Time Ordering Effects on Hydrogen Zeeman-Stark Line Profiles in Low-Density Magnetized Plasmas

Rosato, J.; Boland, D.; Difallah, Mosbah; Marandet, Y.; Stamm, R.

doi:10.1155/2010/374372

Cited by 3 publications

(4 citation statements)

References 16 publications

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“…( 1), to describe the function g (ω − ω 0 ). Specifically, take [34] where p (x, µ, σ, ν) is defined by the Eq. ( 1).…”

Section: Intermediatementioning

confidence: 99%

“…We import a set of data of hydrogen Zeeman-Stark line broadening from Figure 2 (b) in Ref. [34] and fit them with the intermediate, Cauchy, and Gaussian distribution, respectively. The data and the fitting results are plotted in Figure 3.…”

Section: Intermediatementioning

confidence: 99%

“…Figure3: The fitting of the experimental line width data with the intermediate, the Gaussian, and the Cauchy distribution. The data are taken from Ref [34]. …”

mentioning

confidence: 99%

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An intermediate distribution between Gaussian and Cauchy distributions

Liu¹,

Zhang²,

Dai³

et al. 2012

Physica A: Statistical Mechanics and its Applications

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In this paper, we construct an intermediate distribution linking the Gaussian and the Cauchy distribution. We provide the probability density function and the corresponding characteristic function of the intermediate distribution. Because many kinds of distributions have no moment, we introduce weighted moments. Specifically, we consider weighted moments under two types of weighted functions: the cut-off function and the exponential function. Through these two types of weighted functions, we can obtain weighted moments for almost all distributions. We consider an application of the probability density function of the intermediate distribution on the spectral line broadening in laser theory. Moreover, we utilize the intermediate distribution to the problem of the stock market return in quantitative finance.Comment: 16 pages, 7 figure

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“…( 1), to describe the function g (ω − ω 0 ). Specifically, take [34] where p (x, µ, σ, ν) is defined by the Eq. ( 1).…”

Section: Intermediatementioning

confidence: 99%

Section: Intermediatementioning

confidence: 99%

See 1 more Smart Citation

An intermediate distribution between Gaussian and Cauchy distributions

Liu¹,

Zhang²,

Dai³

et al. 2012

Physica A: Statistical Mechanics and its Applications

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show abstract

“…Rosato et al (2009) have reexamined the Stark broadening of hydrogen lines in the presence of a magnetic field and developed an impact theory for ions, valid for low electron densities (N e 10 14 cm −3 ), which takes into account the Zeeman splitting of the atomic energy levels. Rosato et al (2010) have also studied numerically the role of time ordering in such plasmas, by using a simulation code that accounts for the evolution of the microscopic electric field generated by the charged particles moving close to the atom. Calisti et al (2010) have developed a very fast method to account for the dynamical effects of charged particles on the spectral line shape emitted by plasmas, based on a formulation of the frequency fluctuation model.…”

Section: Stark Broadeningmentioning

confidence: 99%

Division Xii / Commission 14 / Working Group Collision Processes

Peach¹,

Dimitrijević²

2011

Proc. IAU

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Research in atomic and molecular collision processes and spectral line broadening has been very active since our last report, Peach, Dimitrijević & Stancil 2009. Given the large volume of the published literature and the limited space available, we have attempted to identify work most relevant to astrophysics. Since our report can not be comprehensive, additional publications can be found in the databases at the web addresses listed in the final section. Elastic and inelastic collisions among electrons, atoms, ions, and molecules are included and charge transfer can be very important in collisions between heavy particles.

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Ionization balance of impurities in turbulent scrape-off layer plasmas I: local ionization-recombination equilibrium

Guzmán

Marandet

Tamain

et al. 2015

Plasma Phys. Control. Fusion

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In magnetized fusion devices, cross field impurity transport is often dominated by turbulence, in particular in the scrape-off layer. In these outer regions of the plasma, fluctuations of plasma parameters can be comparable to mean values, and the way ionization and recombination sources are treated in transport codes becomes questionnable. In fact, sources are calculated using the mean density and temperature values, with no account of fluctuations. In this work we investigate the modeling uncertainties introduced by this approximation, both qualitatively and quantitatively for the local ionization equilibrium. As a first step transport effects are neglected, and their role will be discussed in a companion paper. We show that temperature fluctuations shift the ionization balance towards lower temperatures, essentially because of the very steep temperature dependence of the ionization rate coefficients near the threshold. To reach this conclusion, a thorough analysis of the time scales involved is carried out, in order to devise a proper way of averaging over fluctuations. The effects are found to be substantial only for fairly large relative fluctuation levels for temperature, that is of the order of a few tens of percents.

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Time Ordering Effects on Hydrogen Zeeman-Stark Line Profiles in Low-Density Magnetized Plasmas

Cited by 3 publications

References 16 publications

An intermediate distribution between Gaussian and Cauchy distributions

An intermediate distribution between Gaussian and Cauchy distributions

Division Xii / Commission 14 / Working Group Collision Processes

Ionization balance of impurities in turbulent scrape-off layer plasmas I: local ionization-recombination equilibrium

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