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A detailed comparison is carried out between two popular equations of state (EOS), the Mihalas-Hummer-Dappen (MHD) and the OPAL equations of state, which have found widespread use in solar and stellar modeling during the past two decades.…

Astrophysics · Physics 2009-11-11 R. Trampedach , W. Dappen , V. A. Baturin

Equation of state (EOS) for bcc tungsten at 300 K (or 3000 K) up to 1000 GPa (or 300 GPa) was predicted for the first time by solving the partition function via a direct integral approach (DIA) with ab initio calculations of the atoms'…

Materials Science · Physics 2022-11-02 Yue-Yue Tian , Bo-Yuan Ning , X. -D. Xiang , Hui-Fen Zhang , Xi-Jing Ning

Modeling the interior of a rocky or water-rich exoplanet is a thermodynamic closure problem: every layer's density, temperature gradient, and phase must follow from an equation of state (EoS) that remains self-consistent across the…

Earth and Planetary Astrophysics · Physics 2026-05-06 Mara Attia , Tim Lichtenberg , Ema Jungová , Mariana Sastre

The temperature of the interstellar medium (ISM) is governed by several physical process, among which radiative cooling, external UV/cosmic ray heating, and the mechanical work by compression and expansion. In regimes where the dynamical…

Astrophysics of Galaxies · Physics 2024-01-19 Yueh-Ning Lee

The holographic Einstein-Maxwell-dilaton model is employed to map state-of-the-art lattice QCD thermodynamics data from the temperature ($T$) axis towards the baryon-chemical potential ($\mu_B$) axis aimed at gaining a warm equation of…

High Energy Physics - Theory · Physics 2024-07-03 Rico Zöllner , Burkhard Kämpfer

The equation of state and composition of matter are calculated for conditions typical for pre-collapse and early collapse stages in core collapse supernovae. The composition is evaluated under the assumption of nuclear statistical…

High Energy Astrophysical Phenomena · Physics 2012-03-26 S. I. Blinnikov , I. V. Panov , M. A. Rudzsky , K. Sumiyoshi

A new table of the nuclear equation of state (EOS) based on realistic nuclear potentials is constructed for core-collapse supernova numerical simulations. Adopting the EOS of uniform nuclear matter constructed by two of the present authors…

Nuclear Theory · Physics 2017-03-23 H. Togashi , K. Nakazato , Y. Takehara , S. Yamamuro , H. Suzuki , M. Takano

We discuss major challenges in modeling giant impacts between planetary bodies, focusing on the equations of state (EOS). During the giant impact stage of planet formation, rocky planets are melted and partially vaporized. However, most EOS…

We investigate the Equation of State (EOS) of classical systems having 300 and 512 particles confined in a box with periodic boundary conditions. We show that such a system, independently on the number of particles investigated, has a…

Nuclear Theory · Physics 2009-10-28 P. Finocchiaro , M. Belkacem , T. Kubo , V. Latora , A. Bonasera

We calculate the equation of state of dense hydrogen within the chemical picture. Fluid variational theory is generalized for a multi-component system of molecules, atoms, electrons, and protons. Chemical equilibrium is supposed for the…

Plasma Physics · Physics 2012-04-16 Bastian Holst , Nadine Nettelmann , Ronald Redmer

Wide range equation of state (EOS) for liquid hydrogen is ultimately built by combining two kinds of density functional theory (DFT) molecular dynamics simulations, namely, first-principles molecular dynamics simulations and orbital-free…

Materials Science · Physics 2015-06-16 Cong Wang , Ping Zhang

The aim of our work is to develop a unified equation of state (EoS) for nuclear and quark matter for a wide range in temperature, density and isospin so that it becomes applicable for heavy-ion collisions as well as for the astrophysics of…

Nuclear Theory · Physics 2016-03-23 N. -U. Bastian , D. Blaschke

The equation of state (EOS) for hot asymmetric nuclear matter which is constructed with the variational method starting from the Argonne v18 and Urbana IX nuclear forces is applied to spherically symmetric core-collapse supernovae (SNe). We…

Nuclear Theory · Physics 2014-03-05 H. Togashi , M. Takano , K. Sumiyoshi , K. Nakazato

We present a systematic approach to construct complete equations of state (EOSs), or to ensure thermodynamic consistency of complete and incomplete forms of EOSs using a minimal and sufficient set of relations. We apply the proposed…

Classical Physics · Physics 2021-05-19 Saad Benjelloun

Based on the method proposed in [ H. S. Zong, W. M. Sun, Phys. Rev. \textbf{D 78}, 054001 (2008)], we calculate the equation of state (EOS) of QCD at zero temperature and finite quark chemical potential under the hard-dense-loop (HDL)…

High Energy Physics - Phenomenology · Physics 2014-11-21 Yu Jiang , Hua Li , Shi-song Huang , Wei-min Sun , Hong-shi Zong

Equations of State (EoS) for fluids have been a staple of engineering design and practice for over a century. Available EoS are based on the fitting of a closed-form analytical expression to suitable experimental data. The underlying…

Computational Physics · Physics 2020-07-30 Kezheng Zhu , Erich A. Müller

The equation of state (EOS) of finite nuclei is constructed in the relativistic Thomas-Fermi theory using the non-linear $\sigma-\omega -\rho$ model. The caloric curves are calculated by confining the nuclei in the freeze-out volume taken…

Nuclear Theory · Physics 2009-11-06 Tapas Sil , B. K. Agrawal , J. N. De , S. K. Samaddar

The stable configurations of non-rotating and rotating hybrid stars composed of colour superconducting quark matter core are constructed using several equations of state (EOSs). We use a set of diverse EOSs for the nuclear matter which…

High Energy Astrophysical Phenomena · Physics 2010-04-06 B. K. Agrawal

By implementing widely-used equations of state (EOS) from Lattimer & Swesty (LS) and H. Shen et al. (SHEN) in core-collapse supernova simulations, we explore possible impacts of these EOS on the post-bounce dynamics prior to the onset of…

High Energy Astrophysical Phenomena · Physics 2015-03-20 Yudai Suwa , Tomoya Takiwaki , Kei Kotake , Tobias Fischer , Matthias Liebendoerfer , Katsuhiko Sato

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