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In this review article we discuss selected developments regarding the role of the equation of state (EOS) in simulations of core-collapse supernovae. There are no first-principle calculations of the state of matter under supernova…

We report here the first equation of state measurements of Fe$_2$O$_3$ obtained with laser-driven shock compression. The data are in excellent agreement with previous dynamic and static compression measurements at low pressure, and extend…

In this work a first attempt is made to extract the Equation of State (EoS) using experimental results of the $\phi$ meson produced in nuclear collisions at AGS, SPS and RHIC energies. The data are confronted to simple thermodynamic…

Nuclear Experiment · Physics 2010-01-15 Raghunath Sahoo , Tapan K. Nayak , Jan-e Alam , Sonia Kabana , Basanta K. Nandi , D P Mahapatra

We calculate the hydrogen Hugoniot using ab initio path integral Monte Carlo. We introduce an efficient finite-temperature fixed-node approximation for handling fermions, which includes an optimized mixture of free particle states and…

Materials Science · Physics 2011-08-09 Saad A. Khairallah , J. Shumway , Erik W. Draeger

We present a detailed comparison of two self-consistent equation-of-state models which differ from their electronic contribution: the atom in a spherical cell and the atom in a jellium of charges. It is shown that both models are well…

Plasma Physics · Physics 2009-11-13 Jean-Christophe Pain

First principles electronic structure calculations based on density functional theory have been used to study the thermodynamic, structural and transport properties of solid solutions and liquid alloys of iron and oxygen at Earth's core…

Geophysics · Physics 2009-10-31 Dario Alfe` , G. David Price , Michael J. Gillan

The microscopic composition and properties of matter at super-saturation densities have been the subject of intense investigation for decades. The scarcity of experimental and observational data has lead to the necessary reliance on…

Solar and Stellar Astrophysics · Physics 2015-06-15 J. R. Stone

The equation of state (EoS) of neutron matter plays a decisive role in our understanding of the properties of neutron stars as well as the generation of gravitational waves in neutron star mergers. At sufficient densities, it is known that…

Nuclear Theory · Physics 2025-02-24 Hui Tong , Serdar Elhatisari , Ulf-G. Meißner

First principles electronic structure calculations, based upon density functional theory within the generalized gradient approximation and ultra-soft Vanderbilt pseudopotentials, have been used to simulate a liquid alloy of iron and sulfur…

Condensed Matter · Physics 2009-10-31 Dario Alfe` , Michael J. Gillan

The nuclear equation of state (EOS) is at the center of numerous theoretical and experimental efforts in nuclear physics. With advances in microscopic theories for nuclear interactions, the availability of experiments probing nuclear matter…

