English
Related papers

Related papers: Learning thermodynamically constrained equations o…

200 papers

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…

Our knowledge of the properties of dense nuclear matter is usually obtained indirectly via nuclear experiments, astrophysical observations, and nuclear theory calculations. Advancing our understanding of the nuclear equation of state (EOS,…

Nuclear Theory · Physics 2023-05-29 Yongjia Wang , Qingfeng Li

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

Over the past decade, an abundance of information from neutron-star observations, nuclear experiments and theory has transformed our efforts to elucidate the properties of dense matter. However, at high densities relevant to the cores of…

High Energy Astrophysical Phenomena · Physics 2025-10-10 Sunny Ng , Isaac Legred , Lami Suleiman , Philippe Landry , Lyla Traylor , Jocelyn Read

Numerical simulations of compressible fluid flows require an equation of state (EOS) to relate the thermodynamic variables of density, internal energy, temperature, and pressure. A valid EOS must satisfy the thermodynamic conditions of…

Computational Physics · Physics 2009-11-11 Gary A. Dilts

A physics-constrained Gaussian Process regression framework is developed for predicting shocked material states along the Hugoniot curve using data from a small number of shockwave simulations. The proposed Gaussian process employs a…

Computational Engineering, Finance, and Science · Computer Science 2026-01-13 George D. Pasparakis , Himanshu Sharma , Rushik Desai , Chunyu Li , Alejandro Strachan , Lori Graham-Brady , Michael D. Shields

We discuss the machine-learning inference and uncertainty quantification for the equation of state (EoS) of the neutron star (NS) matter directly using the NS probability distribution from the observations. We previously proposed a…

Nuclear Theory · Physics 2024-02-02 Yuki Fujimoto , Kenji Fukushima , Syo Kamata , Koichi Murase

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…

A new equation of state (EOS) is developed for porous materials in which contribution of electrons is considered explicitly. This EOS describes anomalous behaviour of hugoniot of porous substances as observed experimentally. Using this EOS,…

Materials Science · Physics 2014-09-29 Bishnupriya Nayak

We perform a Bayesian inference of the dense-matter equation of state (EOS) within a unified framework that incorporates hadronic matter, quark matter, and a smooth hadron-to-quark crossover. The EOS is constrained using physical…

Nuclear Theory · Physics 2026-05-11 Xavier Grundler , Bao-An Li

A physics-informed machine learning model, in the form of a multi-output Gaussian process, is formulated using the Euler-Bernoulli beam equation. Given appropriate datasets, the model can be used to regress the analytical value of the…

Machine Learning · Statistics 2023-08-08 Gledson Rodrigo Tondo , Sebastian Rau , Igor Kavrakov , Guido Morgenthal

We discuss three new equations of state (EOS) in core-collapse supernova simulations. The new EOS are based on the nuclear statistical equilibrium model of Hempel and Schaffner-Bielich (HS), which includes excluded volume effects and…

High Energy Astrophysical Phenomena · Physics 2012-11-26 Matthias Hempel , Tobias Fischer , Jürgen Schaffner-Bielich , Matthias Liebendörfer

Reliable models of the thermodynamic properties of materials are critical for industrially relevant applications that require a good understanding of equilibrium phase diagrams, thermal and chemical transport, and microstructure evolution.…

Materials Science · Physics 2018-09-21 Noah H. Paulson , Elise Jennings , Marius Stan

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 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

Liquid metals at extreme pressures and temperatures are widely interested in the high-pressure community. Based on density functional theory molecular dynamics, we conduct first-principles investigations on the equation of state (EOS) and…

Materials Science · Physics 2020-11-06 Shuai Zhang , Miguel A. Morales

We report a theoretical equation of state (EOS) table for boron across a wide range of temperatures (5.1$\times$10$^4$-5.2$\times$10$^8$ K) and densities (0.25-49 g/cm$^3$), and experimental shock Hugoniot data at unprecedented high…

A central open problem in nuclear physics is the determination of a physically robust equation of state (EoS) for dense nuclear matter, which directly informs our understanding of the internal composition and macroscopic properties of…

Nuclear Theory · Physics 2025-12-08 I. Stergakis , Th. Diakonidis , Ch. C. Moustakidis

The equation of state (EoS) of strongly interacting matter at finite temperature and chemical potentials (baryon, charge, and strangeness) is a crucial input for hydrodynamic simulations of relativistic heavy-ion collisions. We construct a…

Nuclear Theory · Physics 2026-04-27 Fu-Peng Li , Long-Gang Pang , Guang-You Qin

The recent development of techniques for laser-driven shock compression of hydrogen has opened the door to the experimental determination of its behavior under conditions characteristic of stellar and planetary interiors. The new data probe…

Astrophysics · Physics 2015-06-24 D. Saumon , G. Chabrier , D. J. Wagner , X. Xie