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An alternative to the well-known complete form of the Mie-Gr\"uneisen equation of state (EOS) for water is suggested. A closed analytical description of the self-consistent EOS for an arbitrary medium based only on the first law of…

Fluid Dynamics · Physics 2023-05-02 Sergey G. Chefranov

We present the equation of state (EOS) of solid parahydrogen between $ 0.024 \, {\r{A}}^{-3} $ and $ 0.1 \, {\r{A}}^{-3} $ at $ T = 4.2 $ K, calculated using path-integral Monte Carlo simulations, with ab initio two-body and three-body…

Chemical Physics · Physics 2025-06-05 Alexander Ibrahim , Pierre-Nicholas Roy

We have constructed a nuclear equation of state (EOS) that includes a full nuclear ensemble for use in core-collapse supernova simulations. It is based on the EOS for uniform nuclear matter that two of the authors derived recently, applying…

High Energy Astrophysical Phenomena · Physics 2017-08-01 S. Furusawa , H. Togashi , H. Nagakura , K. Sumiyoshi , S. Yamada , H. Suzuki , M. Takano

A novel lattice Boltzmann (LB) model with self-tuning equation of state (EOS) is developed in this work for simulating coupled thermo-hydrodynamic flows. The velocity field is solved by the recently developed multiple-relaxation-time (MRT)…

Computational Physics · Physics 2019-06-26 Rongzong Huang , Huiying Wu , Nikolaus A. Adams

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

Simulations of relativistic heavy-ion collisions within the three-fluid model employing a purely hadronic equation of state (EoS) and two versions of the EoS involving deconfinement transition are presented. The latter are an EoS with the…

Nuclear Theory · Physics 2014-01-23 Yu. B. Ivanov

We investigate dense-matter equations of state (EOSs) within a Bayesian framework, with particular emphasis on whether recent small-radius compact-star candidates can be accommodated in a twin-star scenario. For the hadronic sector, we…

High Energy Astrophysical Phenomena · Physics 2026-04-24 Xieyuan Dong , Hong Shen , Jinniu Hu , Ying Zhang

Thermal equations of state (EoS) are essential in several scientific domains. However, experimental determination of EoS parameters may be limited at extreme conditions, therefore, {\it ab~initio} calculations have become an important…

Materials Science · Physics 2018-04-18 Michel L. Marcondes , Renata M. Wentzcovitch , Lucy V. C. Assali

The equation of state (EOS) of dense matter is an essential ingredient for numerical simulations of core-collapse supernovae and neutron star mergers. The properties of matter near and above nuclear saturation density are uncertain, which…

High Energy Astrophysical Phenomena · Physics 2017-12-13 Andre da Silva Schneider , Luke F. Roberts , Christian D. Ott

Stochastic and mixed stochastic-deterministic density functional theory (DFT) are promising new approaches for the calculation of the equation-of-state and transport properties in materials under extreme conditions. In the intermediate warm…

Computational Physics · Physics 2023-09-27 Vidushi Sharma , Lee A. Collins , Alexander J. White

In this paper, we give a direct method for calculating the partition function, and hence the equation of state (EOS) of Quantum Chromodynamics (QCD) at finite chemical potential and zero temperature. In the EOS derived in this paper the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hong-shi Zong , Wei-min Sun

Classical density functional theory (DFT) is a statistical mechanical theory for calculating the density profiles of the molecules in a liquid. It is widely used, for example. to calculate the density distribution of the molecules in the…

Statistical Mechanics · Physics 2015-07-08 Adam P. Hughes , Uwe Thiele , Andrew J. Archer

Understanding and designing inertial confinement fusion (ICF) implosions through radiation-hydrodynamics simulations rely on the accurate knowledge of the equation of state (EOS) of the deuterium and tritium fuels. To minimize the drive…

Materials Science · Physics 2015-05-30 S. X. Hu , B. Militzer , V. N. Goncharov , S. Skupsky

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

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…

The relationships among the pressure P, volume V, and temperature T of solid-state materials are described by their equations of state (EOSs), which are often derived from the consideration of the finite-strain energy or the interatomic…

Materials Science · Physics 2016-12-19 Elijah E. Gordon , Juergen Koehler , Myung-Hwan Whangbo

Orbital-free density functional theory (OF-DFT) is a promising method for large-scale quantum mechanics simulation as it provides a good balance of accuracy and computational cost. Its applicability to large-scale simulations has been aided…

