Particle in cell simulation of relativistic Buneman instability in a current-carrying plasma

Hashemzadeh, M.; Niknam, A. R.; Komaizi, D.

doi:10.1080/17455030.2013.835083

Cited by 5 publications

(3 citation statements)

References 16 publications

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“…Since the pioneer work of Oscar Buneman 11,12 ; a lot of work has been done to understand linear and nonlinear evolution of Buneman instability in the non-relativistic 13,[23][24][25][26][27][28][29][30][31][32][33][34][35][36] and relativistic 18,19,[37][38][39] regime. Various approaches are attempted by several authors [23][24][25] to estimate the saturation value of the Buneman instability; among them Hirose's 25 model successfully predicted that at the quasilinear saturation (or first saturation) the ratio of electrostatic energy density ( k |E k | 2 /8π) to initial kinetic energy density (W 0 = (1/2)n 0 mv 2 0 ) varies with electron to ion mass ratio as ∼ (m/M ) 1/3 .…”

Section: Introductionmentioning

confidence: 99%

Particle-in-cell simulation of Buneman instability beyond quasilinear saturation

Rajawat

Sengupta

2017

Physics of Plasmas

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Spatio-temporal evolution of Buneman instability has been followed numerically till its quasilinear quenching and beyond, using an in-house developed electrostatic 1Dand for a wide range of electron to ion mass ratios (m/M), growth rate obtained from simulation agrees well with the numerical solution of the fourth order dispersion relation. Quasi-linear saturation of Buneman instability occurs when ratio of electrostatic field energy density () reaches up to a constant value, which as predicted by Hirose [Plasma Physics 20, 481(1978)], is independent of initial electron drift velocity but depends on electron to ion mass ratio m/M as. This result stands verified in our simulations. Growth of the instability beyond the first saturation (quasilinear saturation ) till its final saturation [Ishihara et. al., PRL 44, 1404(1980] follows an algebraic scaling with time. In contrast to the quasilinear saturation, the ratio of final saturated electrostatic field energy density to initial kinetic energy density, is relatively independent of electron to ion mass ratio and is found to depend only on the initial drift velocity. Beyond the final saturation, electron phase space holes coupled to large amplitude ion solitary waves, a state known as coupled hole-soliton , are seen in our simulations. The propagation characteristics ( amplitude -speed relation ) of these coherent modes is found to be consistent with

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Section: Introductionmentioning

confidence: 99%

Particle-in-cell simulation of Buneman instability beyond quasilinear saturation

Rajawat

Sengupta

2017

Physics of Plasmas

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“…Haas [39] et al has investigated quantum relativistic Buneman instability using a Klein-Gordon model for the electrons and cold ions. Recently Hashemzadeh et al [40] have carried out 1-D particle-in-cell simulation of relativistic Buneman instability in a current carrying plasma. Their simulations show that with increase in initial electron drift velocity the growth rate of Buneman instability decreases.…”

Section: Introductionmentioning

confidence: 99%

One dimensional PIC simulation of relativistic Buneman instability

Rajawat

Sengupta

2016

Physics of Plasmas

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Spatio-temporal evolution of the relativistic Buneman instability has been investigated in one dimension using an in-house developed particle-in-cell simulation code. Starting from the excitation of the instability, its evolution has been followed numerically till its quenching and beyond. As compared to the well understood non-relativistic case, it is found that the maximum growth rate (γ max ) reduces due to relativistic effects and varies with γ e0 and m/M as γ max ∼where γ e0 is Lorentz factor associated with the initial electron drift velocity (v 0 ) and (m/M) is the electron to ion mass ratio. Further it is observed that in contrast to the non-relativistic results [Hirose,Plasma Phys. 20, 481(1978)] at the saturation point, ratio of electrostatic field energy density ( k |E k | 2 /8π) to initial drift kinetic energy density (W 0 ) scales with γ e0 as ∼ 1/γ 2 e0 .These simulation results are found to be in good agreement with that derived using fluid theory. * rupendra@ipr.res.in 1 arXiv:1606.03178v1 [physics.plasm-ph]

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“…Using particle in cell simulation, Niknam et al [25] have found that the electron density profile has sharp peaks at saturation time and the amplitude of the peaks changes with time. Considering the relativistic effects, Hashemzadeh et al [26] have indicated that the steepening of electron density is strongly depends on the electron velocity and saturation time.…”

Section: Introductionmentioning

confidence: 99%

Investigation of plasma density gratings in current carrying plasmas by particle in cell method

Hashemzadeh¹

2015

Plasma Phys. Control. Fusion

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Plasma density gratings induced in current carrying plasmas are investigated through the particle in cell method. Simulation results show that the electron phase space holes can be formed at the saturation time which confirms the counter-streaming in these plasmas. It is found that the generation of grating-like pattern strongly depends on the saturation time and velocity of electrons and positrons. Moreover, in the presence of delta distribution function the grating-like pattern is obvious, compared to the Maxwellian distribution. Finally, using the fluid model, it is demonstrated that increasing the velocity of electrons and positrons causes to increase the maximum amount of growth rate of instability which is in good agreement with those obtained using the simulation model.

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Particle in cell simulation of relativistic Buneman instability in a current-carrying plasma

Cited by 5 publications

References 16 publications

Particle-in-cell simulation of Buneman instability beyond quasilinear saturation

Particle-in-cell simulation of Buneman instability beyond quasilinear saturation

One dimensional PIC simulation of relativistic Buneman instability

Investigation of plasma density gratings in current carrying plasmas by particle in cell method

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