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Equation of state (EOS) for bcc tungsten at 300 K (or 3000 K) up to 1000 GPa (or 300 GPa) was predicted for the first time by solving the partition function via a direct integral approach (DIA) with ab initio calculations of the atoms'…

Materials Science · Physics 2022-11-02 Yue-Yue Tian , Bo-Yuan Ning , X. -D. Xiang , Hui-Fen Zhang , Xi-Jing Ning

The study of Mayer's cluster expansion (CE) for the partition function demonstrates a possible way to resolve the problem of the CE non-physical behavior at condensed states of fluids. In particular, a general equation of state is derived…

Statistical Mechanics · Physics 2018-10-03 M. V. Ushcats , S. Yu. Ushcats , L. A. Bulavin , V. M. Sysoev

Radial flow observed at AGS/SPS energies is very strong, with collective velocities of matter reaching about 0.5c for central collisions of the heaviest ions. The lattice-based Equation of State (EOS) is however rather soft, due to the QCD…

High Energy Physics - Phenomenology · Physics 2009-10-31 E. V. Shuryak

We present a systematic approach to construct complete equations of state (EOSs), or to ensure thermodynamic consistency of complete and incomplete forms of EOSs using a minimal and sufficient set of relations. We apply the proposed…

Classical Physics · Physics 2021-05-19 Saad Benjelloun

A microscopic model able to describe simultaneously the dynamic viscosity and the self-diffusion coefficient of fluids is presented. This model is shown to emerge from the introduction of fractional calculus in a usual model of condensed…

Statistical Mechanics · Physics 2021-11-24 F. Aitken , F. Volino

We report the numerical observation of a far-from-equilibrium equation of state (EOS) in the Gross-Pitaevskii model. We first show that the momentum distribution of the turbulent cascade is well described by wave-turbulent kinetic theory in…

Quantum Gases · Physics 2026-05-12 Gevorg Martirosyan , Kazuya Fujimoto , Nir Navon

Non-classical non-linear waves exist in dense gases for large specific heats at pressures and temperatures of the order of critical point values. These waves behave precisely opposite to the classical non-linear waves, with inverted…

Fluid Dynamics · Physics 2025-02-14 Ramesh Kolluru , S. V. Raghurama Rao , G. N. Sekhar

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

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

Equation of state (EOS) for a pure two-dimensional (2D) Bose gas exhibits a logarithmic dependence on the s-wave scattering length [L. Salasnich, Phys. Rev. Lett. 118, 130402 (2017)]. The pronounced disparity between the EOS of a 2D Bose…

Quantum Gases · Physics 2025-04-11 Xiaoran Ye , Tao Yu , Zhaoxin Liang

Heavy-ion collision experiments offer a unique opportunity to explore the early stages of the Universe by creating matter under extreme conditions of high temperature and baryon density. The properties of such matter are governed by the…

Nuclear Theory · Physics 2025-09-12 Elena Bratkovskaya , Jörg Aichelin

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

Global microphysics models are required for the modelling of high-energy-density physics (HEDP) experiments, the improvement of which are critical to the path to inertial fusion energy. This work presents further developments to the atomic…

The Noble-Abel (NA) equation of state (EOS) is widely used in interior ballistics of guns as well as rocket propulsion computations. Its simplicity and accuracy are key points for intensive computations with hyperbolic two-phase flow models…

Analysis of PDEs · Mathematics 2024-06-19 Richard Saurel , Loann Neron

The compressibility equation of state for a multicomponent fluid of particles interacting via an infinitely narrow and deep potential, is considered within the mean spherical approximation (MSA). It is shown that for a class of models…

Statistical Mechanics · Physics 2009-11-07 Domenico Gazzillo , Achille Giacometti

The strong-field gravity in General Relativity (GR) realized in neutron stars (NSs) renders the Equation of State (EOS) $P(\varepsilon)$ of supradense neutron star (NS) matter to be essentially nonlinear and refines the upper bound for…

High Energy Astrophysical Phenomena · Physics 2024-12-12 Bao-Jun Cai , Bao-An Li

We investigate the Equation of State (EOS) of classical systems having 300 and 512 particles confined in a box with periodic boundary conditions. We show that such a system, independently on the number of particles investigated, has a…

Nuclear Theory · Physics 2009-10-28 P. Finocchiaro , M. Belkacem , T. Kubo , V. Latora , A. Bonasera

The following paper has been motivated from recent works of Kremer, G.M [1, 4], Vardiashvili, G [2], Jantsch, R.C [3], Capozziello, S [5] on Van-Der-Waals EOS cosmology. The main aim for this paper is to analyze the thermodynamics of a…

General Relativity and Quantum Cosmology · Physics 2021-10-27 Shouvik Sadhukhan , Alokananda Kar , Surajit Chattopadhyay

We introduce a general method to merge multidimensional equations of state (EoSs) by combining them in a two-fluid equilibrium statistical mixture in the grand canonical ensemble. The merged grand potential density $\omega$ is built…

Quantum molecular dynamic simulations have been employed to study the equation of state (EOS) of fluid helium under shock compressions. The principal Hugoniot is determined from EOS, where corrections from atomic ionization are added onto…

Materials Science · Physics 2010-10-28 Cong Wang , Xian-Tu He , Ping Zhang
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