Friedel sum rule at finite temperature in hot dense plasmas

被引：15

作者：

Faussurier, Gerald ^{[1
,2
]}

Blancard, Christophe ^{[1
,2
]}

机构：

[1] CEA, DAM, DIF, F-91297 Arpajon, France

[2] Univ Paris Saclay, LMCE, CEA, F-91680 Bruyeres Le Chatel, France

来源：

PHYSICS OF PLASMAS | 2021年 / 28卷 / 04期

关键词：

PRESSURE IONIZATION; PURGATORIO; EQUATION; MODEL; ION;

D O I：

10.1063/5.0022605

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We study the notion of Friedel sum rule at finite temperature in hot dense plasmas. Using the average-atom model, we establish expressions for the Friedel sum rule at zero and finite temperature using non-relativistic or relativistic approaches. Formulas are also given using the Born approximation for the phase shifts. Numerical examples are provided. The Friedel sum rule is a stringent test of the internal consistency of a quantum average-atom model. The question of normalization of free wavefunctions is also discussed.

引用

页数：11

共 39 条

[1]

Abramowitz M., 1972, Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables, V10th

[2]

[Anonymous], 1992, PHYS ATOMS MOL

[3]

[Anonymous], 1992, ATOMIC SPECTRA RAD T

[4] Probing ion-ion and electron-ion correlations in liquid metals within the quantum hypernetted chain approximation [J].

Anta, JA ;

Louis, AA .

PHYSICAL REVIEW B, 2000, 61 (17) :11400-11410

[5] APPROXIMATIONS FOR FERMI-DIRAC INTEGRALS, ESPECIALLY THE FUNCTION F1/2(ETA) USED TO DESCRIBE ELECTRON-DENSITY IN A SEMICONDUCTOR [J].

BLAKEMORE, JS .

SOLID-STATE ELECTRONICS, 1982, 25 (11) :1067-1076

[6] PRESSURE IONIZATION IN THE SPHERICAL ION-CELL MODEL OF DENSE-PLASMAS AND A PRESSURE FORMULA IN THE RELATIVISTIC PAULI APPROXIMATION [J].

BLENSKI, T ;

ISHIKAWA, K .

PHYSICAL REVIEW E, 1995, 51 (05) :4869-4881

[7] DERIVATION OF QUANTAL HYPER-NETTED CHAIN EQUATION FROM KOHN-SHAM THEORY [J].

CHIHARA, J .

PROGRESS OF THEORETICAL PHYSICS, 1978, 59 (01) :76-86

[8] DENSITY-FUNCTIONAL THEORY OF HYDROGEN PLASMAS [J].

DHARMAWARDANA, MWC ;

PERROT, F .

PHYSICAL REVIEW A, 1982, 26 (04) :2096-2104

[9] The UCL distorted wave code [J].

Eissner, W .

COMPUTER PHYSICS COMMUNICATIONS, 1998, 114 (1-3) :295-341

[10] Electrical resistivity calculations in dense plasmas [J].

Faussurier, Gerald ;

Blancard, Christophe .

PHYSICAL REVIEW E, 2019, 100 (03)

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