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We develop a non-parametric method for inferring the universal neutron star (NS) equation of state (EOS) from gravitational wave (GW) observations. Many different possible realizations of the EOS are generated with a Gaussian process…

General Relativity and Quantum Cosmology · Physics 2019-05-08 Philippe Landry , Reed Essick

The Noh verification test problem is extended beyond the commonly studied ideal gamma-law gas to more realistic equations of state (EOSs) including the stiff gas, the Noble-Abel gas, and the Carnahan-Starling EOS for hard-sphere fluids.…

Fluid Dynamics · Physics 2018-03-20 Sarah C. Burnett , Kevin G. Honnell , Scott D. Ramsey , Robert L. Singleton

Different equations of state (EOS) have been used to study pressure as a function of volume compressions at a given temperature. The critical test of EOS' for solids under low compressions (<10GPa) by evaluating the pressure-volume…

Materials Science · Physics 2012-07-11 S. Gaurav , S. Shankar Subramanian , Satyendra P. Singh , B. S. Sharma

We generate the equation of state (EOS) of solid parahydrogen using a path-integral Monte Carlo (PIMC) simulation based on a highly accurate first-principles adiabatic hindered rotor (AHR) potential energy curve for the parahydrogen dimer.…

Chemical Physics · Physics 2025-06-05 Alexander Ibrahim , Lecheng Wang , Tom Halverson , Robert J Le Roy , Pierre-Nicholas Roy

Using a multiple-image reconstruction method applied to a harmonically trapped Bose gas, we determine the equation of state of uniform matter across the critical transition point, within the local density approximation. Our experimental…

Quantum Gases · Physics 2020-10-14 C. Mordini , D. Trypogeorgos , A. Farolfi , L. Wolswijk , S. Stringari , G. Lamporesi , G. Ferrari

We generate a new complete equation of state (EOS) of nuclear matter for a wide range of temperatures, densities, and proton fractions ready for use in astrophysical simulations of supernovae and neutron star mergers. Our previous two…

Solar and Stellar Astrophysics · Physics 2015-03-17 G. Shen , C. J. Horowitz , S. Teige

All the existing entropy stable (ES) schemes for relativistic hydrodynamics (RHD) in the literature were restricted to the ideal equation of state (EOS), which however is often a poor approximation for most relativistic flows due to its…

Numerical Analysis · Mathematics 2024-09-18 Linfeng Xu , Shengrong Ding , Kailiang Wu

We study the existence and properties of the non-equilibrium steady state which arises by putting two copies of systems at different temperatures into a thermal contact. We solve the problem for the relativistic systems that are described…

Statistical Mechanics · Physics 2016-03-23 Razieh Pourhasan

There is introduced a class of barotropic equations of state (EOS) which become polytropic of index $n = 5$ at low pressure. One then studies asymptotically flat solutions of the static Einstein equations coupled to perfect fluids having…

General Relativity and Quantum Cosmology · Physics 2009-10-31 R. Beig , M. Karadi

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

Equations of state (EOS) calculated from a computationally efficient atom-in-jellium treatment of the electronic structure have recently been shown to be consistent with more rigorous path integral Monte Carlo (PIMC) and quantum molecular…

We use analytic perturbation theory to present a new approximate metric for a rigidly rotating perfect fluid source with equation of state (EOS) $\epsilon+(1-n)p=\epsilon_0$. This EOS includes the interesting cases of strange matter,…

General Relativity and Quantum Cosmology · Physics 2013-04-15 Javier E. Cuchí , Antonio Gil-Rivero , Alfred Molina , Eduardo Ruiz

We study two recently proposed equations of state (EOS) which are obtained from high temperature QCD, and show how they can be adapted to use them for making predictions for relativistic heavy ion collisions. The method involves extracting…

Nuclear Theory · Physics 2014-11-18 Vinod Chandra , Ravindra Kumar , V. Ravishankar

Water is one of the key chemical elements in planetary structure modelling. Due to its complex phase diagram, equations of state cover often only parts of the pressure - temperature space needed in planetary modelling. We construct an…

Earth and Planetary Astrophysics · Physics 2020-11-11 Jonas Haldemann , Yann Alibert , Christoph Mordasini , Willy Benz

An integrated Equation of State (EOS) and strength/pore-crush/damage model framework is provided for modeling near to source (near-field) ground-shock response, where large deformations and pressures necessitate coupling EOS with…

Computational Engineering, Finance, and Science · Computer Science 2024-03-08 Kane C. Bennett , Alyson M. Stahl , Thomas R. Canfield , Garrett G. Euler

The viability of the variable generalised Chaplygin gas (VGCG) model is analysed from the standpoint of its thermodynamical stability criteria with the help of an equation of state, $P = - \frac{B}{\rho^{\alpha}}$, where $B =…

General Relativity and Quantum Cosmology · Physics 2017-02-17 D. Panigrahi , S. Chatterjee

We calculate a new equation of state for baryons at sub-nuclear densities meant for the use in core-collapse simulations of massive stars. The abundance of various nuclei is obtained together with the thermodynamic quantities. The…

High Energy Astrophysical Phenomena · Physics 2015-05-27 Shun Furusawa , Shoichi Yamada , Kohsuke Sumiyoshi , Hideyuki Suzuki

In this paper we have studied Van-Der-Waals fluid system with the generalized EOS as as discussed in the recent works of Kremer, G.M [1, 4], Vardiashvili, G [2], Jantsch, R.C [3], Capozziello, S [5]. and are functions of energy density and…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Alokananda Kar , Shouvik Sadhukhan , Surajit Chattopadhyay

We study equation of state (EOS) of an accreting neutron star crust. Usually, such EOS is obtained assuming (implicitly) that the free (unbound) neutrons and nuclei in the inner crust move together. We argue, that this assumption violates…

High Energy Astrophysical Phenomena · Physics 2020-05-20 Mikhail E. Gusakov , Andrey I. Chugunov

The well-known Carnahan-Starling (CS) equation of state (EoS) [1] for the hard sphere (HS) fluid was derived from a quadratic relation between the integer portions of the virial coefficients, Bn, and their orders, n. Here we extend the…

Soft Condensed Matter · Physics 2021-06-02 Hongqin Liu