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The equation of state (EOS) of alloys at high pressures is generalized with the cluster expansion method. It is shown that this provides a more accurate description. The low temperature EOSs of Ni-Al alloys on FCC and BCC lattices are…

Materials Science · Physics 2012-03-06 H. Y. Geng , N. X. Chen , M. H. F. Sluiter

Two-level atoms interacting with a one mode cavity field at zero temperature have order parameters which reflect the presence of a quantum phase transition at a critical value of the atom-cavity coupling strength. Two popular examples are…

Quantum Physics · Physics 2015-06-11 J. G. Hirsch , O. Castaños , E. Nahmad-Achar , R. López-Penã

We construct the equation of state (EOS) in a wide density range for neutron stars using the relativistic mean field theory. The properties of neutron star matter with both uniform and non-uniform distributions are studied consistently. The…

Nuclear Theory · Physics 2009-11-07 H. Shen

Finite-temperature equation of state (EoS) and the composition of dense nuclear and hypernuclear matter under conditions characteristic of neutron star binary merger remnants and supernovas are discussed. We consider both neutrino…

Nuclear Theory · Physics 2021-10-18 Armen Sedrakian , Arus Harutyunyan

In the last years different studies have revealed the usefulness of a microcanonical analysis of finite systems when dealing with phase transitions. In this approach the quantities of interest are exclusively expressed as derivatives of the…

Statistical Mechanics · Physics 2009-11-11 Andreas Richter , Michel Pleimling , Alfred Hueller

An equation of state(EOS) of nuclear matter with explicit inclusion of a spin-isospin dependent force is constructed from a finite range, momentum and density dependent effective interaction. This EOS is found to be in good agreement with…

Nuclear Theory · Physics 2009-10-30 V. S. Uma Maheswari , D. N. Basu , J. N. De , S. K. Samaddar

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

We explore the phase transitions of the ideal relativistic neutral Bose gas confined in a cubic box, without assuming the thermodynamic limit nor continuous approximation. While the corresponding non-relativistic canonical partition…

Quantum Gases · Physics 2011-03-15 Jeong-Hyuck Park , Sang-Woo Kim

We formulate a family of equations of state for Quantum Chromodynamics that exhibit critical features and obey the charge conservation conditions present in heavy-ion collisions (HICs). This construction utilizes the first-principle Lattice…

Fluctuations of the number of condensed atoms in a finite-size, weakly interacting Bose gas confined in a box potential are investigated for temperatures up to the critical region. The canonical partition functions are evaluated using a…

Statistical Mechanics · Physics 2015-05-13 Z. Idziaszek , L. Zawitkowski , M. Gajda , K. Rzazewski

We study numerically the effect of varying the equation of state (EOS) on the formation of stellar clusters in turbulent molecular clouds. Our results show that the EOS plays an important role in the fragmentation of the clouds, and the…

Astrophysics · Physics 2009-11-07 Yuexing Li , Ralf S. Klessen , Mordecai-Mark Mac Low

We discuss the relation between the effective vector meson mass and equation of state (EOS) for nuclear matter. In the mean field approximation, the EOS becomes softer due to the reduction of the effective omega-meson mass, if we assume…

Nuclear Theory · Physics 2007-05-23 Hiroaki Kouno

Calculations predict a connection between the isotopic composition of particles emitted during an energetic nucleus-nucleus collision and the density dependence of the asymmetry term of the nuclear equation of state (EOS). This connection…

A novel method to determine the density and temperature of a system is proposed based on quantum fluctuations typical of Fermions in the limit where the reached temperature T is small compared to the Fermi energy $\epsilon_f$ at a given…

Nuclear Theory · Physics 2011-06-27 Hua Zheng , Aldo Bonasera

We study the 2d-Ising model defined on finite boxes at temperatures that are below but very close from the critical point. When the temperature approaches the critical point and the size of the box grows fast enough, we establish large…

Probability · Mathematics 2008-12-01 Raphael Cerf , Reda Messikh

We apply Bayesian approach to construct a large number of minimally constrained equations of state (EOSs) and study their correlations with a few selected properties of a neutron star (NS). Our set of minimal constraints includes a few…

Nuclear Theory · Physics 2022-08-26 N. K. Patra , Sk Md Adil Imam , B. K. Agrawal , Arunava Mukherjee , Tuhin Malik

An equation of state (EOS) for uniform nuclear matter is constructed at zero and finite temperatures with the variational method starting from the realistic nuclear Hamiltonian composed of the Argonne V18 and UIX potentials. The energy is…

Nuclear Theory · Physics 2008-11-26 H. Kanzawa , K. Oyamatsu , K. Sumiyoshi , M. Takano

Consider a model of particles (nucleons) which has a two-body interaction which leads to bound composites with saturation properties. These properties are : all composites have the same density and the ground state energies of composites…

Statistical Mechanics · Physics 2009-11-11 G. Chaudhuri , S. Das Gupta , M. Sutton

We present a 5-phase equation of state (EOS) for elemental carbon. The phases considered are: diamond, BC8, simple-cubic, simple-hexagonal, and the liquid/plasma state. The solid phase free energies are constrained by density functional…

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…