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Related papers: Generally applicable physics-based equation of sta…

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Features and parameters of \boiling" liquid layer, which arises under conditions of isentropic expansion of warm dense matter (WDM), are stud- ied with the use of simplest van der Waals equation of state (EOS). Advan- tage of this EOS is…

Plasma Physics · Physics 2012-09-04 Dmitry Borovikov , Igor Iosilevskiy

The equation of state (EOS) is an important issue in numerical simulation codes for relativistic hydrodynamics. We describe a code for adiabatic flows, employing an EOS which is simple and yet approximates very closely the EOS of perfect…

High Energy Astrophysical Phenomena · Physics 2011-02-17 Dongsu Ryu , Indranil Chattopadhyay , Hanbyul Jang

Equation-of-state (EOS) models underpin numerical simulations at the core of research in high energy density physics, inertial confinement fusion, laboratory astrophysics, and elsewhere. In these applications EOS models are needed that span…

Data Analysis, Statistics and Probability · Physics 2022-10-28 Jim A Gaffney , Lin Yang , Suzanne Ali

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

This paper deals with the analytic derivation of a complete equation of state (EOS) for solids from shock-wave data in the range of pressures and temperatures, attained by detonation of chemical explosives. The caloric, the thermal and the…

Materials Science · Physics 2007-05-23 Valentin Gospodinov

The hard disc system plays a fundamental role in the study of two-dimensional matters [1-3]. High-precision compressibility data from computer simulations have been reported for all the phases and phase transition regions [4-15]. In…

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

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

We have developed a new all-optical method to directly measure the pressure-volume-temperature (PVT) equation of state (EOS) of fluids and transparent solids in the diamond anvil high pressure cell by measuring the volume of the sample…

Other Condensed Matter · Physics 2024-08-16 J. E. Proctor , C. E. A. Robertson , L. J. Jones , J. Phillips , K. Watson , Y. Dabburi , B. Moss

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

This paper is concerned with a diffuse interface model for the gas-liquid phase transition. The model consists the compressible Navier-Stokes equations with van der Waals equation of state and a modified Allen-Cahn equation. The global…

Analysis of PDEs · Mathematics 2018-10-02 Qiaolin He , Ming Mei , Xiaoding Shi , Xiaoping Wang

We study characteristics of the relativistic equation of state (EOS) for collapse-driven supernovae, which is derived by relativistic nuclear many body theory. Recently the relativistic EOS table has become available as a new complete set…

Nuclear Theory · Physics 2015-06-26 K. Sumiyoshi , H. Suzuki , S. Yamada , H. Toki

We use a connection between relativistic hydrodynamics and scalar field theory to generate exact analytic solutions describing non-stationary inhomogeneous flows of the perfect fluid with one-parametric equation of state (EOS) $p =…

Mathematical Physics · Physics 2008-12-19 Maxim S. Borshch , Valery I. Zhdanov

A simple method for determining the thermal component of the EOS of solids under high pressure is proposed.Application to the interior of the Earth gives results in agreement with recent geophysical data.

Astrophysics · Physics 2009-10-31 V. Celebonovic

Rapid access to accurate equation-of-state (EOS) data is crucial in the warm-dense matter regime, as it is employed in various applications, such as providing input for hydrodynamic codes to model inertial confinement fusion processes. In…

Computational Physics · Physics 2023-12-12 Timothy J. Callow , Jan Nikl , Eli Kraisler , Attila Cangi

The Enskog--Vlasov (EV) equation is a semi-empiric kinetic model describing gas-liquid phase transitions. In the framework of the EV equation, these correspond to an instability with respect to infinitely long perturbations, developing in a…

Statistical Mechanics · Physics 2021-09-23 E. S. Benilov , M. S. Benilov

The predictive simulation of molecular liquids requires models that are not only accurate, but computationally efficient enough to handle the large systems and long time scales required for reliable prediction of macroscopic properties. We…

We present a novel one-fluid cavitation model of a specific Mie-Gr\"uneisen equation of state(EOS), named polynomial EOS, based on an artificial neural network. Not only the physics-informed equation but also the experimental data are…

Fluid Dynamics · Physics 2024-05-07 Minsheng Huang , Chengbao Yao , Pan Wang , Lidong Cheng , Wenjun Ying

The relativistic equation of state (EOS) of the Van-der-Waals gas is suggested and analyzed. In contrast to the usual case, the Lorentz contraction of the sphere's volume is taken into account. It is proven that the suggested EOS obeys the…

Nuclear Theory · Physics 2009-11-11 Kyrill A. Bugaev

Despite great efforts over the past 50 years, the simulation of water still presents significant challenges and open questions. At room temperature and pressure, the collective molecular interactions and dynamics of water molecules may form…

Chemical Physics · Physics 2022-06-22 Riccardo Capelli , Francesco Muniz-Miranda , Giovanni M. Pavan

A systematic investigation on vapor-liquid equilibria (VLE) of dipolar and quadrupolar fluids is carried out by molecular simulation to develop a new Helmholtz energy contribution for equations of state (EOS). Twelve two-center…

Chemical Physics · Physics 2009-04-30 Jadran Vrabec , J. Gross