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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

We study the equation of state (EOS) of nuclear matter as function of density. We expand the energy per particle (E/A) of symmetric infinite nuclear matter in powers of the density to take into account 2,3,. . .,N-body forces. New EOS are…

Nuclear Theory · Physics 2015-05-19 Ruslan Magana , Hua Zhenga , Aldo Bonasera

We investigate the properties of nuclear matter at the first-order phase transitions such as liquid-gas phase transition and hadron-quark phase transition. As a general feature of the first-order phase transitions of matter consisting of…

Nuclear Theory · Physics 2011-03-10 Toshiki Maruyama , Nobutoshi Yasutake , Toshitaka Tatsumi

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

In a finite temperature Thomas-Fermi framework, we calculate density distributions of hot nuclei enclosed in a freeze-out volume of few times the normal nuclear volume and then construct the caloric curve, with and without inclusion of…

Nuclear Theory · Physics 2009-10-30 J. N. De , S. K. Samaddar , S. Shlomo

We construct the equation of state (EOS) of dense matter covering a wide range of temperature, proton fraction, and density for the use of core-collapse supernova simulations. The study is based on the relativistic mean-field (RMF) theory,…

High Energy Astrophysical Phenomena · Physics 2012-03-26 H. Shen , H. Toki , K. Oyamatsu , K. Sumiyoshi

The equation of state (EOS) of dense matter is an essential ingredient for numerical simulations of core-collapse supernovae and neutron star mergers. The properties of matter near and above nuclear saturation density are uncertain, which…

High Energy Astrophysical Phenomena · Physics 2017-12-13 Andre da Silva Schneider , Luke F. Roberts , Christian D. Ott

The limiting temperature $T_{lim}$ of a series of nuclei is calculated employing a set of microscopic nuclear Equations of State (EoS). It is shown that the value of $T_{lim}$ is sensitive to the nuclear matter Equation of State used.…

Nuclear Theory · Physics 2009-11-10 M. Baldo , L. S. Ferreira , O. E. Nicotra

We construct the equation of state (EOS) of nuclear matter using the relativistic mean field (RMF) theory in the wide density, temperature range with various proton fractions for the use of supernova simulation and the neutron star…

Nuclear Theory · Physics 2009-10-31 H. Shen , H. Toki , K. Oyamatsu , K. Sumiyoshi

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 construct the equation of state (EOS) in a wide density range for neutron stars using the relativistic mean field theory. The properties of neutron star matter with both uniform and non-uniform distributions are studied consistently. The…

Nuclear Theory · Physics 2009-11-07 H. Shen

We construct the equation of state (EOS) of nuclear matter at finite temperature and density with various proton fractions within the relativistic mean field (RMF) theory for the use in the supernova simulations. The Thomas-Fermi…

Nuclear Theory · Physics 2009-10-31 H. Shen , H. Toki , K. Oyamatsu , K. Sumiyoshi

Equation of state (EOS) describes the thermodynamic properties of substances. It has important applications in many fields such as power mechanics, geophysics, astrophysics, and detonation physics. Currently, most EOSs have been constructed…

Statistical Mechanics · Physics 2021-07-15 Ti-Wei Xue , Zeng-Yuan Guo

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

A statistical model for the equation of state (EOS) and the composition of supernova matter is presented with focus on the liquid-gas phase transition of nuclear matter. It consists of an ensemble of nuclei and interacting nucleons in…

Nuclear Theory · Physics 2012-11-27 Matthias Hempel , Jürgen Schaffner-Bielich

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

We construct a new class of phenomenological equations of state for homogeneous matter for use in simulations of hot and dense matter in local thermodynamic equilibrium. We construct a functional form which respects experimental,…

Nuclear Theory · Physics 2019-02-20 Xingfu Du , Andrew W. Steiner , Jeremy W. Holt

In a finite temperature Thomas-Fermi theory with realistic nuclear interactions, we construct caloric curves for finite nuclei enclosed in a sphere of about $4 - 8$ times the normal nuclear volume. The specific heat capacity $C_v$ shows a…

Nuclear Theory · Physics 2009-09-25 J. N. De , S. Das Gupta , S. Shlomo , S. K. Samaddar

The impact of matter properties at subnuclear densities on the evolution of protoneutron stars is investigated. Several models of nuclear equation of state (EOS) are constructed with varying saturation parameters, particularly the symmetry…

High Energy Astrophysical Phenomena · Physics 2025-12-25 Ken'ichiro Nakazato , Hajime Togashi , Kohsuke Sumiyoshi , Hideyuki Suzuki

We have constructed a nuclear equation of state (EOS) that includes a full nuclear ensemble for use in core-collapse supernova simulations. It is based on the EOS for uniform nuclear matter that two of the authors derived recently, applying…

High Energy Astrophysical Phenomena · Physics 2017-08-01 S. Furusawa , H. Togashi , H. Nagakura , K. Sumiyoshi , S. Yamada , H. Suzuki , M. Takano
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