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A central issue in the theory of astrophysical compact objects and heavy ion reactions at intermediate and relativistic energies is the Nuclear Equation of State (EoS). On one hand, the large and expanding set of experimental and…

Nuclear Theory · Physics 2008-11-26 M. Baldo , C. Maieron

We derive a quasiclassical expression for the density of states (DOS) of an arbitrary, ultracold, $N$-atom collision complex, for a general potential energy surface (PES). We establish the accuracy of our quasiclassical method by comparing…

Quantum Gases · Physics 2019-09-25 Arthur Christianen , Tijs Karman , Gerrit C. Groenenboom

We give an overview about equations of state (EOS) which are currently available for simulations of core-collapse supernovae and neutron star mergers. A few selected important aspects of the EOS, such as the symmetry energy, the maximum…

Nuclear Theory · Physics 2017-03-29 Matthias Hempel , Micaela Oertel , Stefan Typel , Thomas Klähn

We obtain posterior distribution of equations of state (EOSs) across a broad range of density by imposing explicitly the constraints from precisely measured fundamental properties of finite nuclei, in combination with the experimental data…

Nuclear Theory · Physics 2024-06-03 Anagh Venneti , Sakshi Gautam , Sarmistha Banik , B. K. Agrawal

We derive a compact, semi-algebraic expression for the cold quark matter equation of state (EoS) in a covariant model that exhibits coincident deconfinement and chiral symmetry restoring transitions in-medium. Along the way we obtain…

Nuclear Theory · Physics 2010-11-11 Thomas Klahn , Craig D. Roberts , Lei Chang , Huan Chen , Yu-Xin Liu

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 study the equation of state (EOS) of kaon-condensed matter including the effects of temperature and trapped neutrinos. It is found that the order of the phase transition to a kaon-condensed phase, and whether or not Gibbs' rules for…

Nuclear Theory · Physics 2009-11-06 J. A. Pons , S. Reddy , P. J. Ellis , M. Prakash , J. M. Lattimer

Impacts between planetary-sized bodies can explain the origin of satellites orbiting large ($R>500$~km) trans-Neptunian objects. Their water rich composition, along with the complex phase diagram of water, make it important to accurately…

Earth and Planetary Astrophysics · Physics 2021-09-14 Yonatan Shimoni , Oded Aharonson , Raluca Rufu

It is very difficult for any nuclear model to pin down the saturation property and high-density equation of state (EOS) simultaneously because of high nonlinearity of the nuclear many-body problem. In this work, we propose, for the first…

Nuclear Theory · Physics 2019-06-27 Rong-Yao Yang , Wei-Zhou Jiang , Si-Na Wei

We introduce a parameterized high-density equation of state (EOS) in order to systematize the study of constraints placed by astrophysical observations on the nature of neutron-star matter. To obtain useful constraints, the number of…

Astrophysics · Physics 2009-07-09 Jocelyn S. Read , Benjamin D. Lackey , Benjamin J. Owen , John L. Friedman

We calculate a new equation of state for baryons at sub-nuclear densities meant for the use in core-collapse simulations of massive stars. The abundance of various nuclei is obtained together with the thermodynamic quantities. The…

High Energy Astrophysical Phenomena · Physics 2015-05-27 Shun Furusawa , Shoichi Yamada , Kohsuke Sumiyoshi , Hideyuki Suzuki

In the present work we revisit the problem of the quantum droplet in atomic Bose-Einstein condensates with an eye towards describing its ground state in the large density, so-called Thomas-Fermi limit. We consider the problem as being…

Quantum Gases · Physics 2024-01-17 J. Holmer , K. Z. Zhang , P. G. Kevrekidis

We consider a variational 'crystalline' equation of state (EOS) that follows from nucleons that are chiral solitons with deep relativistic quark bound states. In this model conventional quark matter does not occur till a high density…

Nuclear Theory · Physics 2024-02-29 Vikram Soni

The element Ce exhibits an isostructural $\gamma-\alpha$ phase transition with a 15\% volume change at room temperature. The phase boundary ends in a critical point at 1.5 GPa and 480 K. We describe a model for the equation of state of Ce…

Materials Science · Physics 2018-08-01 C. W. Greeff , S. D. Crockett , K. G. Honnell

Observations of isolated neutron stars place constraints on the equation of state (EOS) of cold, neutron-rich matter, while nuclear physics experiments probe the EOS of hot, symmetric matter. Many dynamical phenomena, such as core-collapse…

High Energy Astrophysical Phenomena · Physics 2019-04-17 Carolyn A. Raithel , Feryal Ozel , Dimitrios Psaltis

Simple and robust algorithms are developed for compressible Euler equations with the stiffened gas equation of state (EOS), representing gaseous mixtures in thermal equilibrium and without chemical reactions. These algorithms use a fully…

Numerical Analysis · Mathematics 2021-03-08 Ramesh Kolluru , S V Raghurama Rao , G N Sekhar

Numerical simulations of compressible fluid flows require an equation of state (EOS) to relate the thermodynamic variables of density, internal energy, temperature, and pressure. A valid EOS must satisfy the thermodynamic conditions of…

Computational Physics · Physics 2009-11-11 Gary A. Dilts

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

The high-temperature and high-pressure equations of states (EOSs) of rhenium up to 3000 K and 900 GPa are predicted by a recently developed method in the framework of statistical ensemble theory with \textit{ab initio} computational…

Materials Science · Physics 2024-12-09 Yue-Yue Tian , Hui-fen Zhang , Bo-Yuan Ning , Xi-Jing Ning

Employing Monte-Carlo simulation techniques we investigate the statistical properties of equally charged particles confined in a one-dimensional box trap and detect a crossover from a crystalline to a cluster phase with increasing…

Statistical Mechanics · Physics 2013-04-23 A. V. Zampetaki , F. K. Diakonos , P. Schmelcher
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