Application of Particle-in-Cell Simulation to the Description of Ion Acoustic Solitary Waves

Qi, Xin; Xu, Yan; Zhao, Xiqian; Zhang, Lingyu; Duan, Wen-Shan; Yang, Lei

doi:10.1109/tps.2015.2477102

Cited by 12 publications

(9 citation statements)

References 52 publications

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“…Relative agreement was reported between simulation results and the solutions obtained via Sagdeev's method. The existence of an upper limit for the amplitude of IASWs has been reported using a PIC code 30 . However, they all have carried out their studies ignoring the trapping process and treated electrons as isothermal background (Boltzmann's distribution is used for electrons).…”

Section: Introductionmentioning

confidence: 99%

Study of trapping effect on ion-acoustic solitary waves based on a fully kinetic simulation approach

Jenab

Spanier

2016

Physics of Plasmas

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A fully kinetic simulation approach, treating each plasma component based on the Vlasov equation, is adopted to study the disintegration of an initial density perturbation (IDP) into a number of ion-acoustic solitary waves (IASWs) in the presence of the trapping effect of electrons. The nonlinear fluid theory developed by Schamel 31-35 has identified three separate regimes of ion-acoustic solitary waves based on the trapping parameter. Here, the disintegration process and the resulting self-consistent IASWs are studied in a wide range of trapping parameters covering all the three regimes continuously. The dependency of features such as the time of disintegration, the number, speed and size of IASWs on the trapping parameter are focused upon. It is shown that an increase in this parameter slows down the propagation of IASWs while decreases their sizes in the phase space. These features of IASWs tend to saturate for large value of trapping parameters. The disintegration time shows a more complicated behavior than what was predicted by the theoretical approach. Also for the case of trapping parameters bigger than one, propagation of IASWs is observed in contrast with the theoretical predictions. The kinetic simulation results unveil a smooth and well-defined dependency of solitary waves' features on the trapping parameter, showing the possibility of bridging all the three regimes. Finally, it is shown that for β around zero, the electron phase space structure of the accompanying vortex stays symmetric. The effect of the electron-to-ion temperature ratio on the disintegration and the propagation of IASWs are considered as a benchmarking test of the simulation code (in the nonlinear regime).

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Section: Introductionmentioning

confidence: 99%

Study of trapping effect on ion-acoustic solitary waves based on a fully kinetic simulation approach

Jenab

Spanier

2016

Physics of Plasmas

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“…Of particular interest is the interaction (collision) of IASWs with each other. The investigations were carried out both theoretically and experimentally in two-component electron-ion plasmas [1][2][3][4][5][6][7][8][9] and in multicomponent plasmas, which, in addition to positive ions and electrons, contain other components, such as negative ions, positrons or dust particles [10][11][12][13][14][15][16][17]. Analytical and numerical fluid models and kinetic approaches were used.…”

Section: Introductionmentioning

confidence: 99%

“…A very effective method for studying IASWs is the particle-in-cell (PIC) simulation. Using this method, the propagation of IASWs in a plasma with cold ions and hot electrons, distributed according to the Boltzmann law, was investigated in [3][4][5]. The results obtained in the simulations are compared with the analytical solutions, and the scope of applicability of the latter is discussed.…”

Section: Introductionmentioning

confidence: 99%

“…A considerable number of papers were devoted to the study of plasmas with non-Maxwellian particle distributions [3,6,12,[16][17][18][19][20]22]. Analytical [3,6,[12][13][14][15][16][17][18][19][20][21][22] and numerical [2,4,5,7,8,23] methods were used to investigate solitary waves. Experiments with collisions of solitary waves were described in [1,[9][10][11].In most papers, the studies of collisions of solitary waves were performed for the case of not very large amplitudes and were aimed at determining the main results of the collision: the phase shifts and the trajectories of solitary waves after the collision.…”

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confidence: 99%

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Particle-in-cell simulation of the head-on collision of large amplitude ion-acoustic solitary waves in a collisionless plasma

Medvedev

2018

J. Phys. Commun.

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The head-on collision of ion-acoustic solitary waves in a collisionless plasma with cold ions and Boltzmann electrons is studied using the particle-in-cell (PIC) simulation. It is shown that solitary waves of sufficiently large amplitudes do not retain their identity after a collision. Their amplitudes decrease and their forms change. In the collision of solitary waves, accelerated ions are formed. The ion velocities can reach three speeds of sound. Dependences of amplitudes of the potential and densities of ions and electrons after a head-on collision of identical solitary waves on their initial amplitude are presented.

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“…However, their results are limited since trapping effect can't be comprehensively considered by fluid models specially in case of large-amplitude solitons 8 . Moreover, Particlein-cell (PIC) simulation methods suffer from their inherit noise level and can't provide a clear view of the kinetic-level interactions 8,17 .…”

Section: Introductionmentioning

confidence: 99%

Simulation study of overtaking of ion-acoustic solitons in the fully kinetic regime

Jenab

Spanier

2017

Physics of Plasmas

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The overtaking collisions of ion-acoustic solitons (IASs) in presence of trapping effects of electrons are studied based on a fully kinetic simulation approach. The method is able to provide all the kinetic details of the process alongside the fluid-level quantities self consistently. Solitons are produced naturally by utilizing the chain formation phenomenon, then are arranged in a new simulation box to test different scenarios of overtaking collisions. Three achievements are reported here. Firstly, simulations prove the long-time life span of the ion-acoustic solitons in the presence of trapping effect of electrons (kinetic effects), which serves as the benchmark of the simulation code. Secondly, their stability against overtaking mutual collisions is established by creating collisions between solitons with different number and shapes of trapped electrons, i.e. different trapping parameter. Finally, details of solitons during collisions for both ions and electrons are provided on both fluid and kinetic levels. These results show that on the kinetic level, trapped electron population accompanying each of the solitons are exchanged between the solitons during the collision. Furthermore, the behavior of electron holes accompanying solitons contradicts the theory about the electron holes interaction developed based on kinetic theory. They also show behaviors much different from other electron holes witnessed in processes such as nonlinear Landau damping (Bernstein-Greene-Kruskal -BGKmodes) or beam-plasma interaction (like two-beam instability).

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Application of Particle-in-Cell Simulation to the Description of Ion Acoustic Solitary Waves

Cited by 12 publications

References 52 publications

Study of trapping effect on ion-acoustic solitary waves based on a fully kinetic simulation approach

Study of trapping effect on ion-acoustic solitary waves based on a fully kinetic simulation approach

Particle-in-cell simulation of the head-on collision of large amplitude ion-acoustic solitary waves in a collisionless plasma

Simulation study of overtaking of ion-acoustic solitons in the fully kinetic regime

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