An analytical plasma screening potential based on the self-consistent-field ion-sphere model

Li, X.; Rosmej, F. B.; Lisitsa, V. S.; Astapenko, V. A.

doi:10.1063/1.5055689

Cited by 41 publications

(20 citation statements)

References 33 publications

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“…To describe this IPD effect, two distinct models have been available, Ecker-Kröll (EK) [23] and Stewart-Pyatt (SP) [24], both of which are based on thermal equilibrium. Recent experiments using an XFEL [12,25] and a high-power optical laser [26,27] have triggered a controversial debate on the validity of these models, which has been followed by extensive studies on the IPD measurements [28][29][30][31][32][33] and the theoretical treatments of the IPD effect [34][35][36][37][38][39][40][41][42][43], including ab initio electronic structure calculations [44][45][46][47][48][49]. It is worthwhile to note that all of the employed methods are based on the LTE condition for the electronic subsystem.…”

Section: Introductionmentioning

confidence: 99%

Transient ionization potential depression in nonthermal dense plasmas at high x-ray intensity

et al. 2021

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The advent of x-ray free-electron lasers (XFELs), which provide intense ultrashort x-ray pulses, has brought a new way of creating and analyzing hot and warm dense plasmas in the laboratory. Because of the ultrashort pulse duration, the XFEL-produced plasma will be out of equilibrium at the beginning, and even the electronic subsystem may not reach thermal equilibrium while interacting with a femtosecond timescale pulse. In the dense plasma, the ionization potential depression (IPD) induced by the plasma environment plays a crucial role for understanding and modeling microscopic dynamical processes. However, all theoretical approaches for IPD have been based on local thermal equilibrium (LTE), and it has been controversial to use LTE IPD models for the nonthermal situation. In this work, we propose a non-LTE (NLTE) approach to calculate the IPD effect by combining a quantum-mechanical electronic-structure calculation and a classical molecular dynamics simulation. This hybrid approach enables us to investigate the time evolution of ionization potentials and IPDs during and after the interaction with XFEL pulses, without the limitation of the LTE assumption. In our NLTE approach, the transient IPD values are presented as distributions evolving with time, which cannot be captured by conventional LTE-based models. The time-integrated ionization potential values are in good agreement with benchmark experimental data on solid-density aluminum plasma and other theoretical predictions based on LTE. The present work is promising to provide critical insights into nonequilibrium dynamics of dense plasma formation and thermalization induced by XFEL pulses.

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Section: Introductionmentioning

confidence: 99%

Transient ionization potential depression in nonthermal dense plasmas at high x-ray intensity

et al. 2021

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“…In addition, the free electron density just offsets the ion density beyond the radius (R 0 = 3N f =4πχ e ½ 1=3 ) of the IS. In the light of the derivations of Li et al [31], the analytical screening potential, based on the IS theory, is given by…”

Section: The Ap Within the General Framework Of The Is Theorymentioning

confidence: 99%

“…Consequently, to maintain predictive power, a prescription which can accurately calculate the spectral properties of highly stripped ions in dense plasmas in a simple way, would be desirable. Fortunately, very recently, a new contribution called an analytical parametric formula for the dense plasma screening potential based on the IS model was introduced in Li et al [31] and it shows good agreement with self-consistent quantum mechanical calculations. This potential makes it possible to replace the complex finite-temperature IS model during the atomic structure calculations.…”

Section: Introductionmentioning

confidence: 98%

“…Toward this end, we propose four kinds of novel theoretical models, namely, (1) The electron photon processes in plasma (EPPP) model [32] based on the FAC [33]; (2) The multiconfiguration Dirac-Fock (MCDF) model [34], implemented in GRASP2K code [35]; (3) The generalized pseudospectral method (GPSM) within the relativistic framework [36][37][38]; and (4) An analytic formula based on the Hartree-Fock method and the irreducible tensor theory. The analytical potential (AP) [31], derived recently, is employed to describe the interactions among the charged particles. This simple and physically transparent dense plasma screening potential formula allows to consider finite temperature and density effects as well as solid density plasma effects (b4-potential) that are consistent with the applications to inertial fusion, where the finite temperature is an essential feature.…”

Section: Introductionmentioning

confidence: 99%

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Development of various methods to the investigation of the spectral properties and collision dynamics of H‐like ions taking place in dense and hot plasma environments

Chen

Liu

Sun

et al. 2021

Int J of Quantum Chemistry

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The correct understanding of the behavior of highly stripped ions immersed in a dense plasma environment is a hitherto challenge for theory and it is of importance in various applications. Here, we developed four kinds of novel theoretical models to the determination of the spectral properties and collision dynamics of H-like ions in dense and hot plasmas by employing the analytical potential [Li et al., Phys. Plasmas 2019, 26, 033301] to describe the interactions among the charged particles: (i) The electron photon processes in plasma model within the relativistic scheme; (ii) The multiconfiguration Dirac-Fock model within the framework of relativistic self-consistent iteration approximation; (iii) The generalized pseudospectral method within the relativistic framework; and (iv) An analytic formula based on the Hartree-Fock method and the irreducible tensor theory within the non-relativistic regime, derived from a solution of Schrödinger equation. As a typical example, energy eigenvalues, radiative transition properties, spectral line shifts, and electron impact excitation and ionization cross sections of the selected N 6+ and Ne 9+ ions are determined for several temperature-density cases, characteristic of inertial confinement fusion plasmas. A comparison of these results with each other and the results from earlier calculations as well as with the available experimental data is provided. Systematic trend is determined for all the Zhan-Bin Chen and Peng-Fei Liu contributed equally to this study.

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Section: Introductionmentioning

confidence: 99%

Transient ionization potential depression in nonthermal dense plasmas at high x-ray intensity

Jin,

Abdullah,

Jurek

et al. 2021

Preprint

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The advent of x-ray free-electron lasers (XFELs), which provide intense ultrashort x-ray pulses, has brought a new way of creating and analyzing hot and warm dense plasmas in the laboratory. Because of the ultrashort pulse duration, the XFEL-produced plasma will be out of equilibrium at the beginning and even the electronic subsystem may not reach thermal equilibrium while interacting with a femtosecond time-scale pulse. In the dense plasma, the ionization potential depression (IPD) induced by the plasma environment plays a crucial role for understanding and modeling microscopic dynamical processes. However, all theoretical approaches for IPD have been based on local thermal equilibrium (LTE) and it has been controversial to use LTE IPD models for the nonthermal situation. In this work, we propose a non-LTE (NLTE) approach to calculate the IPD effect by combining a quantum-mechanical electronicstructure calculation and a classical molecular dynamics simulation. This hybrid approach enables us to investigate the time evolution of ionization potentials and IPDs during and after the interaction with XFEL pulses, without the limitation of the LTE assumption. In our NLTE approach, the transient IPD values are presented as distributions evolving with time, which cannot be captured by conventional LTE-based models. The time-integrated ionization potential values are in good agreement with benchmark experimental data on solid-density aluminum plasma and other theoretical predictions based on LTE. The present work is promising to provide critical insights into nonequilibrium dynamics of dense plasma formation and thermalization induced by XFEL pulses.

show abstract

An analytical plasma screening potential based on the self-consistent-field ion-sphere model

Cited by 41 publications

References 33 publications

Transient ionization potential depression in nonthermal dense plasmas at high x-ray intensity

Transient ionization potential depression in nonthermal dense plasmas at high x-ray intensity

Development of various methods to the investigation of the spectral properties and collision dynamics of H‐like ions taking place in dense and hot plasma environments

Transient ionization potential depression in nonthermal dense plasmas at high x-ray intensity

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