Numerical Approximation to the Thermodynamic Integrals | Zendy

S. M. Johns | Zendy; P.J. Ellis | Zendy; James M. Lattimer | Zendy

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Numerical Approximation to the Thermodynamic Integrals

Author(s) -

S. M. Johns,

P.J. Ellis,

James M. Lattimer

Publication year - 1996

Publication title -

the astrophysical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.376

H-Index - 489

eISSN - 1538-4357

pISSN - 0004-637X

DOI - 10.1086/178212

Subject(s) - flannery , limiting , mathematics , fermion , boson , energy (signal processing) , energy density , pure mathematics , statistical physics , physics , theoretical physics , quantum mechanics , statistics , philosophy , mechanical engineering , theology , engineering

We approximate boson thermodynamic integrals as polynomials in two variableschosen to give the correct limiting expansions and to smoothly interpolate intoother regimes. With 10 free parameters, an accuracy of better than 0.009\% isachieved for the pressure, internal energy density and the number density. Wealso revisit the fermion case, originally addressed by Eggleton, Faulkner andFlannery (1973), and substantially improve the accuracy of their fits.Comment: 24 pages, Latex (no figures

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