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Numerical simulations of high energy-density experiments require equation of state (EOS) models that relate a material's thermodynamic state variables -- specifically pressure, volume/density, energy, and temperature. EOS models are…

Data Analysis, Statistics and Probability · Physics 2024-02-26 Himanshu Sharma , Jim A. Gaffney , Dimitrios Tsapetis , Michael D. Shields

We explore the consequences of imposing robust thermodynamic constraints arising from perturbative Quantum Chromodynamics (QCD) when inferring the dense-matter equation-of-state (EOS). We find that the termination density, up to which the…

Perturbative quantum chromodynamics (pQCD), while valid only at densities exceeding those found in the cores of neutron stars, could provide constraints on the dense-matter equation of state (EOS). In this work, we examine the impact of…

Nuclear Theory · Physics 2025-11-17 Eliot Finch , Isaac Legred , Katerina Chatziioannou , Reed Essick , Sophia Han , Philippe Landry

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

This study introduces a framework that employs Gaussian Processes (GPs) to develop high-fidelity equation of state (EOS) tables, essential for modeling material properties across varying temperatures and pressures. GPs offer a robust…

Materials Science · Physics 2026-04-14 Lin H. Yang , James A. Gaffney

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

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

The increasing richness of data related to cold dense matter, from laboratory experiments to neutron-star observations, requires a framework for constraining the properties of such matter that makes use of all relevant information. Here, we…

High Energy Astrophysical Phenomena · Physics 2020-01-08 M. Coleman Miller , Cecilia Chirenti , Frederick K. Lamb

We give an overview about equations of state (EOS) which are currently available for simulations of core-collapse supernovae and neutron star mergers. A few selected important aspects of the EOS, such as the symmetry energy, the maximum…

Nuclear Theory · Physics 2017-03-29 Matthias Hempel , Micaela Oertel , Stefan Typel , Thomas Klähn

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

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 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

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

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

Uncertainty quantification (UQ) is essential for assessing the reliability of Earth observation (EO) products. However, the extensive use of machine learning models in EO introduces an additional layer of complexity, as those models…

Machine Learning · Computer Science 2024-12-10 Yuanyuan Wang , Qian Song , Dawood Wasif , Muhammad Shahzad , Christoph Koller , Jonathan Bamber , Xiao Xiang Zhu

Bayesian model mixing (BMM) is a statistical technique that can combine constraints from different regions of an input space in a principled way. Here we extend our BMM framework for the equation of state (EOS) of strongly interacting…

Nuclear Theory · Physics 2025-05-27 A. C. Semposki , C. Drischler , R. J. Furnstahl , D. R. Phillips

Neutron stars provide a unique laboratory for studying matter at extreme pressures and densities. While there is no direct way to explore their interior structure, X-rays emitted from these stars can indirectly provide clues to the equation…

High Energy Astrophysical Phenomena · Physics 2023-02-15 Delaney Farrell , Pierre Baldi , Jordan Ott , Aishik Ghosh , Andrew W. Steiner , Atharva Kavitkar , Lee Lindblom , Daniel Whiteson , Fridolin Weber

Transitions between different states of matter and their thermodynamic properties are described by the Equation of State (EoS). A universal representation of the EoS of Quantum Chromodynamics (QCD) for the wide range of phase diagram has…

High Energy Physics - Phenomenology · Physics 2023-08-22 Maria Stefaniak , Klaus Werner , Johannes Jahan , Hanna Zbroszczyk

Equations of State (EoS) for fluids have been a staple of engineering design and practice for over a century. Available EoS are based on the fitting of a closed-form analytical expression to suitable experimental data. The underlying…

Computational Physics · Physics 2020-07-30 Kezheng Zhu , Erich A. Müller

The equation of state (EOS) of cold dense matter is a central open problem in nuclear astrophysics. Its inference is hindered by the lack of \textit{ab initio} control above about twice nuclear saturation density, requiring extrapolation.…

High Energy Astrophysical Phenomena · Physics 2026-05-18 Bhaskar Biswas
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