A thermodynamic equation of state (EOS) for thermoelectrons is derived which is appropriate for investigating the thermodynamic variations along isobaric paths. By using this EOS and the Wu-Jing (W-J) model, an extended Hugoniot EOS model…

Other Condensed Matter · Physics 2012-03-06 H. Y. Geng , Q. Wu , H. Tan , L. Cai , F. Jing

The equation of state (EOS) is of utmost importance for the description of the hydrodynamic phase of strongly interacting matter in relativistic heavy-ion collisions. Lattice QCD can provide useful information on the EOS, mainly for small…

High Energy Physics - Phenomenology · Physics 2008-03-12 R. Schulze , M. Bluhm , B. Kampfer

The nuclear equation of state (EOS) is at the center of numerous theoretical and experimental efforts in nuclear physics. With advances in microscopic theories for nuclear interactions, the availability of experiments probing nuclear matter…

Nuclear Theory · Physics 2024-01-29 Agnieszka Sorensen , Kshitij Agarwal , Kyle W. Brown , Zbigniew Chajęcki , Paweł Danielewicz , Christian Drischler , Stefano Gandolfi , Jeremy W. Holt , Matthias Kaminski , Che-Ming Ko , Rohit Kumar , Bao-An Li , William G. Lynch , Alan B. McIntosh , William G. Newton , Scott Pratt , Oleh Savchuk , Maria Stefaniak , Ingo Tews , ManYee Betty Tsang , Ramona Vogt , Hermann Wolter , Hanna Zbroszczyk , Navid Abbasi , Jörg Aichelin , Anton Andronic , Steffen A. Bass , Francesco Becattini , David Blaschke , Marcus Bleicher , Christoph Blume , Elena Bratkovskaya , B. Alex Brown , David A. Brown , Alberto Camaiani , Giovanni Casini , Katerina Chatziioannou , Abdelouahad Chbihi , Maria Colonna , Mircea Dan Cozma , Veronica Dexheimer , Xin Dong , Travis Dore , Lipei Du , José A. Dueñas , Hannah Elfner , Wojciech Florkowski , Yuki Fujimoto , Richard J. Furnstahl , Alexandra Gade , Tetyana Galatyuk , Charles Gale , Frank Geurts , Fabiana Gramegna , Sašo Grozdanov , Kris Hagel , Steven P. Harris , Wick Haxton , Ulrich Heinz , Michal P. Heller , Or Hen , Heiko Hergert , Norbert Herrmann , Huan Zhong Huang , Xu-Guang Huang , Natsumi Ikeno , Gabriele Inghirami , Jakub Jankowski , Jiangyong Jia , José C. Jiménez , Joseph Kapusta , Behruz Kardan , Iurii Karpenko , Declan Keane , Dmitri Kharzeev , Andrej Kugler , Arnaud Le Fèvre , Dean Lee , Hong Liu , Michael A. Lisa , William J. Llope , Ivano Lombardo , Manuel Lorenz , Tommaso Marchi , Larry McLerran , Ulrich Mosel , Anton Motornenko , Berndt Müller , Paolo Napolitani , Joseph B. Natowitz , Witold Nazarewicz , Jorge Noronha , Jacquelyn Noronha-Hostler , Grażyna Odyniec , Panagiota Papakonstantinou , Zuzana Paulínyová , Jorge Piekarewicz , Robert D. Pisarski , Christopher Plumberg , Madappa Prakash , Jørgen Randrup , Claudia Ratti , Peter Rau , Sanjay Reddy , Hans-Rudolf Schmidt , Paolo Russotto , Radoslaw Ryblewski , Andreas Schäfer , Björn Schenke , Srimoyee Sen , Peter Senger , Richard Seto , Chun Shen , Bradley Sherrill , Mayank Singh , Vladimir Skokov , Michał Spaliński , Jan Steinheimer , Mikhail Stephanov , Joachim Stroth , Christian Sturm , Kai-Jia Sun , Aihong Tang , Giorgio Torrieri , Wolfgang Trautmann , Giuseppe Verde , Volodymyr Vovchenko , Ryoichi Wada , Fuqiang Wang , Gang Wang , Klaus Werner , Nu Xu , Zhangbu Xu , Ho-Ung Yee , Sherry Yennello , Yi Yin