novel-fermi-function-refs.bib

% References which have Inspire HEP codes
@book{Letessier:2002ony,
place={Cambridge},
series={Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology},
title={Hadrons and Quark\textendash{}Gluon Plasma},
doi={10.1017/9781009290753},
publisher={Cambridge University Press},
author={Letessier, J. and Rafelski, J.},
year={2023},
address={Cambridge},
collection={Cambridge Monographs on Particle Physics, Nuclear Physics and Cosmology},
note={\emph{Open access.} [orig. pub. 2002]}
}
@article{Fromerth:2012fe,
author = "Fromerth, M. J. and Kuznetsova, I. and Labun, L. and Letessier, J. and Rafelski, J.",
editor = "Praszalowicz, M.",
title = "{From Quark-Gluon Universe to Neutrino Decoupling: 200 \ensuremath{<} T \ensuremath{<} 2MeV}",
eprint = "1211.4297",
archivePrefix = "arXiv",
primaryClass = "nucl-th",
doi = "10.5506/APhysPolB.43.2261",
journal = "Acta Phys. Polon. B",
volume = "43",
number = "12",
pages = "2261--2284",
year = "2012"
}
@article{Canetti:2012zc,
author = "Canetti, L. and Drewes, M. and Shaposhnikov, M.",
title = "{Matter and Antimatter in the Universe}",
eprint = "1204.4186",
archivePrefix = "arXiv",
primaryClass = "hep-ph",
reportNumber = "TTK-12-04",
doi = "10.1088/1367-2630/14/9/095012",
journal = "New J. Phys.",
volume = "14",
pages = "095012",
year = "2012"
}
@article{Elze:1980er,
author = "Elze, H. T. and Greiner, W. and Rafelski, J.",
title = "{The relativistic Fermi gas revisited}",
doi = "10.1088/0305-4616/6/9/003",
journal = "J. Phys. G",
volume = "6",
pages = "L149--L153",
year = "1980"
}

