Correlation effects and their influence on line broadening in plasmas: Application to Hα

Stambulchik, E.; Fisher, D.; Maron, Y.; Griem, Hans R.; Alexiou, S.

doi:10.1016/j.hedp.2007.02.021

Cited by 30 publications

(56 citation statements)

References 27 publications

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“…Here, g(ω, ω f i ) is the spectral line profile and could be obtained, for instance, as a result of a molecular dynamics (MD) simulations [20][21][22] or as a result of theoretical modeling and spectral line data [23][24][25][26][27]. The lineshape is normalized to unity area, e.g.,…”

Section: The Calculated Quantitiesmentioning

confidence: 99%

“…The second one is to use a theoretical model for spectral line broadening and try to deconvolve level broadening values, and the final step should be the usage of the MD code [20][21][22]. A candidate for the coupling of the MD code is LAMMPS, which is capable of simulating a large scale molecular dynamics simulations, and it also could include particular interaction potential as well as all relevant processes of interest not included in the initial code as an additional module.…”

Section: The Calculated Quantitiesmentioning

confidence: 99%

“…A candidate for the coupling of the MD code is LAMMPS, which is capable of simulating a large scale molecular dynamics simulations, and it also could include particular interaction potential as well as all relevant processes of interest not included in the initial code as an additional module. The broadening parameters could be calculated from average energy and particle distributions and their temporal distributions, or, as an iterative procedure, a more real plasma potential could be obtained [20,21,28,29]. In the former case, the solutions would not necessary to be described as a set of analytical functions.…”

Section: The Calculated Quantitiesmentioning

confidence: 99%

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The Application of the Cut-Off Coulomb Model Potential for the Calculation of Bound-Bound State Transitions

Sakan

Srećković

Simić

et al. 2018

Atoms

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Abstract:In this contribution, we present results of bound state transition modeling using the cut-off Coulomb model potential. The cut-off Coulomb potential has proven itself as a model potential for the dense hydrogen plasma. The main aim of our investigation include further steps of improvement of the usage of model potential. The results deal with partially ionized dense hydrogen plasma. The presented results covers N e = 6.5 × 10 18 cm −3 , T = 18, 000 K and N e = 1.5 × 10 19 cm −3 , T = 23, 000 K, where the comparison with the experimental data should take place, and the theoretical values for comparison. Since the model was successfully applied on continuous photoabsorption of dense hydrogen plasma in the broad area of temperatures and densities, it is expected to combine both continuous and bound-bound photoabsorption within single quantum mechanical model with the same success.

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Section: The Calculated Quantitiesmentioning

confidence: 99%

Section: The Calculated Quantitiesmentioning

confidence: 99%

Section: The Calculated Quantitiesmentioning

confidence: 99%

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The Application of the Cut-Off Coulomb Model Potential for the Calculation of Bound-Bound State Transitions

Sakan

Srećković

Simić

et al. 2018

Atoms

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“…In our earlier study, we found that the functions A C (t) in carbon plasmas are nearly constant at times near the upper end of a range of averaging intervals for which the corresponding distributions P C (β tot ) exhibit τ -plateau behavior. For an autocorrelation function, such a plateau feature somewhere within [t e , t ion ] also is indicative of stable electron charge density about the ions [7,35]. To check whether plateaus exist for autocorrelation functions of the fields experienced by high-Z impurities, we determined A ν (t) for several mixtures and plot some of these results in Fig.…”

Section: B the τ -Plateau Of Microfield Autocorrelation Functionsmentioning

confidence: 99%

Microfield dynamics in dense hydrogen plasmas with high-Zimpurities

Hau‐Riege

Weisheit

2017

Phys. Rev. E

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We use large-scale classical molecular dynamics to determine microfield properties for several dense plasma mixtures. By employing quantum statistical potentials (QSPs) to regularize the Coulomb interaction, our simulations follow motions of electrons as well as ions for times long enough to track relaxation phenomena involving both types of particles. Coulomb coupling, relative to temperature, of different pairs of species in the hot, dense matter being simulated ranges from weak to strong. We first study the effect of such coupling differences, along with composition and QSP differences, on the roles of electrons and various mixture components in determining probability distributions of instantaneous, total microfields experienced by the ions. Then, we address two important dynamical questions: (1) how is the quasi-static part of the total field to be extracted from the timedependent simulation data; and, (2) under what conditions does the commonly used approximation of ions with fixed Yukawa-like screening by free electrons accurately describe quasi-static fields? We identify a running, short-time average of the total field at each ion as its slowly evolving, quasi-static part. We consider several ways to specify the averaging interval, and note the influence of ion dynamics in this issue. When all species are weakly coupled, the quasi-static fields have probability distributions agreeing well with those we obtain from simulations of Yukawa-screened ions. However, agreement deteriorates as the coupling between high-Z ions increases well beyond unity, principally because the Yukawa model tends to underestimate the true screening of close high-Z pairs. Examples of this fact are given, and some consequences for the high-field portions of probability distributions are discussed.

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“…To interpret (10), substitute this approximation into (8) to get the Markovian linear kinetic equation for b(x, t)…”

Section: Correlation Functions and Markovian Approximationmentioning

confidence: 99%

Kinetic theory for electron dynamics near a positive ion

Wrighton¹,

Dufty²

2008

J. Stat. Mech.

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A theoretical description of time correlation functions for electron properties in the presence of a positive ion of charge number Z is given. The simplest case of an electron gas distorted by a single ion is considered. A semi-classical representation with a regularized electron -ion potential is used to obtain a linear kinetic theory that is asymptotically exact at short times. This Markovian approximation includes all initial (equilibrium) electron -electron and electron -ion correlations through renormalized pair potentials. The kinetic theory is solved in terms of single particle trajectories of the electron -ion potential and a dielectric function for the inhomogeneous electron gas. The results are illustrated by a calculation of the autocorrelation function for the electron field at the ion. The dependence on charge number Z is shown to be dominated by the bound states of the effective electron -ion potential. On this basis, a very simple practical representation of the trajectories is proposed and shown to be accurate over a wide range including strong electron -ion coupling. This simple representation is then used for a brief analysis of the dielectric function for the inhomogeneous electron gas.

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Correlation effects and their influence on line broadening in plasmas: Application to Hα

Cited by 30 publications

References 27 publications

The Application of the Cut-Off Coulomb Model Potential for the Calculation of Bound-Bound State Transitions

The Application of the Cut-Off Coulomb Model Potential for the Calculation of Bound-Bound State Transitions

Microfield dynamics in dense hydrogen plasmas with high-Zimpurities

Kinetic theory for electron dynamics near a positive ion

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