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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

NICER has enabled mass-radius inferences for pulsars using pulse profile modeling (PPM), providing constraints on the equation of state (EOS) of cold, dense matter. To date, PPM and EOS inference have been carried out as two separate steps,…

The equation of state (EoS) of hot and dense matter is a fundamental input to describe static and dynamical properties of neutron stars, core-collapse supernovae and binary compact-star mergers. We review the current status of the EoS for…

Nuclear Theory · Physics 2019-03-06 G. Fiorella Burgio , Anthea F. Fantina

Macroscale continuum mechanics simulations rely on material properties stemming from the microscale, which are normally described using phenomenological equations of state (EOS). A method is proposed for the automatic generation of…

Computational Physics · Physics 2020-01-01 Oliver Strickson , Nikos Nikiforakis , Emilio Artacho

We investigate the influence of the effective nucleon mass on the equation of state (EOS), which is constructed for simulations of core-collapse supernovae and binary neutron star mergers, within the relativistic mean-field (RMF) framework.…

Nuclear Theory · Physics 2025-02-19 Shuying Li , Junbo Pang , Hong Shen , Jinniu Hu , Kohsuke Sumiyoshi

We propose a data-driven method to describe consistent equations of state (EOS) for arbitrary systems. Complex EOS are traditionally obtained by fitting suitable analytical expressions to thermophysical data. A key aspect of EOS are that…

Computational Physics · Physics 2022-04-04 David Rosenberger , Kipton Barros , Timothy C. Germann , Nicholas Lubbers

In this paper, we generalize the improved quasi-particle model proposed in J. Cao et al., [ Phys. Lett. B {\bf711}, 65 (2012)] from finite temperature and zero chemical potential to the case of finite chemical potential and zero…

High Energy Physics - Phenomenology · Physics 2013-11-20 Liu-jun Luo , Jing Cao , Yan Yan , Wei-Min Sun , Hong-Shi Zong

We construct four equation of state (EoS) tables, tabulated over a range of temperatures, densities, and charge fractions, relevant for neutron star applications such as simulations of neutron star mergers. The EoS are computed from a…

Nuclear Theory · Physics 2023-11-21 Mark G. Alford , Liam Brodie , Alexander Haber , Ingo Tews

Gaussian processes provide a promising framework by which to extrapolate the equation of state (EoS) of cold, catalyzed matter beyond $1-2$ times nuclear saturation density. Here we discuss how to extend Gaussian processes to include…

High Energy Astrophysical Phenomena · Physics 2023-02-17 Debora Mroczek , M. Coleman Miller , Jacquelyn Noronha-Hostler , Nicolas Yunes

In this article the role of the supersaturation density equation of state (EOS) is explored in simulations of failed core-collapse supernova explosions. Therefore the nuclear EOS is extended via a one-parameter excluded volume description…

High Energy Astrophysical Phenomena · Physics 2016-04-07 Tobias Fischer

Computer models are used as a way to explore complex physical systems. Stationary Gaussian process emulators, with their accompanying uncertainty quantification, are popular surrogates for computer models. However, many computer models are…

Methodology · Statistics 2024-11-25 Faezeh Yazdi , Derek Bingham , Daniel Williamson

We explore constraints on the equation of state (EOS) of neutron-rich matter based on microscopic calculations up to nuclear densities and observations of neutron stars. In a previous work we showed that predictions based on modern nuclear…

High Energy Astrophysical Phenomena · Physics 2020-10-08 S. K. Greif , K. Hebeler , J. M. Lattimer , C. J. Pethick , A. Schwenk

Stochastic thermodynamics is formulated under the assumption of perfect knowledge of all thermodynamic parameters. However, in any real-world experiment, there is non-zero uncertainty about the precise value of temperatures, chemical…

Statistical Mechanics · Physics 2024-01-11 Jan Korbel , David H. Wolpert

We present a multiscale simulation framework that couples the Finite Element Method with molecular dynamics. Bypassing traditional equations of state (EOS) by using in-line atomistic simulations, the method offers the advantage of…

Turbulent flows are of central importance across applications in science and engineering problems. For design and analysis, scientists and engineers use Computational Fluid Dynamics (CFD) simulations using turbulence models. Turbulent…

Fluid Dynamics · Physics 2023-10-18 Minghan Chu , Weicheng Qian

Computational models of complex physical systems often rely on simplifying assumptions which inevitably introduce model error, with consequent predictive errors. Given data on model observables, the estimation of parameterized model-error…

Methodology · Statistics 2026-02-23 Mridula Kuppa , Khachik Sargsyan , Marco Panesi , Habib N. Najm

The cores of neutron stars (NSs) contain the densest matter in the universe. Rapid advancements in neutron-star observations allow unprecedented empirical access to cold, ultra-dense Quantum Chromodynamics (QCD) matter. The combination of…

High Energy Astrophysical Phenomena · Physics 2025-06-10 Oleg Komoltsev

Quantifying the impact of parametric and model-form uncertainty on the predictions of stochastic models is a key challenge in many applications. Previous work has shown that the relative entropy rate is an effective tool for deriving…

Probability · Mathematics 2020-09-04 Jeremiah Birrell , Markos A. Katsoulakis , Luc Rey-Bellet

Incorporation of the finite size of baryons into the equation of state (EOS) of a hot and dense hadron gas (HG) in a thermodynamically consistent manner has been a much studied problem. We first review its current status. Various models…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Mishra , C. P. Singh

Surrogate modeling and uncertainty quantification tasks for PDE systems are most often considered as supervised learning problems where input and output data pairs are used for training. The construction of such emulators is by definition a…

Computational Physics · Physics 2019-06-26 Yinhao Zhu , Nicholas Zabaras , Phaedon-Stelios Koutsourelakis , Paris Perdikaris