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Related papers: Equation of state for the hard sphere fluids

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This report describes a new equation of state (EOS) for helium. The PANDA code was used to construct separate EOS tables for the solid and fluid phases. The solid and fluid EOS were then assembled into a multiphase EOS table using the PANDA…

Chemical Physics · Physics 2013-06-28 Gerald I. Kerley

Different equations of state (EOS) have been used to study pressure as a function of volume compressions at a given temperature. The critical test of EOS' for solids under low compressions (<10GPa) by evaluating the pressure-volume…

Materials Science · Physics 2012-07-11 S. Gaurav , S. Shankar Subramanian , Satyendra P. Singh , B. S. Sharma

A simple recipe to derive the compressibility factor of a multicomponent mixture of d-dimensional additive hard spheres in terms of that of the one-component system is proposed. The recipe is based (i) on an exact condition that has to be…

Statistical Mechanics · Physics 2019-05-23 A. Santos , S. B. Yuste , M. Lopez de Haro

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 relativistic equation of state (EOS) of the Van-der-Waals gas is suggested and analyzed. In contrast to the usual case, the Lorentz contraction of the sphere's volume is taken into account. It is proven that the suggested EOS obeys the…

Nuclear Theory · Physics 2009-11-11 Kyrill A. Bugaev

The equation of state of a hard sphere fluid at high density should exhibit a simple pole at the random close packing limit. Here we show that trying to obtain a compact semi-empirical equation of state simultaneously compatible with that…

Soft Condensed Matter · Physics 2019-08-14 Richard Bonneville

We use the extension of scaled particle theory (ESPT) presented in the accompanying paper [Stillinger et al. J. Chem. Phys. xxx, xxx (2007)] to calculate numerically pair correlation function of the hard sphere fluid over the density range…

Statistical Mechanics · Physics 2009-11-11 Swaroop Chatterjee , Pablo G. Debenedetti , Frank H. Stillinger

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

Recently it was discovered that altering the shape of the meta stable and unstable branches of an equation of state (EOS) can greatly improve the numerical accuracy of liquid and gas densities in the pseudopotential method. Inspired by this…

The departure from ideal gas behavior is described by several known equations of state (EoS), developed from a combination of theoretical considerations and experimental correlations. In this work a different approach is proposed, in which…

Statistical Mechanics · Physics 2011-03-31 D. Giusti , V. Molinari , D. Mostacci

We propose a means for constructing highly accurate equations of state (EOS) for elemental solids and liquids essentially from first principles, based upon a particular decomposition of the underlying condensed matter Hamiltonian for the…

Materials Science · Physics 2009-11-07 Eric D. Chisolm , Scott D. Crockett , Duane C. Wallace

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

We derive an exact equation for density changes induced by a general external field that corrects the hydrostatic approximation where the local value of the field is adsorbed into a modified chemical potential. Using linear response theory…

Statistical Mechanics · Physics 2009-10-31 Kirill Katsov , John D. Weeks

From the very first multimessenger event of GW170817, clean robust constraints can be obtained for the tidal deformabilities of the two stars involved in the merger, which provides us unique opportunity to study the equation of states…

Nuclear Theory · Physics 2019-07-23 Ang Li , Zhen-Yu Zhu

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

Based on the method proposed in [ H. S. Zong, W. M. Sun, Phys. Rev. \textbf{D 78}, 054001 (2008)], we calculate the equation of state (EOS) of QCD at zero temperature and finite quark chemical potential under the hard-dense-loop (HDL)…

High Energy Physics - Phenomenology · Physics 2014-11-21 Yu Jiang , Hua Li , Shi-song Huang , Wei-min Sun , Hong-shi Zong

We propose a new form for equations of state (EOS) of thermodynamic systems in the Ising universality class. The new EOS guarantees the correct universality and scaling behavior close to critical points and is formulated in terms of the…

Statistical Mechanics · Physics 2014-02-07 Arnold Neumaier

We study the equation of state (EOS) of nuclear matter at subnuclear density in a Virial expansion for a nonideal gas. The gas consists of neutrons, protons, alpha particles, and 8980 species of nuclei with $A \ge 12$ and masses from the…

Nuclear Theory · Physics 2010-10-27 G. Shen , C. J. Horowitz , S. Teige

A Gamma-distribution based potential energy landscape (PEL) theory has recently been proposed for supercooled liquids and glasses. This new PEL theory introduces a singularity term in the equation of state (EoS) suitable for representing…

Soft Condensed Matter · Physics 2026-02-11 Hongqin Liu

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