dHybridR: a Hybrid–Particle-in-Cell Code Including Relativistic Ion Dynamics. (arXiv:1909.05255v1 [astro-ph.HE])

<a href="http://arxiv.org/find/astro-ph/1/au:+Haggerty_C/0/1/0/all/0/1">Colby C. Haggerty</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Caprioli_D/0/1/0/all/0/1">Damiano Caprioli</a>

We present the first plasma simulations obtained with the code dHybridR, a

hybrid particle-in-cell code with fluid electrons and kinetic relativistic

ions. dHybridR is perfectly suited for all the astrophysical and space-physics

problems where a few energetic non-thermal particles (i.e., Cosmic Rays, CRs)

affect the overall dynamics of a non-relativistic plasma, such as CR-driven

instabilities, collisionless shocks, magnetic reconnection, turbulence, etc. In

this method paper we provide some applications to linear (resonant/non-resonant

CR streaming instability) and strongly non-linear (parallel shocks) problems

that show the capabilities of the code. In particular, we provide the first

self-consistent hybrid runs that show the acceleration of relativistic ions at

non-relativistic shocks; CRs develop a power-law in momentum, which translates

to a broken power law in energy that exhibits a steepening around the ion rest

mass, as predicted by the theory of diffusive shock acceleration. To outline

the vast range of possible applications of dHybridR, we show some examples of

2D runs relevant for fast shocks in radio supernovae, whose evolution can be

followed in real time, and 3D runs of low-Mach-number heliospheric shocks,

which can be compared with in-situ spacecraft observations.

We present the first plasma simulations obtained with the code dHybridR, a

hybrid particle-in-cell code with fluid electrons and kinetic relativistic

ions. dHybridR is perfectly suited for all the astrophysical and space-physics

problems where a few energetic non-thermal particles (i.e., Cosmic Rays, CRs)

affect the overall dynamics of a non-relativistic plasma, such as CR-driven

instabilities, collisionless shocks, magnetic reconnection, turbulence, etc. In

this method paper we provide some applications to linear (resonant/non-resonant

CR streaming instability) and strongly non-linear (parallel shocks) problems

that show the capabilities of the code. In particular, we provide the first

self-consistent hybrid runs that show the acceleration of relativistic ions at

non-relativistic shocks; CRs develop a power-law in momentum, which translates

to a broken power law in energy that exhibits a steepening around the ion rest

mass, as predicted by the theory of diffusive shock acceleration. To outline

the vast range of possible applications of dHybridR, we show some examples of

2D runs relevant for fast shocks in radio supernovae, whose evolution can be

followed in real time, and 3D runs of low-Mach-number heliospheric shocks,

which can be compared with in-situ spacecraft observations.

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