@article{Steinmetz:2023nsc,
author = "Steinmetz, Andrew and Yang, Cheng Tao and Rafelski, Johann",
title = "{Matter-antimatter origin of cosmic magnetism}",
eprint = "2308.14818",
archivePrefix = "arXiv",
primaryClass = "hep-ph",
doi = "10.1103/PhysRevD.108.123522",
journal = "Phys. Rev. D",
volume = "108",
number = "12",
pages = "123522",
year = "2023"
}
@article{Birrell:2012gg,
author = "Birrell, Jeremiah and Yang, Cheng-Tao and Chen, Pisin and Rafelski, Johann",
title = "{Relic neutrinos: Physically consistent treatment of effective number of neutrinos and neutrino mass}",
eprint = "1212.6943",
archivePrefix = "arXiv",
primaryClass = "astro-ph.CO",
doi = "10.1103/PhysRevD.89.023008",
journal = "Phys. Rev. D",
volume = "89",
pages = "023008",
year = "2014"
}
@article{Birrell:2013gpa,
author = "Birrell, Jeremiah and Yang, Cheng-Tao and Chen, Pisin and Rafelski, Johann",
title = "{Fugacity and Reheating of Primordial Neutrinos}",
eprint = "1303.2583",
archivePrefix = "arXiv",
primaryClass = "astro-ph.CO",
doi = "10.1142/S0217732313501885",
journal = "Mod. Phys. Lett. A",
volume = "28",
pages = "1350188",
year = "2013"
}
@article{Rafelski:2023emw,
author = "Rafelski, J. and Birrell, J. and Steinmetz, A. and Yang, C. T.",
title = "{A Short Survey of Matter-Antimatter Evolution in the Primordial Universe}",
archivePrefix = "arXiv",
eprint = "2305.09055",
primaryClass = "hep-th",
doi = "10.3390/universe9070309",
journal = "Universe",
volume = "9",
number = "7",
pages = "309",
year = "2023"
}
@article{Yang:2021bko,
author = "Yang, C. T. and Rafelski, J.",
title = "{Cosmological strangeness abundance}",
eprint = "2108.01752",
archivePrefix = "arXiv",
primaryClass = "hep-ph",
doi = "10.1016/j.physletb.2022.136944",
journal = "Phys. Lett. B",
volume = "827",
pages = "136944",
year = "2022"
}
@article{Rafelski:2021aey,
author = "Rafelski, J. and Yang, C. T.",
title = "{The muon abundance in the primordial Universe}",
eprint = "2103.07812",
archivePrefix = "arXiv",
primaryClass = "hep-ph",
doi = "10.5506/APhysPolB.52.277",
journal = "Acta Phys. Polon. B",
volume = "52",
pages = "277",
year = "2021"
}
@article{Grayson:2023flr,
author = "Grayson, C. and Yang, C. T. and Formanek, M. and Rafelski, J.",
title = "{Electron\textendash{}positron plasma in BBN: Damped-dynamic screening}",
eprint = "2307.11264",
archivePrefix = "arXiv",
primaryClass = "astro-ph.CO",
doi = "10.1016/j.aop.2023.169453",
journal = "Annals Phys.",
volume = "458",
pages = "169453",
year = "2023"
}
@article{Ferrer:2019xlr,
author = "Ferrer, E. J. and Hackebill, A.",
title = "{Thermodynamics of Neutrons in a Magnetic Field and its Implications for Neutron Stars}",
eprint = "1903.08224",
archivePrefix = "arXiv",
primaryClass = "nucl-th",
doi = "10.1103/PhysRevC.99.065803",
journal = "Phys. Rev. C",
volume = "99",
number = "6",
pages = "065803",
year = "2019"
}
@article{Ferrer:2023pgq,
author = "Ferrer, E. J. and Hackebill, A.",
title = "{The Importance of the Pressure Anisotropy Induced by Strong Magnetic Fields on Neutron Star Physics}",
doi = "10.1088/1742-6596/2536/1/012007",
journal = "J. Phys. Conf. Ser.",
volume = "2536",
number = "1",
pages = "012007",
year = "2023"
}
@article{Kaspi:2017fwg,
author = "Kaspi, Victoria M. and Beloborodov, Andrei",
title = "{Magnetars}",
eprint = "1703.00068",
archivePrefix = "arXiv",
primaryClass = "astro-ph.HE",
doi = "10.1146/annurev-astro-081915-023329",
journal = "Ann. Rev. Astron. Astrophys.",
volume = "55",
pages = "261--301",
year = "2017"
}
@article{Rafelski:2020ajx,
author = "Rafelski, J. and Yang, C. T.",
title = "{Reactions Governing Strangeness Abundance in Primordial Universe}",
eprint = "2009.05661",
archivePrefix = "arXiv",
primaryClass = "hep-ph",
doi = "10.1051/epjconf/202225913001",
journal = "EPJ Web Conf.",
volume = "259",
pages = "13001",
year = "2022"
}
@book{Gradshteyn:1943cpj,
author = "Gradshteyn, I. S. and Ryzhik, I. M.",
title = "Table of Integrals, Series, and Products, 7th edition",
isbn = "978-0-12-294757-5, 978-0-12-294757-5",
year = "2007",
publisher = "Academic Press",
address = "Burlington, MA"
}
@book{Kuebler:2021Th,
title={Theory of itinerant electron magnetism},
doi={10.1093/oso/9780192895639.001.0001},
publisher={Oxford University Press},
author={J\"urgen K\"ubler},
year={2021},
note={2nd Edition},
address={Oxford, UK}
}

% Below are references which DO NOT have Inspire HEP codes.

@book{landau2013statistical,
title={Course of Theoretical Physics, Volume 5, Statistical Physics, Part 1, 3rd edition},
author={Landau, Lev Davidovich and Lifshitz, Evgenii Mikhailovich},
year={1980},
publisher={Pergamon Press},
address = "Elmsford, NY"
}

@book{Arfken:2011abc,
title={Mathematical methods for physicists: a comprehensive guide},
author={Arfken, G. B. and Weber, H. J. and Harris, F. E.},
year={2012},
doi="10.1016/C2009-0-30629-7",
publisher={Academic press}
}

@book{Melrose:2008abc,
title={Quantum plasmadynamics: Magnetized plasmas},
author={Melrose, D.},
year={2013},
publisher={Springer},
doi={10.1007/978-1-4614-4045-1}
}

@book{greiner2012thermodynamics,
title={Thermodynamics and statistical mechanics},
author={Greiner, W. and Neise, L. and St{\"o}cker, H.},
year={2012},
publisher={Springer Science \& Business Media},
doi={10.1007/978-1-4612-0827-3},
note={[orig. pub. 1995]}
}

