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A general diffuse interface model with a realistic equation of state (e.g. Peng-Robinson equation of state) is proposed to describe the multi-component two-phase fluid flow based on the principles of the NVT-based framework which is a…

Numerical Analysis · Mathematics 2016-11-29 Jisheng Kou , Shuyu Sun

We examine the influence of the main approximations employed in density-functional theory descriptions of the solid phase of molecular hydrogen near dissociation. We consider the importance of nuclear quantum effects on equilibrium…

Materials Science · Physics 2015-06-15 M. A. Morales , J. M. McMahon , C. Pierleoni , D. M. Ceperley

A recently introduced particle-based model for fluid dynamics with continuous velocities is generalized to model fluids with excluded volume effects. This is achieved through the use of biased stochastic multi-particle collisions which…

Soft Condensed Matter · Physics 2007-05-23 Erkan Tuzel , Thomas Ihle , Daniel M. Kroll

We present a simple proof of the stability of the hydrogen molecule $(M^+M^+m^-m^-)$. It does not rely on the proton-to-electron mass ratio $M/m$ being very large, and actually holds for arbitrary values of $M/m$. Some asymmetric molecules…

chem-ph · Physics 2009-10-22 Jean-Marc Richard

The phase diagram of water harbours many mysteries: some of the phase boundaries are fuzzy, and the set of known stable phases may not be complete. Starting from liquid water and a comprehensive set of 50 ice structures, we compute the…

Statistical Mechanics · Physics 2021-01-27 Aleks Reinhardt , Bingqing Cheng

A new equation of state for argon has been developed in view to extend the range of validity of the equation of state previously proposed by Tegeler et al. (Ref. 4) and to obtain a better physical description of the experimental…

Statistical Mechanics · Physics 2024-04-25 F. Aitken , A. Denat , F. Volino

Wide range equation of state (EOS) for liquid hydrogen is ultimately built by combining two kinds of density functional theory (DFT) molecular dynamics simulations, namely, first-principles molecular dynamics simulations and orbital-free…

Materials Science · Physics 2015-06-16 Cong Wang , Ping Zhang

The article is devoted to numerical studies of atomic (metal) hydrogen with Path Integral Monte Carlo (PIMC) technique. The research is focused on the range of temperatures and densities where quantum statistics effects are crucial for…

Other Condensed Matter · Physics 2013-04-10 Alexander Novoselov , Oleg Pavlovsky , Maxim Ulybyshev

Phase I of hydrogen has several peculiarities. Despite having a close-packed crystal structure, it is less dense than either the low temperature Phase II or the liquid phase. At high pressure, it transforms into either phase III or IV,…

Computational Physics · Physics 2016-05-17 Ioan B Magdau , Floris Balm , Graeme J Ackland

In this paper, we consider a diffuse-interface gas-liquid two-phase flow model with inhomogeneous temperatures, in which we employ the Peng-Robinson equation of state and the temperature-dependent influence parameter instead of the van der…

Numerical Analysis · Mathematics 2018-08-01 Jisheng Kou , Shuyu Sun

A general equation of state for the hard-body reference system of real fluid has been developed from first principles, statistical mechanical arguments using metric differential geometry to describe the "available volume," V0, and its…

Chemical Physics · Physics 2007-05-23 J. F. Kenney , Richard J. Petti

A thermodynamically consistent mathematical model for hydrogen adsorption in metal hydrides is proposed. Beside hydrogen diffusion, the model accounts for phase transformation accompanied by hysteresis, swelling, temperature and heat…

Mathematical Physics · Physics 2013-09-13 Tomas Roubicek , Giuseppe Tomassetti

We construct a new class of phenomenological equations of state for homogeneous matter for use in simulations of hot and dense matter in local thermodynamic equilibrium. We construct a functional form which respects experimental,…

Nuclear Theory · Physics 2019-02-20 Xingfu Du , Andrew W. Steiner , Jeremy W. Holt

A thermodynamically consistent particle-based model for fluid dynamics with continuous velocities and a non-ideal equation of state is presented. Excluded volume interactions are modeled by means of biased stochastic multiparticle…

Soft Condensed Matter · Physics 2009-11-11 Thomas Ihle , Erkan Tuzel , Daniel M. Kroll

A general expression is obtained for the matrix element of an m-body operator between coherent states constructed from multiple orthogonal coherent boson species. This allows the coherent state formalism to be applied to states possessing…

Mathematical Physics · Physics 2008-11-26 M. A. Caprio

As a first step toward a multi-phase equation of state for dense water, we develop a temperature-dependent equation of state for dense water covering the liquid and plasma regimes and extending to the super-ionic and gas regimes. This…

Earth and Planetary Astrophysics · Physics 2021-08-31 S. Mazevet , A. Licari , G. Chabrier , A. Y. Potekhin

The rapid emergence of hydrogen in long-term energy strategies requires a broad understanding on how hydrogen is currently modelled in national energy system models. This study provides a review on hydrogen representation within selected…

Physics and Society · Physics 2025-02-18 Muhammad Maladoh Bah , Sheng Wang , Mohsen Kia , Andrew Keane , Terence O'Donnell

The equation of state for quark-gluon plasma is obtained, being valid for arbitrary values of the coupling parameter and of temperature. This equation is constructed from perturbative expansions for free energy and for renormalization…

High Energy Physics - Phenomenology · Physics 2007-05-23 V. I. Yukalov , E. P. Yukalova

Accurate knowledge of the properties of hydrogen at high compression is crucial for astrophysics (e.g. planetary and stellar interiors, brown dwarfs, atmosphere of compact stars) and laboratory experiments, including inertial confinement…

The long-standing problem of finding coherent states for the (bound state portion of the) hydrogen atom is positively resolved. The states in question: (i) are normalized and are parameterized continuously, (ii) admit a resolution of unity…

Quantum Physics · Physics 2009-10-28 John R. Klauder