Thermodynamic Functions of Dense Plasmas: Analytic Approximations for Astrophysical Applications

被引：187

作者：

Potekhin, A. Y. ^{[1
,2
]}

Chabrier, G. ^{[2
]}

机构：

[1] AF Ioffe Phys Tech Inst, St Petersburg 194021, Russia

[2] Ecole Normale Super Lyon, CRAL, UMR CNRS 5574, F-69364 Lyon 07, France

来源：

CONTRIBUTIONS TO PLASMA PHYSICS | 2010年 / 50卷 / 01期

关键词：

Thermodynamics of plasmas; strongly-coupled plasmas; degenerate stars; ONE-COMPONENT PLASMA; EQUATION-OF-STATE; STATISTICAL-MECHANICS; IONIZED MATTER; EQUILIBRIUM PROPERTIES; INTERNAL ENERGY; WIGNER CRYSTAL; ELECTRON-GAS; TEMPERATURE;

D O I：

10.1002/ctpp.201010017

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 briefly review analytic approximations of thermodynamic functions of fully ionized nonideal electron-ion plasmas, applicable in a wide range of plasma parameters, including the domains of nondegenerate and degenerate, nonrelativistic and relativistic electrons, weakly and strongly coupled Coulomb liquids, classical and quantum Coulomb crystals. We present improvements to previously published approximations. Our code for calculation of thermodynamic functions based on the reviewed approximations is made publicly available. (C) 2010 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：82 / 87

页数：6

共 50 条

[31] PHASE-TRANSITIONS AND ELEMENTARY PROCESSES IN ASTROPHYSICAL DENSE-PLASMAS
ICHIMARU, S
CONTRIBUTIONS TO PLASMA PHYSICS, 1993, 33 (5-6) : 345 - 354
[32] Magnetoacoustic solitons in dense astrophysical electron-positron-ion plasmas
Hussain, S.
Mahmood, S.
Mushtaq, A.
ASTROPHYSICS AND SPACE SCIENCE, 2013, 346 (02) : 359 - 366
[33] Magnetoacoustic solitons and shocks in dense astrophysical plasmas with relativistic degenerate electrons
Irfan, M.
Ali, S.
Mirza, Arshad M.
JOURNAL OF PLASMA PHYSICS, 2016, 82
[34] ON RATIONAL-APPROXIMATIONS OF FUNCTIONS ANALYTIC IN AN ANGLE
VIACHESLAVOV, NS
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1992, (04): : 53 - 60
[35] On certain polynomial and other approximations to analytic functions
Portisky, H
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1930, 16 : 83 - 85
[36] CONVERGENCE ANALYSIS OF LAGUERRE APPROXIMATIONS FOR ANALYTIC FUNCTIONS
Wang, Haiyong
MATHEMATICS OF COMPUTATION, 2024, 93 (350) : 2861 - 2884
[37] Approximations to Brillouin functions for analytic descriptions of ferromagnetism
Arrott, A. S.
JOURNAL OF APPLIED PHYSICS, 2008, 103 (07)
[38] On certain polynomial and other approximations to analytic functions
Poritsky, Hillel
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1932, 34 (1-4) : 274 - 331
[39] RATIONAL CHEBYSHEV APPROXIMATIONS OF ANALYTIC-FUNCTIONS
CASTELLANOS, D
ROSENTHAL, WE
FIBONACCI QUARTERLY, 1993, 31 (03): : 205 - 215
[40] Sharp constants for rational approximations of analytic functions
Aptekarev, AI
SBORNIK MATHEMATICS, 2002, 193 (1-2) : 1 - 72

← 1 2 3 4 5 →