@article{10.1063/1.1665160,
author = {Wasserman, A. and Buckholtz, T. J. and DeWitt, H. E.},
title = "{Evaluation of Some Fermi‐Dirac Integrals}",
journal = {Journal of Mathematical Physics},
volume = {11},
number = {2},
pages = {477-482},
year = {1970},
month = {02},
abstract = "{The evaluation of Fermi‐Dirac integrals is discussed for cases in which the Sommerfeld method fails. Such cases occur when the integrand has a singularity at the Fermi surface and when the integrand is a rapidly oscillating function. As examples, the first‐order exchange integral for electrons and the free‐energy integral of the noninteracting electron gas in a magnetic field are evaluated. The method uses a contour‐integral representation of the Fermi function (previously mentioned by Dingle), supplemented by Mittag‐Leffler type expansions.}",
issn = {0022-2488},
doi = {10.1063/1.1665160},
url = {https://doi.org/10.1063/1.1665160},
eprint = {https://pubs.aip.org/aip/jmp/article-pdf/11/2/477/19230647/477\_1\_online.pdf},
}
@article{FUKUSHIMA2014417,
title = {Analytical computation of generalized {F}ermi–{D}irac integrals by truncated {S}ommerfeld expansions},
journal = {Applied Mathematics and Computation},
volume = {234},
pages = {417-433},
year = {2014},
issn = {0096-3003},
doi = {https://doi.org/10.1016/j.amc.2014.02.053},
url = {https://www.sciencedirect.com/science/article/pii/S0096300314002926},
author = {Toshio Fukushima},
keywords = {Fermi–Dirac integral, Generalized Fermi–Dirac integral, Riemann zeta function, Sommerfeld expansion}
}
@article{bludman1977equation,
title={Equation of state of an ideal {F}ermi gas},
author={Bludman, S. A. and Van Riper, K. A.},
journal={Astrophysical Journal},
volume={212},
pages={859--872},
year={1977}
}
@book{dingle1973asymptotic,
title={Asymptotic expansions: their derivation and interpretation},
author={Dingle, R. B.},
  isbn={9780122165504},
  lccn={lc72012267},
year={1973},
publisher={Academic Press},
address={London and New York},
doi={10.1007/978-1-4612-0827-3}
}
@article{dingle1957fermi,
title={The {F}ermi-{D}irac integrals},
author={Dingle, RB},
journal={Applied Scientific Research, Section B},
volume={6},
number={1},
pages={225--239},
year={1957},
doi={https://doi.org/10.1007/BF02920379},
publisher={Springer}
}
@article{kim2008notes,
title={Notes on {F}ermi-{D}irac integrals},
author={Kim, Raseong and Wang, Xufeng and Lundstrom, Mark},
journal={arXiv preprint arXiv:0811.0116},
year={2008}
}
@article{PhysRevB.103.205154,
title = {Presence versus absence of two-dimensional {F}ermi surface anomalies},
author = {Buterakos, Donovan and Vu, DinhDuy and Yu, Jiabin and Das Sarma, Sankar},
journal = {Phys. Rev. B},
volume = {103},
issue = {20},
pages = {205154},
numpages = {11},
year = {2021},
month = {May},
publisher = {American Physical Society},
doi = {10.1103/PhysRevB.103.205154},
url = {https://link.aps.org/doi/10.1103/PhysRevB.103.205154}
}

