Bibliography
H. M. Antia. Rational function approximations for fermi-dirac integrals. The Astrophysical Journal Supplement Series, 84:101, 1 1993. doi:10.1086/191748.
Yu.V. Arkhipov and A.E. Davletov. Screened pseudopotential and static structure factors of semiclassical two-component plasmas. Physics Letters A, 247:339–342, 10 1998. doi:10.1016/s0375-9601(98)00613-6.
Yu. V. Arkhipov, F. B. Baimbetov, and A. E. Davletov. Thermodynamics of dense high-temperature plasmas: semiclassical approach. The European Physical Journal D, 8:299–304, 1 2000. doi:10.1007/s10053-000-8809-x.
Rory A. Baggott. Modifications of Bound States in Dense Plasma Environments. PhD thesis, University of Warwick, Warwick, 2017.
R Bredow, Th Bornath, W-D Kraeft, and R Redmer. Hypernetted chain calculations for multi-component and nonequilibrium plasmas. Contributions to Plasma Physics, 53(4-5):276–284, 2013.
Richard Bredow. Berechnung der Struktureigenschaften dichter Plasmen mit der Classical-Map Hypernetted Chain Approximation. PhD thesis, Universität Rostock, Rostock, 2017.
Maximilian P. Böhme, Luke B. Fletcher, Tilo Döppner, Dominik Kraus, Andrew D. Baczewski, Thomas R. Preston, Michael J. MacDonald, Frank R. Graziani, Zhandos A. Moldabekov, Jan Vorberger, and Tobias Dornheim. Evidence of free-bound transitions in warm dense matter and their impact on equation-of-state measurements. Jun 2023.
A. Calisti, S. Ferri, and B. Talin. Ionization potential depression in hot dense plasmas through a pure classical model. Contributions to Plasma Physics, 55:360–365, 5 2015. doi:10.1002/ctpp.201400087.
David Alan Chapman. Probing the dynamic response of dense matter with x-ray Thomson scattering. PhD thesis, The University of, Warwick, 2015.
D. A. Chapman, J. Vorberger, L. B. Fletcher, R. A. Baggott, L. Divol, T. Döppner, R. W. Falcone, S. H. Glenzer, G. Gregori, T. M. Guymer, A. L. Kritcher, O. L. Landen, T. Ma, A. E. Pak, and D. O. Gericke. Observation of finite-wavelength screening in high-energy-density matter. Nature Communications, 4 2015. doi:10.1038/ncomms7839.
D. Chapman and Collaborators. User guide for the multi-component scattering simulation (MCSS) code. Awe, 2016.
Junzo Chihara. Interaction of photons with plasmas and liquid metals - photoabsorption and scattering. Journal of Physics: Condensed Matter, 12:231–247, 1 2000. doi:10.1088/0953-8984/12/3/303.
O. Ciricosta, S. M. Vinko, H.-K. Chung, B.-I. Cho, C. R. D. Brown, T. Burian, J. Chalupský, K. Engelhorn, R. W. Falcone, C. Graves, V. Hájková, A. Higginbotham, L. Juha, J. Krzywinski, H. J. Lee, M. Messerschmidt, C. D. Murphy, Y. Ping, D. S. Rackstraw, A. Scherz, W. Schlotter, S. Toleikis, J. J. Turner, L. Vysin, T. Wang, B. Wu, U. Zastrau, D. Zhu, R. W. Lee, P. Heimann, B. Nagler, and J. S. Wark. Direct measurements of the ionization potential depression in a dense plasma. Physical Review Letters, 8 2012. doi:10.1103/physrevlett.109.065002.
Brian Cowan. On the chemical potential of ideal fermi and bose gases. Journal of Low Temperature Physics, 197(5-6):412–444, 2019. doi:10.1007/s10909-019-02228-0.
B J B Crowley and G Gregori. X-ray scattering by many-particle systems. New Journal of Physics, 15:015014, 1 2013. doi:10.1088/1367-2630/15/1/015014.
B.J.B. Crowley. Continuum lowering – a new perspective. High Energy Density Physics, 13:84–102, 2014. doi:https://doi.org/10.1016/j.hedp.2014.04.003.
