Radiative properties of matter based on quantum statistical method

Kouser, Rukhsana; Tasneem, G.; Shahzad, M. Saleem; Sardar, Shahid; Ali, Amjad; Nasim, M. H.; Salahuddin, M.

doi:10.1088/1674-1056/26/7/075201

Cited by 3 publications

(4 citation statements)

References 50 publications

(77 reference statements)

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“…(3)), but now the bound states (those whose energy is below the threshold 0 ) are excluded from ρ f . At this point, the present implementation differs from the one recently proposed by Kouser et al [19], which employ a constant free electron density, equal to the electron density at the atomic shell boundary.…”

Section: Average Atom Modelmentioning

confidence: 83%

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An Implementation of the Average Atom Model using the Thermodynamic Consistency Condition: Application to Ar

Lanzini

Rocco

2018

Acta Phys. Pol. A

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We present a computational implementation of the average atom model for the calculation of matter properties under different conditions of density and temperature. Different issues related to the practical implementation, particularly those concerning the choice of an energy value acting as a boundary between free and bound electron states are discussed. As a test case, the ionization degree, electron density, and contributions to the potential V (r) are computed for Ar at temperatures ranging from a few eV to some keV, and ionic densities between 1 × 10 19 cm −3 and 1 × 10 23 cm −3. Results of the model are compared with those obtained by means of the Thomas-Fermi model and by other analytical approaches.

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Section: Average Atom Modelmentioning

confidence: 83%

“…(6)- (17). The number of free electrons Z f can be obtained by integration of the free electron density, (11): (19) or, alternatively, because of the charge neutrality condition, Eq. 13,…”

Section: Free Chargesmentioning

confidence: 99%

An Implementation of the Average Atom Model using the Thermodynamic Consistency Condition: Application to Ar

Lanzini

Rocco

2018

Acta Phys. Pol. A

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“…In this section can be found a gross summary of the average atom models evolution according to the progressive treatment of bound and free electrons in the ion-sphere model and according also to the quantum numbers with respect to splitting of the matter structure, of first generation with n-splitting (NOHEL, XSN [8]), of second generation with nl-splitting [10][11][12][13] and of third generation with nlj-splitting (THERMOS, ATMED LTE & CR, OPAQS, …) [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. Highlighting some formulas, it can be noticed the long-term maintained evolution of atomic codes considering the average atom as a statistical item of energy configuration levels (ground state of minimum energy, single excited, doubly excited, autoionizing level, etc.…”

Section: Average Atom Models Evolution and Generationsmentioning

confidence: 99%

Comparison of Iron Plasma Atomic and Radiative Properties Computed with a Relativistic Collisional Radiative Average Atom Code versus Other Models

Benita

2018

AJR2P

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In this paper, it is presented a representative sample of steady state iron plasmas focusing the attention on two issues. First, the huge computation capability extension up to millions of plasmas with the implementation of a collisional radiative balance in the relativistic average atom model ATMED. Second, it will be addressed the good agreement of atomic and radiative properties not only with respect to very recent experimental measurements of laboratories and High Energy Density facilities, but also to the last theoretical developments in quantum mechanics of statistical methods, as new codes based on the self consistent Hartree-Fock-Slater model for the average atom which in turn solve the Schrödinger’s or Dirac’s equations of radial wave functions. The new codes have been validated with some state of the art models as OPAL, SCO-RCG, STA, CASSANDRA, LEDCOP, THERMOS, etc. The results for plasma properties can be considered as relatively precise and optimal, being checked fundamentally the high sensitivity of calculations to changes in regime, local thermodynamic equilibrium (LTE) or non-LTE (NLTE), electronic and radiation temperatures, dilution factor, matter or electronic density and plasma length. The systematic theoretical investigation is carried out through comparison of calculations performed with a wide set of atomic collisional radiative codes with detailed configurations or codes of the average atom formalism. Some transmissions computed with ATMED CR using UTA (Unresolved Transition Array) formalism are also checked with respect to very recent experimental measurements of laboratories.

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“…These versions of AA models are used in different standard codes, e.g., Thomas Fermi model (TF), quantum statistical model (QSM), or quantum self consistent field (QSCF) as referred in Ref. [12] are used in codes THERMOS, CASSANDRA, [13] OPAQS, [14] etc. Another famous class of AA models is based on the finite temperature density functional theory (FTDFT) which is basically an electron density variational model [15,16] based on Khon-Sham equations developed in codes like multi average ion model (Multi-AIM), [17] while AA model based on screening constants, i.e., screened hydrogenic model with l-splitting (SHML) [18,19] for the construction of hydrogenic potential is used in codes like ATMED, [20] SCAALP, [21] etc.…”

Section: Introductionmentioning

confidence: 99%

Ion population fraction calculations using improved screened hydrogenic model withl-splitting

et al. 2018

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Ion population fraction (IPF) calculations are very important to understand the radiative spectrum emitted from the hot dense matter. IPF calculations require detailed knowledge of all the ions and correlation interactions between the electrons of an ion which are present in a plasma environment. The average atom models, e.g., screened hydrogenic model with l-splitting (SHML), now have the capabilities for such calculations and are becoming more popular for in line plasma calculations. In our previous work [Ali A, Shabbir Naz G, Shahzad M S, Kouser R, Rehman A and Nasim M H 2018 High Energy Density Phys. 26 48], we have improved the continuum lowering model and included the exchange and correlation effects in SHML. This study presents the calculation of IPF using classical theory of fluctuation for our improved screened hydrogenic model with l-splitting (I-SHML) under local thermodynamic equilibrium conditions for iron and aluminum plasma over a wide range of densities and temperatures. We have compared our results with other models and have found a very good agreement among them.

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Radiative properties of matter based on quantum statistical method

Cited by 3 publications

References 50 publications

An Implementation of the Average Atom Model using the Thermodynamic Consistency Condition: Application to Ar

An Implementation of the Average Atom Model using the Thermodynamic Consistency Condition: Application to Ar

Comparison of Iron Plasma Atomic and Radiative Properties Computed with a Relativistic Collisional Radiative Average Atom Code versus Other Models

Ion population fraction calculations using improved screened hydrogenic model withl-splitting

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