Modeling of relativistic plasmas with the Particle-In-Cell method

Vay, Jean‐Luc; Godfrey, Brendan B.

doi:10.1016/j.crme.2014.07.006

Cited by 15 publications

(7 citation statements)

References 41 publications

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“…Flaws already encountered in non relativistic plasma simulations are enhanced in relativistic regimes. Vay & Godfrey (2014) recently reviewed about these relativistic PIC methods.…”

Section: Introductionmentioning

confidence: 99%

A fully implicit numerical integration of the relativistic particle equation of motion

Pétri

2017

J. Plasma Phys.

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Relativistic strongly magnetized plasmas are produced in laboratories thanks to stateof-the-art laser technology but can naturally be found around compact objects such as neutron stars and black holes. Detailed studies of the behaviour of relativistic plasmas require accurate computations able to catch the full spatial and temporal dynamics of the system. Numerical simulations of ultra-relativistic plasmas face severe restrictions due to limitations in the maximum possible Lorentz factors that current algorithm can reproduce to good accuracy. In order to circumvent this flaw and repel the limit to γ ≈ 10 9 , we design a new fully implicit scheme to solve the relativistic particle equation of motion in an external electromagnetic field using a three dimensional Cartesian geometry. We show some examples of numerical integrations in constant electromagnetic fields to prove the efficiency of our algorithm. The code is also able to follow the electric drift motion for high Lorentz factors. In the most general case of spatially and temporally varying electromagnetic fields, the code performs extremely well as shown by comparison with exact analytical solutions for the relativistic electrostatic Kepler problem as well as for linearly and circularly polarized plane waves.

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“…Flaws already encountered in non relativistic plasma simulations are enhanced in relativistic regimes. Vay & Godfrey (2014) recently reviewed about these relativistic PIC methods.…”

Section: Introductionmentioning

confidence: 99%

A fully implicit numerical integration of the relativistic particle equation of motion

Pétri

2017

J. Plasma Phys.

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“…Here we applied it to the dielectric function of Bi For the excitation by an electron probe in FDTD simulations, a charge broadening scheme was applied as described elsewhere 54,55 . In our simulations, we have combined Maxwell's equation with the Lorentz equation using the relativistic Vay scheme 56 . Therefore, the propagation of the electron is governed by its relativistic initial velocity and direction, as well as electromagnetic forces inserted on it.…”

Section: Methodsmentioning

confidence: 99%

Interaction of edge exciton polaritons with engineered defects in the hyperbolic material Bi2Se3

et al. 2021

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Hyperbolic materials exhibit unique properties that enable intriguing applications in nanophotonics. The topological insulator Bi2Se3 represents a natural hyperbolic optical medium, both in the THz and visible range. Here, using cathodoluminescence spectroscopy and electron energy-loss spectroscopy, we demonstrate that Bi2Se3 supports room-temperature exciton polaritons and explore the behavior of hyperbolic edge exciton polaritons, which are hybrid modes resulting from the coupling of the polaritons bound to the upper and lower edges of Bi2Se3 nanoplatelets. We compare Fabry-Pérot-like resonances emerging in edge polariton propagation along pristine and artificially structured edges and experimentally demonstrate the possibility to steer edge polaritons by means of grooves and nanocavities. The observed scattering of edge polaritons by defect structures is found to be in good agreement with finite-difference time-domain simulations. Our findings reveal the extraordinary capability of hyperbolic polariton propagation to cope with the presence of defects, providing an excellent basis for applications such as nanooptical circuitry, nanoscale cloaking and nanoscopic quantum technology.

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“…Boxcar filters are usually cascaded with other boxcars in an attempt to reduce the high side-lobes in their frequency response (Roscoe and Blair, 2016). Techniques like low pass filtering are not limited to the time domain; they can be applied to other dimensions like ordinary space and find 105 wide application in fields like image processing (Cook, 1986) and numerical modeling (Vay and Godfrey, 2014).…”

Section: Low Pass Filteringmentioning

confidence: 99%

Spatial filtering in a 6D hybrid-Vlasov scheme for alleviating AMR artifacts: a case study with Vlasiator, versions 5.0, 5.1, 5.2.1

Papadakis

Pfau‐Kempf

Ganse

et al. 2022

Preprint

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Abstract. Numerical simulation models that are used to investigate the near-Earth space plasma environment require sophisticated methods and algorithms together with high computational power. Vlasiator is a hybrid-Vlasov plasma simulation code that, as of recent technological developments, has been able to perform 6D (3D in ordinary space and 3D in velocity space) simulations using Adaptive Mesh Refinement (AMR). In this work we describe a side effect of using AMR in Vlasiator where the heterologous grid approach creates resolution induced discontinuities due to the different grid resolution levels. The discontinuities cause spurious oscillations in the electromagnetic fields that alter the global results. We present and test a spatial filtering operator for alleviating this artifact without significantly increasing the computational overhead. We demonstrate the operator's use case in large 6D AMR simulations and evaluate its performance with different implementations.

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Modeling of relativistic plasmas with the Particle-In-Cell method

Cited by 15 publications

References 41 publications

A fully implicit numerical integration of the relativistic particle equation of motion

A fully implicit numerical integration of the relativistic particle equation of motion

Interaction of edge exciton polaritons with engineered defects in the hyperbolic material Bi2Se3

Spatial filtering in a 6D hybrid-Vlasov scheme for alleviating AMR artifacts: a case study with Vlasiator, versions 5.0, 5.1, 5.2.1

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