R. G. Dandrea, N. W. Ashcroft, and A. E. Carlsson. Electron liquid at any degeneracy. Physical Review B, 34:2097–2111, 8 1986. doi:10.1103/physrevb.34.2097.
P. Debye and E. Hückel. The theory of electrolytes. i. lowering of freezing point and related phenomena. Physikalische Zeitschrift, 24:185–206, 1923.
C. Deutsch. Nodal expansion in a real matter plasma. Physics Letters A, 60:317–318, 3 1977. doi:10.1016/0375-9601(77)90111-6.
C Deutsch. Dense and multicomponent plasmas. Physica Scripta, T2a:192–197, 1 1982. doi:10.1088/0031-8949/1982/t2a/025.
Tobias Dornheim, Attila Cangi, Kushal Ramakrishna, Maximilian Böhme, Shigenori Tanaka, and Jan Vorberger. Effective static approximation: a fast and reliable tool for warm-dense matter theory. Physical Review Letters, 125:235001, 12 2020. doi:10.1103/physrevlett.125.235001.
Tobias Dornheim, Zhandos A. Moldabekov, and Panagiotis Tolias. Analytical representation of the local field correction of the uniform electron gas within the effective static approximation. Physical Review B, 4 2021. doi:10.1103/physrevb.103.165102.
Tobias Dornheim, Maximilian Böhme, Dominik Kraus, Tilo Döppner, Thomas R. Preston, Zhandos A. Moldabekov, and Jan Vorberger. Accurate temperature diagnostics for matter under extreme conditions. Nature Communications, 12 2022. doi:10.1038/s41467-022-35578-7.
T. Dornheim, T. Döppner, A. D. Baczewski, P. Tolias, M. P. Böhme, Zh. A. Moldabekov, Th. Gawne, D. Ranjan, D. A. Chapman, M. J. MacDonald, Th. R. Preston, D. Kraus, and J. Vorberger. X-ray thomson scattering absolute intensity from the f-sum rule in the imaginary-time domain. Scientific Reports, 6 2024. doi:10.1038/s41598-024-64182-6.
T. Döppner, M. Bethkenhagen, D. Kraus, P. Neumayer, D. A. Chapman, B. Bachmann, R. A. Baggott, M. P. Böhme, L. Divol, R. W. Falcone, L. B. Fletcher, O. L. Landen, M. J. MacDonald, A. M. Saunders, M. Schörner, P. A. Sterne, J. Vorberger, B. B. L. Witte, A. Yi, R. Redmer, S. H. Glenzer, and D. O. Gericke. Observing the onset of pressure-driven k-shell delocalization. Nature, 5 2023. doi:10.1038/s41586-023-05996-8.
G. Ecker and W. Kröll. Lowering of the Ionization Energy for a Plasma in Thermodynamic Equilibrium. The Physics of Fluids, 6(1):62–69, 01 1963. doi:10.1063/1.1724509.
Behnam Farid, Volker Heine, G. E. Engel, and I. J. Robertson. Extremal properties of the harris-foulkes functional and an improved screening calculation for the electron gas. Phys. Rev. B, 48:11602–11621, Oct 1993. doi:10.1103/PhysRevB.48.11602.
L. B. Fletcher, H. J. Lee, T. Döppner, E. Galtier, B. Nagler, P. Heimann, C. Fortmann, S. LePape, T. Ma, M. Millot, A. Pak, D. Turnbull, D. A. Chapman, D. O. Gericke, J. Vorberger, T. White, G. Gregori, M. Wei, B. Barbrel, R. W. Falcone, C.-C. Kao, H. Nuhn, J. Welch, U. Zastrau, P. Neumayer, J. B. Hastings, and S. H. Glenzer. Ultrabright x-ray laser scattering for dynamic warm dense matter physics. Nature Photonics, 9:274–279, 4 2015. doi:10.1038/nphoton.2015.41.
Carsten Fortmann, August Wierling, and Gerd Röpke. Influence of local-field corrections on thomson scattering in collision-dominated two-component plasmas. Physical Review E, 2 2010. doi:10.1103/physreve.81.026405.
