Work

Eulerian ion energisation in three-dimensional hybrid-Vlasov-Maxwell turbulence

Year: 2026
Type: preprint
Abstract: In collisionless plasma turbulence, energy is transferred from electromagnetic fluctuations to the particles. However, the relative contributions of different ion energisation mechanisms remain unclear. We investigate ion energisation in three-dimensional hybrid Vlasov--Maxwell simulations of decaying turbulence at $β_{i0}=0.25$ and $β_{i0}=4$, where $β_{i0}$ is the initial ratio of ion thermal to magnetic pressure. Using the exact ion momentum equation, we decompose the ion energisation rate $\mathbf{j}_i\mathbf{\cdot}\mathbf{E}$ into the work done on the parallel, diamagnetic, curvature, agyrotropic and polarisation ion currents. This decomposition requires neither gyrotropy nor scale separation and, therefore, remains valid where guiding-centre theory breaks down. We show that the agyrotropic term, which has no guiding-centre counterpart, accounts for $21\,\%$ of the energisation at $β_{i0}=0.25$ and $91\,\%$ at $β_{i0}=4$. We find that the dominant instantaneous energisation term changes with $β_{i0}$, from the polarisation current at low $β_{i0}$ to the diamagnetic and agyrotropic currents at high $β_{i0}$, at all resolved scales. In addition, we show that reversible exchange with the ion bulk flow dominates the instantaneous rate, so the time-integrated energy transfer is larger at $β_{i0}=4$ even though the instantaneous rate is smaller. Our results provide quantitative evidence that guiding-centre drifts alone cannot describe ion energisation in kinetic-scale turbulence and that the dominant energisation term depends on $β_i$. The results also highlight the key role of non-local thermodynamic-equilibrium effects in energy conversion in collisionless plasma turbulence.
Language: English
Open Access status: green
OpenAlex ID: W7222919926
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