Current Advance Method and Cyclic Leapfrog for 2D Multispecies Hybrid Plasma Simulations

Matthews, A. P.

doi:10.1006/jcph.1994.1084

Cited by 235 publications

(212 citation statements)

References 3 publications

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“…The electric and magnetic fields and the ion current density are advanced using the CAM-CL algorithm (current advance method and cyclic leapfrog;see Matthews 1994). The simulation is performed in a two-dimensional rectangular domain in space, 3200 i l in X and 128 i l in Y, with a cell size of 0.5 by 0.5 i l .…”

Section: Simulation Environmentmentioning

confidence: 99%

Ion Acceleration at the Quasi-Parallel Bow Shock: Decoding the Signature of Injection

Sundberg

Haynes

Burgess

et al. 2016

ApJ

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Collisionless shocks are efficient particle accelerators. At Earth, ions with energies exceeding 100 keV are seen upstream of the bow shock when the magnetic geometry is quasi-parallel, and large-scale supernova remnant shocks can accelerate ions into cosmic-rayenergies. This energization is attributed to diffusive shock acceleration;however, for this process to become active, the ions must first be sufficiently energized. How and where this initial acceleration takes place has been one of the key unresolved issues in shock acceleration theory. Using Cluster spacecraft observations, we study the signatures of ion reflection events in the turbulent transition layer upstream of the terrestrial bow shock, and with the support of a hybrid simulation of the shock, we show that these reflection signatures are characteristic of the first step in the ion injection process. These reflection events develop in particular in the region where the trailing edge of large-amplitude upstream waves intercept the local shock ramp and the upstream magnetic field changes from quasi-perpendicular to quasi-parallel. The dispersed ion velocity signature observed can be attributed to a rapid succession of ion reflections at this wave boundary. After the ions' initial interaction with the shock, they flow upstream along the quasi-parallel magnetic field. Each subsequent wavefront in the upstream region will sweep the ions back toward the shock, where they gain energy with each transition between the upstream and the shock wave frames. Within three to five gyroperiods, some ions have gained enough parallel velocity to escape upstream, thus completing the injection process.

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Section: Simulation Environmentmentioning

confidence: 99%

Ion Acceleration at the Quasi-Parallel Bow Shock: Decoding the Signature of Injection

Sundberg

Haynes

Burgess

et al. 2016

ApJ

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“…A hybrid kinetic (particle ions and massless fluid electrons) computer model of the solar wind interaction with Mercury is used. The procedure and algorithm upon which the model is based is detailed in Matthews 17 . The magnetosphere is assumed to be twodimensional and oriented to lie in the equatorial plane of the planetary orbit of Mercury about the Sun.…”

Section: Messenger Spacecraft Observations Of the Khi At Mercurymentioning

confidence: 99%

Dawn–dusk asymmetry in the Kelvin–Helmholtz instability at Mercury

Paral

Rankin

2013

Nat Commun

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The NASA MErcury Surface, Space ENvironment, GEochemistry and Ranging (MESSENGER) spacecraft entered orbital phase around Mercury on 18 March 2011. A surprising consistent feature in the data returned is large-scale vortices that form exclusively on the dusk side of the magnetosphere. Here we present global kinetic hybrid simulations that explain these observations. It is shown that vortices are excited by a Kelvin-Helmholtz instability near the subsolar point, which grows convectively along the dusk-side magnetopause. Virtual time series along a track approximating a flyby of the MESSENGER show correspondence with the satellite data; the data contain sawtooth oscillations in plasma density, flow and magnetic field, and exhibit the observed dawn-dusk asymmetry. It is shown that asymmetry between dawn and dusk at Mercury is controlled by the finite gyroradius of ions and by convection electric fields. Mercury's magnetosphere offers a natural laboratory for studying plasma regimes not present in other planetary magnetospheres or the laboratory.

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“…We use a two-dimensional hybrid PIC code (Matthews 1994), describing ions as particles and electrons as a massless charge neutralizing fluid. We initialize the system with a Harris equilibrium model (Harris 1962) for the magnetic field:…”

Section: Numerical Setupmentioning

confidence: 99%

Proton Temperature Anisotropy and Magnetic Reconnection in the Solar Wind: Effects of Kinetic Instabilities on Current Sheet Stability

Matteini

Landi

Velli

et al. 2013

ApJ

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We investigate the role of kinetic instabilities driven by a proton anisotropy on the onset of magnetic reconnection by means of two-dimensional hybrid simulations. The collisionless tearing of a current sheet is studied in the presence of a proton temperature anisotropy in the surrounding plasma. Our results confirm that anisotropic protons within the current sheet region can significantly enhance/stabilize the tearing instability of the current. Moreover, fluctuations associated with linear instabilities excited by large proton temperature anisotropies can significantly influence the stability of the plasma and perturb the current sheets, triggering the tearing instability. We find that such a complex coupling leads to a faster tearing evolution in the T ⊥ > T regime when an ion-cyclotron instability is generated by the anisotropic proton distribution functions. On the contrary, in the presence of the opposite anisotropy, fire-hose fluctuations excited by the unstable background protons with T < T ⊥ are not able to efficiently destabilize current sheets, which remain stable for a long time after fire-hose saturation. We discuss possible influences of this novel coupling on the solar wind and heliospheric plasma dynamics.

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Current Advance Method and Cyclic Leapfrog for 2D Multispecies Hybrid Plasma Simulations

Cited by 235 publications

References 3 publications

Ion Acceleration at the Quasi-Parallel Bow Shock: Decoding the Signature of Injection

Ion Acceleration at the Quasi-Parallel Bow Shock: Decoding the Signature of Injection

Dawn–dusk asymmetry in the Kelvin–Helmholtz instability at Mercury

Proton Temperature Anisotropy and Magnetic Reconnection in the Solar Wind: Effects of Kinetic Instabilities on Current Sheet Stability

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