YNAO OpenIR  > 恒星物理研究组
NUMERICAL INTEGRAL OF RESISTANCE COEFFICIENTS IN DIFFUSION
Zhang QS(张钱生)1,2,3
Source PublicationASTROPHYSICAL JOURNAL
2017-01-10
Volume834Issue:2Pages:132-
DOI10.3847/1538-4357/834/2/132
Contribution Rank第1完成单位
Indexed BySCI
KeywordDiffusion Stars: Abundances Stars: Interiors
Abstract

The resistance coefficients in the screened Coulomb potential of stellar plasma are evaluated to high accuracy. I have analyzed the possible singularities in the integral of scattering angle. There are possible singularities in the case of an attractive potential. This may result in a problem for the numerical integral. In order to avoid the problem, I have used a proper scheme, e.g., splitting into many subintervals where the width of each subinterval is determined by the variation of the integrand, to calculate the scattering angle. The collision integrals are calculated by using Romberg's method, therefore the accuracy is high (i.e., similar to 10(-12)). The results of collision integrals and their derivatives for -7 <= psi <= 5 are listed. By using Hermite polynomial interpolation from those data, the collision integrals can be obtained with an accuracy of 10(-10). For very weakly coupled plasma (psi >= 4.5), analytical fittings for collision integrals are available with an accuracy of 10(-11). I have compared the final results of resistance coefficients with other works and found that, for a repulsive potential, the results are basically the same as others'; for an attractive potential, the results in cases of intermediate and strong coupling show significant differences. The resulting resistance coefficients are tested in the solar model. Comparing with the widely used models of Cox et al. and Thoul et al., the resistance coefficients in the screened Coulomb potential lead to a slightly weaker effect in the solar model, which is contrary to the expectation of attempts to solve the solar abundance problem.

Funding ProjectNational Natural Science Foundation of China[11303087] ; Chinese Academy of Sciences (Light of West China Program) ; Chinese Academy of Sciences (Youth Innovation Promotion Association)
Funding OrganizationNational Natural Science Foundation of China[11303087] ; Chinese Academy of Sciences (Light of West China Program) ; Chinese Academy of Sciences (Youth Innovation Promotion Association)
Language英语
Subject Area天文学 ; 恒星与银河系 ; 恒星物理学
MOST Discipline Catalogue理学 ; 理学::天文学
SubtypeArticle
PublisherIOP PUBLISHING LTD
Publication PlaceTEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND
ISSN0004-637X
URL查看原文
Archive Date2017-01-18
WOS IDWOS:000400138300006
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS KeywordTHERMONUCLEAR REACTION-RATES ; SOLAR CONVECTION ZONE ; OF-STATE TABLES ; ELEMENT DIFFUSION ; COMPOSITION GRADIENTS ; REVISED ABUNDANCES ; STELLAR PLASMAS ; MODELS ; HELIUM ; OPACITIES
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.ynao.ac.cn/handle/114a53/10177
Collection恒星物理研究组
中国科学院天体结构与演化重点实验室
Corresponding AuthorZhang QS(张钱生)
Affiliation1.Yunnan Observatories, Chinese Academy of Sciences, 396 Yangfangwang, Guandu District, Kunming, 650216, P. R. China
2.Center for Astronomical Mega-Science, Chinese Academy of Sciences, 20A Datun Road, Chaoyang District, Beijing, 100012, P. R. China
3.Key Laboratory for the Structure and Evolution of Celestial Objects, Chinese Academy of Sciences, 396 Yangfangwang, Guandu District, Kunming, 650216, P. R. China
First Author AffilicationYunnan Observatories, Chinese Academy of Sciences
Corresponding Author AffilicationYunnan Observatories, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Zhang QS. NUMERICAL INTEGRAL OF RESISTANCE COEFFICIENTS IN DIFFUSION[J]. ASTROPHYSICAL JOURNAL,2017,834(2):132-.
APA Zhang QS.(2017).NUMERICAL INTEGRAL OF RESISTANCE COEFFICIENTS IN DIFFUSION.ASTROPHYSICAL JOURNAL,834(2),132-.
MLA Zhang QS."NUMERICAL INTEGRAL OF RESISTANCE COEFFICIENTS IN DIFFUSION".ASTROPHYSICAL JOURNAL 834.2(2017):132-.
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