broadening of turbulent fluctuations, and thus by the normalized cross helicity. We propose a simple empirical formula that captures both regimes, generalizing the model commonly used to describe stochastic heating. Simulations of test ions interacting with turbulence confirm our scalings across a wide range of different ion and turbulence properties, including with a steep ion-kinetic transition range as seen in the solar wind. Our results provide a unified framework for understanding ion heating processes across diverse astrophysical environments from black-hole accretion disks to the solar corona, also providing a compact and versatile subgrid model for larger-scale simulations.

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