Self-similar neutral-plasma isothermal expansion into a vacuum

Yongsheng, Huang; Bi, Yuanjie; Duan, Xiongying; Xiaofei, Lan; Naiyan, Wang; Tang, Xianqiang; He, Yonghong

doi:10.1063/1.2837455

Cited by 18 publications

(16 citation statements)

References 9 publications

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“…3,5,8,9 We presented linear analytical results for the density, ion flux, and average ion velocity. More generally, the linearized version of Eq.…”

Section: Linearized Modelmentioning

confidence: 99%

“…A special limiting case is where plasma expands into vacuum. [1][2][3] The problem is interesting also for practical reasons: analytical and numerical studies often assume an initial condition to be given, while many laboratory experimental conditions assume some given boundary conditions. A comparison between analytical and experimental results is not always simple in such cases.…”

Section: Introductionmentioning

confidence: 99%

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Self-similar space-time evolution of an initial density discontinuity

2013

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The space-time evolution of an initial step-like plasma density variation is studied. We give particular attention to formulate the problem in a way that opens for the possibility of realizing the conditions experimentally. After a short transient time interval of the order of the electron plasma period, the solution is self-similar as illustrated by a video where the space-time evolution is reduced to be a function of the ratio x/t. Solutions of this form are usually found for problems without characteristic length and time scales, in our case the quasi-neutral limit. By introducing ion collisions with neutrals into the numerical analysis, we introduce a length scale, the collisional mean free path. We study the breakdown of the self-similarity of the solution as the mean free path is made shorter than the system length. Analytical results are presented for charge exchange collisions, demonstrating a short time collisionless evolution with an ensuing long time diffusive relaxation of the initial perturbation. For large times, we find a diffusion equation as the limiting analytical form for a charge-exchange collisional plasma, with a diffusion coefficient defined as the square of the ion sound speed divided by the (constant) ion collision frequency. The ion-neutral collision frequency acts as a parameter that allows a collisionless result to be obtained in one limit, while the solution of a diffusion equation is recovered in the opposite limit of large collision frequencies. V C 2013 AIP Publishing LLC. [http://dx.

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“…3,5,8,9 We presented linear analytical results for the density, ion flux, and average ion velocity. More generally, the linearized version of Eq.…”

Section: Linearized Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Self-similar space-time evolution of an initial density discontinuity

2013

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“…Plasma expansion into vacuum is a basic physical problem with a variety of applications, ranging from space to laboratory scales (Itina et al 2002;Leubner 2004;Hau and Fu 2007;Huang et al 2008). Caused generally by electron pressure, it serves as an energy transfer mechanism from electrons to ions.…”

Section: Introductionmentioning

confidence: 99%

Cairns-Gurevich equation for soliton in plasma expansion into vacuum

2015

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Plasma expansion and soliton formation in laser created plasma are addressed. Nonlinear acoustic waves in plasma where the combined effect of trapped and non-thermal electrons are dealt with, in plasma expansion are studied. Using the perturbation method, a modified Korteweg–de Vries equation (mKdV) that describes how the ion acoustic waves (IAW) are derived. The plasma is modeled by a Cairns distribution function for non-thermal electrons combined with Gurevich distribution function for the trapped electrons. It is found that parameters taken into account have significant effects on the properties of nonlinear waves as well as on plasma expansion into vacuum. We point out, that this work has been motivated by space and laboratory plasma observations of plasmas containing energetic particles, combined with trapped particles. Furthermore, this study is of interest in the context of the investigation of mono-energetic ion beams from intense laser interactions with plasmas.

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“…The theory of plasma expansions is not only the fundamental mechanism of laser ablation but also the laser-ion acceleration. Although various theory such as phase explosion [4], Coulomb explosion [5], self-similar plasma expansions [6,7], two-dimension self-similar plasma expansions [8], and a relativistic model [9] have been proposed, the observed angular-ion distributions such as ring structure [10],…”

mentioning

confidence: 99%

“…time-resolved elliptic shadowgraphs of material ejection [1] and coronal hydrodynamics of laserproduced plasma [2] have not been explained analytically. The problems are that: the electrons generated in the laser-solid interactions are anisotropic generally, however the self-similar expansion [6,7] and the relativistic model are both one-dimension, the two-dimension theory is only valid for a plasma with isotropic pressure, therefore, they can not predict the shapes of plasma front with anisotropic pressure.…”

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confidence: 99%

Two-dimension plasma expansions with anisotropic pressure

Huang,

Bi,

Duan

et al. 2008

Preprint

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A two-dimension self-similar solution is proposed for a plasma expansion with anisotropic pressure.With the solution, it depends on the relationship between the ratio of the longitudinal and the transverse temperature of the plasma, κ 2 and the electron-ion mass ratio, µ, that the plasma front is composed by a part of hyperbolic (or a plane) and a small pointed projection at the center or a part of an ellipse. Zhang and coworkers's experiments (PRL, 99, 167602 (2007))support our results for κ 2 ∈ (τ, 1]. For κ 2 ≤ τ, there is an anomalous high-energy plasma emission at the angle of near 90 o due to longitudinal Coulomb explosion.

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Self-similar neutral-plasma isothermal expansion into a vacuum

Cited by 18 publications

References 9 publications

Self-similar space-time evolution of an initial density discontinuity

Self-similar space-time evolution of an initial density discontinuity

Cairns-Gurevich equation for soliton in plasma expansion into vacuum

Two-dimension plasma expansions with anisotropic pressure

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