@article{GIL2023108563,
title = {Evaluation of the generalized {F}ermi-{D}irac integral and its derivatives for moderate/large values of the parameters},
journal = {Computer Physics Communications},
volume = {283},
pages = {108563},
year = {2023},
issn = {0010-4655},
doi = {https://doi.org/10.1016/j.cpc.2022.108563},
url = {https://www.sciencedirect.com/science/article/pii/S001046552200282X},
author = {Amparo Gil and Andrzej Odrzywołek and Javier Segura and Nico M. Temme},
keywords = {Generalized Fermi-Dirac integral, Relativistic Fermi-Dirac integral, Asymptotic expansions, Numerical approximations, Matlab implementations},
abstract = {Approximations with Matlab implementations for the relativistic Fermi-Dirac integral and its partial derivatives are given in this paper. As the numerical tests show, the expansions allow to calculate the functions efficiently and with high accuracy for a large range of parameters. Therefore, our algorithms are expected to be a very useful tool, in combination with other methods, for building reliable and efficient software for computing the functions for all the parameters ranges.
Program summary
Program Title: FermiDiracExpans CPC Library link to program files: https://doi.org/10.17632/sk34wtcxhh.1 Licensing provisions: GPLv3 Programming language: Matlab Nature of problem: The evaluation of the relativistic Fermi-Dirac function and its partial derivatives is needed in different problems in applied and theoretical physics, such as stellar astrophysics, plasma physics or electronics. Solution method: Convergent and asymptotic expansions are provided to approximate the relativistic Fermi-Dirac function and its derivatives for moderate/large values of its parameters. Additional comments including restrictions and unusual features: The functions work in recent versions of Matlab (from version R2014b on).}
}
@article{Lourenco:2007zza,
    author = "Lourenco, O. and Dutra, M. and Delfino, A. and Sa Martins, J. S.",
    editor = "Bodmann, Bardo E. J. and Vasconcellos, Cesar A. Z. and Coelho, Helio T. and Hadjimichef, Dimiter and Greiner, Walter and Stucker, Horst",
    title = "{Relativistic Sommerfeld low temperature expansion}",
    doi = "10.1142/S021827180701002X",
    journal = "Int. J. Mod. Phys. D",
    volume = "16",
    pages = "285--289",
    year = "2007"
}
@article{10.1063/1.1350634,
author = {Garoni, T. M. and Frankel, N. E. and Glasser, M. L.},
  title={Complete asymptotic expansions of the {F}ermi--{D}irac integrals $\mathcal{F}_p(\eta)= 1/\Gamma(p+ 1)\int_0^\infty[\varepsilon^p/(1+ e^{\varepsilon- \eta})] d\varepsilon$},
journal = {Journal of Mathematical Physics},
volume = {42},
number = {4},
pages = {1860-1868},
year = {2001},
month = {04},
abstract = "{The complete asymptotic expansions, that is to say expansions which include any exponentially small terms lying beyond all orders of the asymptotic power series, are calculated for the Fermi–Dirac integrals. We present two methods to accomplish this, the first in the complex plane utilizing Mellin transforms and Hankel’s representation of the gamma function, and the second on the real line using the known asymptotic expansions of the confluent hypergeometric functions. The complete expansions of Fp(η) are then used to investigate the effect that these traditionally neglected exponentially small terms have on physical systems. It is shown that for a 2 dimensional nonrelativistic ideal Fermi gas, the subdominant exponentially small series becomes dominant.}",
issn = {0022-2488},
doi = {10.1063/1.1350634},
url = {https://doi.org/10.1063/1.1350634},
eprint = {https://pubs.aip.org/aip/jmp/article-pdf/42/4/1860/19314445/1860\_1\_online.pdf},
}
@article{GIL2022126618,
title = {Complete asymptotic expansions for the relativistic {F}ermi-{D}irac integral},
journal = {Applied Mathematics and Computation},
volume = {412},
pages = {126618},
year = {2022},
issn = {0096-3003},
doi = {https://doi.org/10.1016/j.amc.2021.126618},
url = {https://www.sciencedirect.com/science/article/pii/S0096300321007025},
author = {A. Gil and J. Segura and N.M. Temme},
keywords = {Relativistic Fermi-Dirac integral, Asymptotic expansions, Confluent hypergeometric functions},