Toshio Fukushima. Precise and fast computation of inverse fermi–dirac integral of order 1/2 by minimax rational function approximation. Applied Mathematics and Computation, 259:698–707, 5 2015. doi:10.1016/j.amc.2015.03.015.
D. J. W. Geldart and S. H. Vosko. The screening function of an interacting electron gas. Canadian Journal of Physics, 44(9):2137–2171, 1966. doi:10.1139/p66-174.
D. O. Gericke, J. Vorberger, K. Wünsch, and G. Gregori. Screening of ionic cores in partially ionized plasmas within linear response. Physical Review E, 6 2010. doi:10.1103/physreve.81.065401.
Siegfried H. Glenzer and Ronald Redmer. X-ray thomson scattering in high energy density plasmas. Reviews of Modern Physics, 81:1625–1663, 12 2009. doi:10.1103/revmodphys.81.1625.
G. Gregori, S. H. Glenzer, W. Rozmus, R. W. Lee, and O. L. Landen. Theoretical model of x-ray scattering as a dense matter probe. Physical Review E, 2 2003. doi:10.1103/physreve.67.026412.
G. Gregori, S. H. Glenzer, F. J. Rogers, S. M. Pollaine, O. L. Landen, C. Blancard, G. Faussurier, P. Renaudin, S. Kuhlbrodt, and R. Redmer. Electronic structure measurements of dense plasmas. Physics of Plasmas, 11:2754–2762, 5 2004. doi:10.1063/1.1689664.
G. Gregori, S. H. Glenzer, and O. L. Landen. Generalized x-ray scattering cross section from nonequilibrium plasmas. Physical Review E, 8 2006. doi:10.1103/physreve.74.026402.
G. Gregori, S.H. Glenzer, H.-K. Chung, D.H. Froula, R.W. Lee, N.B. Meezan, J.D. Moody, C. Niemann, O.L. Landen, B. Holst, R. Redmer, S.P. Regan, and H. Sawada. Measurement of carbon ionization balance in high-temperature plasma mixtures by temporally resolved x-ray scattering. Journal of Quantitative Spectroscopy and Radiative Transfer, 99:225–237, 5 2006. doi:10.1016/j.jqsrt.2005.05.017.
G. Gregori, A. Ravasio, A. Höll, S.H. Glenzer, and S.J. Rose. Derivation of the static structure factor in strongly coupled non-equilibrium plasmas for x-ray scattering studies. High Energy Density Physics, 3:99–108, 5 2007. doi:10.1016/j.hedp.2007.02.006.
M F Gu. The flexible atomic code. Canadian Journal of Physics, 86:675–689, 5 2008. doi:10.1139/p07-197.
Kerson Huang. Statistical Mechanics. John Wiley \& Sons, Nashville, TN, 2 edition, April 1987.
J. Hubbard and Rudolf Ernst Peierls. The description of collective motions in terms of many-body perturbation theory. Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 240(1223):539–560, 1957. doi:10.1098/rspa.1957.0106.
S. Ichimaru. Statistical Plasma Physics, Volume I: Basic Principles. Frontiers in Physics. CRC Press, 2018. ISBN 9780429965708.
G. Kelbg. Quantenstatistik der gase mit coulomb-wechselwirkung. Annalen der Physik, 467:354–360, 1 1963. doi:10.1002/andp.19634670703.
Dominik Kraus. Characterization of phase transitions in warm dense matter with X-ray scattering: Charakterisierung von Phasenübergängen in warmer dichter Materie mit Röntgenstreuung. PhD thesis, Technische Universität, Darmstadt, 2012.
D Kraus, B Bachmann, B Barbrel, R W Falcone, L B Fletcher, S Frydrych, E J Gamboa, M Gauthier, D O Gericke, S H Glenzer, S Göde, E Granados, N J Hartley, J Helfrich, H J Lee, B Nagler, A Ravasio, W Schumaker, J Vorberger, and T Döppner. Characterizing the ionization potential depression in dense carbon plasmas with high-precision spectrally resolved x-ray scattering. Plasma Physics and Controlled Fusion, 61(1):014015, nov 2018. doi:10.1088/1361-6587/aadd6c.
