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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

Starting with a brief introduction into the basics of relativistic fluid dynamics, I discuss our current knowledge of a relativistic theory of fluid dynamics in the presence of (mostly shear) viscosity. Derivations based on the generalized…

High Energy Physics - Phenomenology · Physics 2010-03-02 Paul Romatschke

We present modifications to the Athena++ framework to enable use of general equations of state (EOS). Part of our motivation for doing so is to model transient astrophysics phenomena, as these types of events are often not well approximated…

Instrumentation and Methods for Astrophysics · Physics 2020-05-06 Matthew S. B. Coleman

An electrohydrodynamic (EHD) flow in a point-to-ring corona configuration is investigated experimentally, analytically and via a multiphysics numerical model. The interaction between the accelerated ions and the neutral gas molecules is…

Fluid Dynamics · Physics 2019-07-30 Yifei Guan , Ravi Sankar Vaddi , Alberto Aliseda , Igor Novosselov

We present a new three-dimensional general relativistic hydrodynamics code, the Whisky code. This code incorporates the expertise developed over the past years in the numerical solution of Einstein equations and of the hydrodynamics…

General Relativity and Quantum Cosmology · Physics 2010-04-23 Luca Baiotti , Ian Hawke , Pedro J. Montero , Luciano Rezzolla

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

Equation of state (EOS) for a pure two-dimensional (2D) Bose gas exhibits a logarithmic dependence on the s-wave scattering length [L. Salasnich, Phys. Rev. Lett. 118, 130402 (2017)]. The pronounced disparity between the EOS of a 2D Bose…

Quantum Gases · Physics 2025-04-11 Xiaoran Ye , Tao Yu , Zhaoxin Liang

Simple, self-similar, analytic solutions of (1+3)-dimensional relativistic hydrodynamics are presented for ellipsoidally symmetric finite fireballs corresponding to non-central collisions of heavy ions at relativistic bombarding energies.…

Nuclear Theory · Physics 2009-11-10 T. Csorgo , L. P. Csernai , Y. Hama , T. Kodama

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

We consider the relativistic hydrodynamics of non-perfect fluids with the goal of determining a formulation that is suited for numerical integration in special-relativistic and general-relativistic scenarios. To this end, we review the…

General Relativity and Quantum Cosmology · Physics 2023-02-27 Michail Chabanov , Luciano Rezzolla , Dirk H. Rischke

A Hydro+Cascade model has been used to describe radial and elliptic flow at the SPS and successfully predicted the radial and elliptic flow measured by the both STAR and PHENIX collaborations . Furthermore, a combined description of the…

Nuclear Theory · Physics 2009-11-07 D. Teaney , J. Lauret , E. V. Shuryak

We construct a four-dimensional version of the equation of state (EoS) model NEOS, NEOS-4D, as a function of the temperature and chemical potentials of baryon, electric charge, and strangeness for the hot and dense QCD matter created in…

Nuclear Theory · Physics 2024-10-14 Akihiko Monnai , Grégoire Pihan , Björn Schenke , Chun Shen

We propose a model that describes phase transition including metastable phases present in the van der Waals Equation of State (EoS). We introduce a dynamical system that is able to depict the mass transfer between two phases, for which…

Numerical Analysis · Mathematics 2014-02-07 François James , Hélène Mathis

A general equation of state for the hard-body reference system of real fluid has been developed from first principles, statistical mechanical arguments using metric differential geometry to describe the "available volume," V0, and its…

Chemical Physics · Physics 2007-05-23 J. F. Kenney , Richard J. Petti

For the design and optimization of CO2 recovery from alcoholic fermentation processes by distillation, models for vapor-liquid equilibria (VLE) are needed. Two such thermodynamic models, the Peng-Robinson equation of state (EOS) and a model…

Chemical Physics · Physics 2015-05-13 J. Vrabec , G. K. Kedia , U. Buchhauser , R. Meyer-Pittroff , H. Hasse

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

An extension to the classical FPV model is developed for transcritical real-fluid combustion simulations in the context of finite volume, fully compressible, explicit solvers. A double-flux model is developed for transcritical flows to…

Fluid Dynamics · Physics 2017-04-11 Peter C. Ma , Daniel T. Banuti , Jean-Pierre Hickey , Matthias Ihme

We present Guangqi, a new two-dimensional, finite-volume radiation hydrodynamics code designed for high-performance astrophysical simulations. The code simultaneously resolves the hydrodynamic equations for complex equations of state (EoS)…

Instrumentation and Methods for Astrophysics · Physics 2026-02-16 Zhuo Chen , Xue-Ning Bai

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

Boyle's 1662 observation that the volume of a gas is, at constant temperature, inversely proportional to pressure, offered a prototypical example of how an equation of state (EoS) can succinctly capture key properties of a many-particle…