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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

The equation of state (EOS) in the limit of infinite symmetric nuclear matter exhibits an equilibrium density, $n_0 \approx 0.16 \, \mathrm{fm}^{-3}$, at which the pressure vanishes and the energy per particle attains its minimum, $E_0…

Nuclear Theory · Physics 2024-10-29 C. Drischler , P. G. Giuliani , S. Bezoui , J. Piekarewicz , F. Viens

The departure from ideal gas behavior is described by several known equations of state (EoS), developed from a combination of theoretical considerations and experimental correlations. In this work a different approach is proposed, in which…

Statistical Mechanics · Physics 2011-03-31 D. Giusti , V. Molinari , D. Mostacci

Numerical simulations of high energy-density experiments require equation of state (EOS) models that relate a material's thermodynamic state variables -- specifically pressure, volume/density, energy, and temperature. EOS models are…

Data Analysis, Statistics and Probability · Physics 2024-02-26 Himanshu Sharma , Jim A. Gaffney , Dimitrios Tsapetis , Michael D. Shields

The cold, dense matter equation of state (EoS) determines crucial global properties of neutron stars (NSs), including the mass, radius and tidal deformability. However, a one-dimensional (1D), cold, and $\beta$-equilibrated EoS is…

High Energy Astrophysical Phenomena · Physics 2025-12-10 Zhenyu Zhu , Shuai Zha , Sophia Han

Quantum molecular dynamic simulations have been employed to study the equation of state (EOS) of fluid helium under shock compressions. The principal Hugoniot is determined from EOS, where corrections from atomic ionization are added onto…

Materials Science · Physics 2010-10-28 Cong Wang , Xian-Tu He , Ping Zhang

In astrophysics as well as in hadron physics progress has recently been made on the determination of the hadronic equation of state (EOS) of compressed matter. The results are contradictory, however. Simulations of heavy ion reactions are…

Nuclear Theory · Physics 2009-11-11 Ch. Hartnack , H. Oeschler , Jörg Aichelin

A simple optimization scheme is used to compute the density-density response function of an electron liquid. Higher order terms in the perturbation expansion beyond the random phase approximation are summed approximately by enforcing the…

Materials Science · Physics 2015-01-16 James P. Donley

Starting from a realistic constituent quark model for the nucleon-nucleon interaction, we derive the equation of state (EOS) of nuclear matter within the Bethe-Brueckner-Goldstone approach up to three-hole-line level, without need to…

Nuclear Theory · Physics 2015-12-23 K. Fukukawa , M. Baldo , G. F. Burgio , L. Lo Monaco , H. -J. Schulze

The functional-renormalization-group aided density-functional theory (FRG-DFT) is applied to the two-dimensional homogeneous electron gas (2DHEG). The correlation energy of the 2DHEG is derived as a function of the Wigner-Seitz radius $…

Strongly Correlated Electrons · Physics 2019-03-13 Takeru Yokota , Tomoya Naito

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

This work presents a new class of hybrid density functional theory (DFT) approximations, incorporating nonlocal exact exchange in predefined states such as core atomic orbitals (AOs). These projected hybrid density functionals are a…

Chemical Physics · Physics 2023-05-16 Benjamin G. Janesko

Two microscopic models, UrQMD and QGSM, are used to extract the effective equation of state (EOS) of locally equilibrated nuclear matter produced in heavy-ion collisions at energies from 11.6 AGeV to 160 AGeV. Analysis is performed for the…

High Energy Physics - Phenomenology · Physics 2010-01-15 E. Zabrodin , I. C. Arsene , J. Bleibel , M. Bleicher , L. V. Bravina , G. Burau , Amand Faessler , C. Fuchs , M. S. Nilsson , K. Tywoniuk , H. Stoecker

In this article the role of the supersaturation density equation of state (EOS) is explored in simulations of failed core-collapse supernova explosions. Therefore the nuclear EOS is extended via a one-parameter excluded volume description…

High Energy Astrophysical Phenomena · Physics 2016-04-07 Tobias Fischer

The Equation of State (EoS) of dense matter represents a central issue in the study of compact astrophysical objects and heavy ion reactions at intermediate and relativistic energies. We have derived a nuclear EoS with nucleons and hyperons…

Nuclear Theory · Physics 2008-11-26 Fiorella Burgio

An analytical model describing the vibrational phonon density of states (VDOS) of liquids has long been elusive, mainly due to the difficulty in dealing with the imaginary modes dominant in the low-energy region, as described by the…

Soft Condensed Matter · Physics 2022-04-06 Caleb Stamper , David Cortie , Zengji Yue , Xiaolin Wang , Dehong Yu

We propose a data-driven method to describe consistent equations of state (EOS) for arbitrary systems. Complex EOS are traditionally obtained by fitting suitable analytical expressions to thermophysical data. A key aspect of EOS are that…

Computational Physics · Physics 2022-04-04 David Rosenberger , Kipton Barros , Timothy C. Germann , Nicholas Lubbers

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…

Intensive search for a proper and realistic equations of state (EOS) is still continued for studying the phase diagram existing between quark gluon plasma (QGP) and hadron gas (HG) phases. Lattice calculations provide such EOS for the…

High Energy Physics - Phenomenology · Physics 2012-06-12 P. K. Srivastava , C. P. Singh

The low density nuclear matter equation of state is strongly constrained by nuclear properties, however, for constraining the high density equation of state it is necessary to resort to indirect information obtained from the observation of…

Nuclear Theory · Physics 2021-10-04 Márcio Ferreira , Constança Providência