Sandeep Kumar, Anna Julia Poser, Manuel Schöttler, Uwe Kleinschmidt, Wieland Dietrich, Johannes Wicht, Martin French, and Ronald Redmer. Ionization and transport in partially ionized multicomponent plasmas: application to atmospheres of hot jupiters. Physical Review E, 6 2021. doi:10.1103/physreve.103.063203.
Chengliang Lin, Gerd Röpke, Wolf-Dietrich Kraeft, and Heidi Reinholz. Ionization-potential depression and dynamical structure factor in dense plasmas. Physical Review E, 7 2017. doi:10.1103/physreve.96.013202.
Katharina Lodders. Solar system abundances of the elements. 10 2010. doi:10.1007/978-3-642-10352-0\_8.
N. D. Mermin. Lindhard dielectric function in the relaxation-time approximation. Physical Review B, 1:2362–2363, 3 1970. doi:10.1103/physrevb.1.2362.
missing booktitle in More.1985
William J. Murphy, Andrew Higginbotham, Justin S. Wark, and Nigel Park. Molecular dynamics simulations of the debye-waller effect in shocked copper. Physical Review B, 78:014109, 7 2008. doi:10.1103/physrevb.78.014109.
Jean-Christophe Pain. Multi-configuration calculation of ionization potential depression. Plasma, 5:384–407, 9 2022. doi:10.3390/plasma5040029.
Linus Pauling and Jack Sherman. Screening constants for Many-electron Atoms. The calculation and interpretation of X-ray Term values, and the Calculation of Atomic Scattering Factors. Akademische Verlagsgesllschaft M.B.H, Leipzig, 1932.
William H. Press, Brian P. Flannery, Saul A. Teukolsky, and William T. Vetterling. Numerical recipes in C - the art of scientific computing. Cambridge University Press, 1992. ISBN 9780521431088.
Thomas R. Preston, Sam M. Vinko, Orlando Ciricosta, Hyun-Kyung Chung, Richard W. Lee, and Justin S. Wark. The effects of ionization potential depression on the spectra emitted by hot dense aluminium plasmas. High Energy Density Physics, 9:258–263, 6 2013. doi:10.1016/j.hedp.2012.12.014.
G. P. Purja Pun and Y. Mishin. Optimized interatomic potential for silicon and its application to thermal stability of silicene. Physical Review B, 6 2017. doi:10.1103/physrevb.95.224103.
R. Redmer, H. Reinholz, G. Ropke, R. Thiele, and A. Holl. Theory of x-ray thomson scattering in dense plasmas. IEEE Transactions on Plasma Science, 33:77–84, 2 2005. doi:10.1109/tps.2004.841170.
B. F. Rozsnyai. Relativistic hartree-fock-slater calculations for arbitrary temperature and matter density. Physical Review A, 5:1137–1149, 1972. doi:10.1103/PhysRevA.5.1137.
Gerd Röpke, David Blaschke, Tilo Döppner, Chengliang Lin, Wolf-Dietrich Kraeft, Ronald Redmer, and Heidi Reinholz. Ionization potential depression and pauli blocking in degenerate plasmas at extreme densities. Phys. Rev. E, 99:033201, Mar 2019. doi:10.1103/PhysRevE.99.033201.
E. E. Salpeter. Electron density fluctuations in a plasma. Physical Review, 120:1528–1535, 12 1960. doi:10.1103/physrev.120.1528.
M Schumacher, F Smend, and I Borchert. Incoherent scattering of gamma rays by inner-shell electrons. Journal of Physics B: Atomic and Molecular Physics, 8:1428–1439, 6 1975. doi:10.1088/0022-3700/8/9/010.
Samuel Schumacher, Julian Lütgert, Dirk O. Gericke, Mandy Bethkenhagen, Tilo Döppner, Otto L. Landen, Nathaniel R. Shaffer, Charles E. Starrett, and Dominik Kraus. Modelling thomson scattering in a hydrogen plasma at stellar interior conditions using the hypernetted-chain approach. Contributions to Plasma Physics, 3 2025. doi:10.1002/ctpp.70002.