Nuclear Theory · Physics 2024-01-29 Agnieszka Sorensen , Kshitij Agarwal , Kyle W. Brown , Zbigniew Chajęcki , Paweł Danielewicz , Christian Drischler , Stefano Gandolfi , Jeremy W. Holt , Matthias Kaminski , Che-Ming Ko , Rohit Kumar , Bao-An Li , William G. Lynch , Alan B. McIntosh , William G. Newton , Scott Pratt , Oleh Savchuk , Maria Stefaniak , Ingo Tews , ManYee Betty Tsang , Ramona Vogt , Hermann Wolter , Hanna Zbroszczyk , Navid Abbasi , Jörg Aichelin , Anton Andronic , Steffen A. Bass , Francesco Becattini , David Blaschke , Marcus Bleicher , Christoph Blume , Elena Bratkovskaya , B. Alex Brown , David A. Brown , Alberto Camaiani , Giovanni Casini , Katerina Chatziioannou , Abdelouahad Chbihi , Maria Colonna , Mircea Dan Cozma , Veronica Dexheimer , Xin Dong , Travis Dore , Lipei Du , José A. Dueñas , Hannah Elfner , Wojciech Florkowski , Yuki Fujimoto , Richard J. Furnstahl , Alexandra Gade , Tetyana Galatyuk , Charles Gale , Frank Geurts , Fabiana Gramegna , Sašo Grozdanov , Kris Hagel , Steven P. Harris , Wick Haxton , Ulrich Heinz , Michal P. Heller , Or Hen , Heiko Hergert , Norbert Herrmann , Huan Zhong Huang , Xu-Guang Huang , Natsumi Ikeno , Gabriele Inghirami , Jakub Jankowski , Jiangyong Jia , José C. Jiménez , Joseph Kapusta , Behruz Kardan , Iurii Karpenko , Declan Keane , Dmitri Kharzeev , Andrej Kugler , Arnaud Le Fèvre , Dean Lee , Hong Liu , Michael A. Lisa , William J. Llope , Ivano Lombardo , Manuel Lorenz , Tommaso Marchi , Larry McLerran , Ulrich Mosel , Anton Motornenko , Berndt Müller , Paolo Napolitani , Joseph B. Natowitz , Witold Nazarewicz , Jorge Noronha , Jacquelyn Noronha-Hostler , Grażyna Odyniec , Panagiota Papakonstantinou , Zuzana Paulínyová , Jorge Piekarewicz , Robert D. Pisarski , Christopher Plumberg , Madappa Prakash , Jørgen Randrup , Claudia Ratti , Peter Rau , Sanjay Reddy , Hans-Rudolf Schmidt , Paolo Russotto , Radoslaw Ryblewski , Andreas Schäfer , Björn Schenke , Srimoyee Sen , Peter Senger , Richard Seto , Chun Shen , Bradley Sherrill , Mayank Singh , Vladimir Skokov , Michał Spaliński , Jan Steinheimer , Mikhail Stephanov , Joachim Stroth , Christian Sturm , Kai-Jia Sun , Aihong Tang , Giorgio Torrieri , Wolfgang Trautmann , Giuseppe Verde , Volodymyr Vovchenko , Ryoichi Wada , Fuqiang Wang , Gang Wang , Klaus Werner , Nu Xu , Zhangbu Xu , Ho-Ung Yee , Sherry Yennello , Yi Yin

The injection of hydrogen into the natural-gas grid is an alternative during the process of a gradual decarbonization of the heat and power supply. When dealing with hydrogen-enriched natural gas mixtures, the performance of the reference…

In numerical simulations of core-collapse supernova and binary neutron stars mergers, information about the energetics and composition of matter is implemented via external tables covering the huge ranges of thermodynamic conditions…

Nuclear Theory · Physics 2025-09-11 Adriana R. Raduta , Mikhail V. Beznogov

The proposed earlier relativistic mean-field model with hadron masses and coupling constants depending on the $\sigma$-meson field is generalized to finite temperatures. Within this approach we simulate the in-medium behavior of the hadron…

Nuclear Theory · Physics 2008-11-26 A. S. Khvorostukhin , V. D. Toneev , D. N. Voskresensky

An effective equation of state (EoS) which generalizes the Lattimer-Swesty equation for nuclear matter is presented for matter at supernuclear densities including strange baryons. It contains an adjustable baryon potential energy density,…

Nuclear Theory · Physics 2009-10-30 Shmuel Balberg , Avraham Gal

We present equation of state data of shock compressed hydrogen and deuterium. These have been calculated in the physical picture by using {\it ab initio} molecular dynamics simulations based on finite temperature density functional theory…

We extend the applicability range of fermionic path integral Monte Carlo simulations to heavier elements and lower temperatures by introducing various localized nodal surfaces. Hartree-Fock nodes yield the most accurate prediction for…

Materials Science · Physics 2015-10-27 Burkhard Militzer , Kevin P. Driver

We present estimates of the critical properties, thermodynamic functions, and principal shock Hugoniot of hot dense aluminum fluid as predicted from a chemical model for the equation-of-state of hot dense, partially ionized and partially…

Plasma Physics · Physics 2018-04-04 Mofreh R. Zaghloul

Magnetic materials are typically described in terms of the Heisenberg model, which provides an accurate account of thermodynamic properties when combined with first principles calculations. This approach is usually based on an energy…

Materials Science · Physics 2020-12-04 Daniele Torelli , Thomas Olsen

An anisotropic equation of state is proposed for accurate extrapolation of high-pressure shock Hugoniot states to other thermodynamics states for shocked single crystals and polycrystalline alloys. The proposed equation of state represents…

Materials Science · Physics 2009-11-25 Alexander A. Lukyanov

The principal Hugoniot of carbon, initially diamond, was measured from 3 to 80 TPa (30 to 800 million atmospheres), the highest pressure ever achieved, using radiography of spherically-converging shocks. The shocks were generated by…

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