abstract = {Fermi-Dirac integrals appear in problems in nuclear astrophysics, solid state physics or in the fundamental theory of semiconductor modeling, among others areas of application. In this paper, we give new and complete asymptotic expansions for the relativistic Fermi-Dirac integral. These expansions could be useful to obtain a correct qualitative understanding of Fermi systems. The performance of the expansions is illustrated with numerical examples.}
}
@article{Trautner:2016ias,
    author = "Trautner, Andreas",
    title = "{Massive Fermi Gas in the Expanding Universe}",
    eprint = "1612.07249",
    archivePrefix = "arXiv",
    primaryClass = "astro-ph.CO",
    reportNumber = "TUM-HEP-1061-16",
    doi = "10.1088/1475-7516/2017/03/019",
    journal = "JCAP",
    volume = "03",
    pages = "019",
    year = "2017",
  publisher={IOP Publishing}
}
@article{Oertel:2016bki,
    author = {Oertel, M. and Hempel, M. and Kl\"ahn, T. and Typel, S.},
    title = "{Equations of state for supernovae and compact stars}",
    eprint = "1610.03361",
    archivePrefix = "arXiv",
    primaryClass = "astro-ph.HE",
    doi = "10.1103/RevModPhys.89.015007",
    journal = "Rev. Mod. Phys.",
    volume = "89",
    number = "1",
    pages = "015007",
    year = "2017"
}
@article{MUSES:2023hyz,
    author = "Kumar, Rajesh and others",
    collaboration = "MUSES",
    title = "{Theoretical and Experimental Constraints for the Equation of State of Dense and Hot Matter}",
    eprint = "2303.17021",
    archivePrefix = "arXiv",
    primaryClass = "nucl-th",
    month = "3",
    year = "2023"
}
@article{Perego:2019adq,
    author = "Perego, Albino and Bernuzzi, Sebastiano and Radice, David",
    title = "{Thermodynamics conditions of matter in neutron star mergers}",
    eprint = "1903.07898",
    archivePrefix = "arXiv",
    primaryClass = "gr-qc",
    doi = "10.1140/epja/i2019-12810-7",
    journal = "Eur. Phys. J. A",
    volume = "55",
    number = "8",
    pages = "124",
    year = "2019"
}
@article{Mroczek:2024sfp,
    author = "Mroczek, Debora and Yao, Nanxi and Zine, Katherine and Noronha-Hostler, Jacquelyn and Dexheimer, Veronica and Haber, Alexander and Most, Elias R.",
    title = "{Finite-temperature expansion of the dense-matter equation of state}",
    eprint = "2404.01658",
    archivePrefix = "arXiv",
    primaryClass = "astro-ph.HE",
    month = "4",
    year = "2024"
}
@article{Raithel:2019gws,
    author = "Raithel, Carolyn A. and Ozel, Feryal and Psaltis, Dimitrios",
    title = "{Finite-temperature extension for cold neutron star equations of state}",
    eprint = "1902.10735",
    archivePrefix = "arXiv",
    primaryClass = "astro-ph.HE",
    doi = "10.3847/1538-4357/ab08ea",
    journal = "Astrophys. J.",
    volume = "875",
    number = "1",
    pages = "12",
    year = "2019"
}
@article{Raithel:2021hye,
    author = {Raithel, Carolyn and Paschalidis, Vasileios and \"Ozel, Feryal},
    title = "{Realistic finite-temperature effects in neutron star merger simulations}",
    eprint = "2104.07226",
    archivePrefix = "arXiv",
    primaryClass = "astro-ph.HE",
    doi = "10.1103/PhysRevD.104.063016",
    journal = "Phys. Rev. D",
    volume = "104",
    number = "6",
    pages = "063016",
    year = "2021"
}
@article{Blacker:2023afl,
    author = "Blacker, Sebastian and Bauswein, Andreas and Typel, Stefan",
    title = "{Exploring thermal effects of the hadron-quark matter transition in neutron star mergers}",
    eprint = "2304.01971",
    archivePrefix = "arXiv",
    primaryClass = "astro-ph.HE",
    doi = "10.1103/PhysRevD.108.063032",
    journal = "Phys. Rev. D",
    volume = "108",
    number = "6",
    pages = "063032",
    year = "2023"
}
@article{Raithel:2023zml,
    author = "Raithel, Carolyn A. and Paschalidis, Vasileios",
    title = "{Influence of stellar compactness on finite-temperature effects in neutron star merger simulations}",
    eprint = "2306.13144",
    archivePrefix = "arXiv",
    primaryClass = "astro-ph.HE",
    doi = "10.1103/PhysRevD.108.083029",
    journal = "Phys. Rev. D",
    volume = "108",
    number = "8",
    pages = "083029",
    year = "2023"
}
@article{Sorensen:2023zkk,
    author = "Sorensen, Agnieszka and others",
    title = "{Dense nuclear matter equation of state from heavy-ion collisions}",
    eprint = "2301.13253",
    archivePrefix = "arXiv",
    primaryClass = "nucl-th",
    reportNumber = "INT-PUB-23-001, LA-UR-23-20514, LLNL-TR-844629",
    doi = "10.1016/j.ppnp.2023.104080",
    journal = "Prog. Part. Nucl. Phys.",
    volume = "134",
    pages = "104080",
    year = "2024"
}