A. K. Schuster, N. J. Hartley, J. Vorberger, T. Döppner, T. van Driel, R. W. Falcone, L. B. Fletcher, S. Frydrych, E. Galtier, E. J. Gamboa, D. O. Gericke, S. H. Glenzer, E. Granados, M. J. MacDonald, A. J. MacKinnon, E. E. McBride, I. Nam, P. Neumayer, A. Pak, I. Prencipe, K. Voigt, A. M. Saunders, P. Sun, and D. Kraus. Measurement of diamond nucleation rates from hydrocarbons at conditions comparable to the interiors of icy giant planets. Physical Review B, 2 2020. doi:10.1103/physrevb.101.054301.
V. Schwarz, Th. Bornath, W.-D. Kraeft, S. H. Glenzer, A. Höll, and R. Redmer. Hypernetted chain calculations for two-component plasmas. Contributions to Plasma Physics, 47:324–330, 7 2007. doi:10.1002/ctpp.200710043.
Maximilian Schörner, Mandy Bethkenhagen, Tilo Döppner, Dominik Kraus, Luke B. Fletcher, Siegfried H. Glenzer, and Ronald Redmer. X-ray thomson scattering spectra from density functional theory molecular dynamics simulations based on a modified chihara formula. Physical Review E, 6 2023. doi:10.1103/physreve.107.065207.
P. Seuferling, J. Vogel, and C. Toepffer. Correlations in a two-temperature plasma. Physical review. A, General physics, 40(1):323–329, 1989. doi:10.1103/physreva.40.323.
Nathaniel R. Shaffer, Sanat Kumar Tiwari, and Scott D. Baalrud. Pair correlation functions of strongly coupled two-temperature plasma. Physics of Plasmas, 2017. doi:10.1063/1.4999185.
H. B. Singh and A. Holz. Structure factor of liquid alkali metals. Physical Review A, 28:1108–1113, 8 1983. doi:10.1103/physreva.28.1108.
J. C. Stewart and Jr Pyatt, K. D. Lowering of ionization potentials in plasmas. Astrophysical Journal, 144:1203–1211, 1966.
Aidan P. Thompson, H. Metin Aktulga, Richard Berger, Dan S. Bolintineanu, W. Michael Brown, Paul S. Crozier, Pieter J. in \textquotesingle t Veld, Axel Kohlmeyer, Stan G. Moore, Trung Dac Nguyen, Ray Shan, Mark J. Stevens, Julien Tranchida, Christian Trott, and Steven J. Plimpton. Lammps - a flexible simulation tool for particle-based materials modeling at the atomic, meso, and continuum scales. Computer Physics Communications, 271:108171, 2 2022. doi:10.1016/j.cpc.2021.108171.
Kenichi Utsumi and Setsuo Ichimaru. Dielectric formulation of strongly coupled electron liquids at metallic densities. vi. analytic expression for the local-field correction. Phys. Rev. A, 26:603–610, Jul 1982. doi:10.1103/PhysRevA.26.603.
K. Wünsch, P. Hilse, M. Schlanges, and D. O. Gericke. Structure of strongly coupled multicomponent plasmas. Physical Review E, 5 2008. doi:10.1103/physreve.77.056404.
K. Wünsch, J. Vorberger, and D. O. Gericke. Ion structure in warm dense matter: benchmarking solutions of hypernetted-chain equations by first-principle simulations. Physical Review E, 1 2009. doi:10.1103/physreve.79.010201.
Kathrin Wünsch. Theory of X-ray Thomson scattering in warm dense matter. PhD thesis, University of Warwick, Warwick, 2011.
K. Wünsch, J. Vorberger, G. Gregori, and D. O. Gericke. X-ray scattering as a probe for warm dense mixtures and high-pressure miscibility. EPL (Europhysics Letters), 94(2):25001, 4 2011. doi:10.1209/0295-5075/94/25001.
G.B. Zimmerman and R.M. More. Pressure ionization in laser-fusion target simulation. Journal of Quantitative Spectroscopy and Radiative Transfer, 23(5):517–522, 1980. doi:https://doi.org/10.1016/0022-4073(80)90055-2.