Vlasov–Maxwell equilibrium solutions for Harris sheet magnetic field with Kappa velocity distribution

Fu, Wen Zhi; Hau, L.‐N.

doi:10.1063/1.1941047

Cited by 40 publications

(32 citation statements)

References 12 publications

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“…However, it is important to consider rather wide energy range (in case of high temperature to add also energetic particle measurements) when computing currents from ion and electron flows. Since distribution functions with power law energy tails are common in the magnetotail (see also Vasyliunas, 1968;Christon et al, 1989), using CS models with kappa distribution functions (Fu and Hau, 2005;Yoon et al, 2006) might be also of interest in future. In this paper we obtain the ion distribution functions with non-Maxwellian velocity tails with power laws τ ∼−3 to −8 (log 10 f i ∼τ log 10 v y ).…”

Section: Discussionmentioning

confidence: 99%

Thin embedded current sheets: Cluster observations of ion kinetic structure and analytical models

et al. 2009

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Abstract. Kinetic structure of embedded thin horizontal current sheets is investigated. Current density estimated by curlometer technique is in general agreement with a sum of electron and proton currents. Embedding of observed thin current sheets in the much wider plasma sheet is apparent in the current density profiles. Ion velocity distributions consist of two parts: the cold non-drifting core likely belongs to the plasma sheet background, while the hotter asymmetric "wings" carry the main portion of the current. Oxygen ions (if present) and higher-energy tails of distribution function can contribute up to 30% of the total current. We compared current density profiles across sheets with three typical current sheet models. Models which allow embedding, describe observed structures equally well at the level of experimental accuracy.

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Section: Discussionmentioning

confidence: 99%

Thin embedded current sheets: Cluster observations of ion kinetic structure and analytical models

et al. 2009

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“…In summary the physical basis of the function used in our papers 2,3 is well justified as described above and such a profile has been widely adopted in the literatures [3][4][5][6][7][8][9][10] for the study of neutral gas and plasmas with nonthermal distributions. The slightly different forms suggested in the comment 1 could also serve as an option of choice but its constraint lies on the fact that all uniform systems with a family of velocity distributions under consideration exhibit the same macroscopic temperature independent of the kinetic values.…”

Section: ͑6͒mentioning

confidence: 99%

Response to “Comment on ‘Mathematical and physical aspects of Kappa velocity distribution’ ” [Phys. Plasmas 16, 094701 (2009)]

Hau

Chuang

2009

Physics of Plasmas

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The comment questions the formulation of the κ velocity distribution function used in our paper as compared to a slightly different form used by the authors. The difference in the distribution function necessarily leads to different number densities, thermal pressures, etc. We show that the restriction with their distribution function is that the macroscopic temperature (or average kinetic energy) is the same for all spatially uniform systems with a family of κ distributions including the Maxwellian case. The distribution function used in our paper and widely adopted in various studies of nonthermal systems, however, does not impose such a constraint; in particular, the temperature has κ dependence reflecting the kinetic nature of different statistical systems. The points made in the comment are trivial and misleading.

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“…The simplest model is the 1-D kinetic Harris model (Harris et al, 1962), which is an exact solution of Vlasov equation. Recently it was generalized for kappa velocity distribution (Fu and Hau, 2005;Hau and Fu, 2007), ion and electron dominated current sheets (Yoon and Lui, 2004) as well as bifurcated sheets (Camporeale and Lapenta, 2005). Constant plasma drift velocity is common feature of these models, and therefore current density is proportional to plasma density j y (z) ∼n(z).…”

Section: Introductionmentioning

confidence: 99%

Comparison of multi-point measurements of current sheet structure and analytical models

et al. 2008

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Abstract. Current density profiles of 22 thin current sheets, crossed by four Cluster spacecraft in the magnetotail are compared with the self-consistent model of anisotropic 1-D equilibrium, including several species of quasi-adiabatic (transient) ions and drifting electrons. In order to examine ion-scale features of the current density profile Cluster data from the 2001 and 2004 tail seasons were used when the spacecraft separation was about 2000 and 1000 km, respectively, while electron-scale features are studied using Cluster data from the 2003 season , when the spacecraft separation was about 200 km. The model ion and electron current density peaks embedded in a background plasma sheet successfully reproduce observed profiles. Stability criteria of the model current sheet are also consistent with the experiment.

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Vlasov–Maxwell equilibrium solutions for Harris sheet magnetic field with Kappa velocity distribution

Cited by 40 publications

References 12 publications

Thin embedded current sheets: Cluster observations of ion kinetic structure and analytical models

Thin embedded current sheets: Cluster observations of ion kinetic structure and analytical models

Response to “Comment on ‘Mathematical and physical aspects of Kappa velocity distribution’ ” [Phys. Plasmas 16, 094701 (2009)]

Comparison of multi-point measurements of current sheet structure and analytical models

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