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In a quasi-particle model of QCD matter at finite temperature with thermal masses for quarks and gluons from hard thermal loops, the equation of state (EOS) can be described by an effective temperature dependence of the strong coupling…

High Energy Physics - Phenomenology · Physics 2023-12-12 Feng-Lei Liu , Xiang-Yu Wu , Shanshan Cao , Guang-You Qin , Xin-Nian Wang

We study the equation of state (EOS) of nuclear matter as function of density. We expand the energy per particle (E/A) of symmetric infinite nuclear matter in powers of the density to take into account 2,3,. . .,N-body forces. New EOS are…

Nuclear Theory · Physics 2015-05-19 Ruslan Magana , Hua Zhenga , Aldo Bonasera

In this work we present a detailed explanation of the construction of an appropriate equation of state (EoS) for nuclear astrophysics. We use a relativistic model in order to obtain an EoS for neutrally charged matter that extends from very…

Astrophysics · Physics 2007-05-23 D. P. Menezes , C. Providencia

We describe the equation of state (EoS) of a warm ion plasma as obtained by performing microscopic many-body simulations using Molecular Dynamics computational techniques. Using the cold one-component plasma (OCP) composition in the Neutron…

High Energy Astrophysical Phenomena · Physics 2026-04-22 David Barba-González , Conrado Albertus , M. Ángeles Pérez-García

With more energy networks being interconnected to form integrated energy systems (IESs), the optimal energy flow (OEF) problem has drawn increasing attention. Extant studies on OEF models mostly utilize the finite difference method (FDM) to…

Systems and Control · Electrical Eng. & Systems 2022-09-07 Binbin Chen , Wenchuan Wu , Qinglai Guo , Hongbin Sun

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

We propose a new Bayesian framework to infer the neutron star equation of state (EOS) from mass and radius observations and neutron matter theory by defining priors that directly parameterize mass-radius space instead of pressure-energy…

High Energy Astrophysical Phenomena · Physics 2026-01-09 Boyang Sun , Tianqi Zhao , James M. Lattimer

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…

The Allen--Cahn equation is one of fundamental equations of phase-field models, while the logarithmic Flory--Huggins potential is one of the most useful energy potentials in various phase-field models. In this paper, we consider numerical…

Computational Physics · Physics 2019-05-09 Xiuhua Wang , Jisheng Kou , Jianchao Cai

Ensuring the safe and reliable operation of integrated electricity and gas systems (IEGS) requires dynamic energy flow (DEF) simulation tools that achieve high accuracy and computational efficiency. However, the inherent strong nonlinearity…

Systems and Control · Electrical Eng. & Systems 2025-02-28 Zhikai Huang , Shuai Lu , Wei Gu , Ruizhi Yu , Suhan Zhang , Yijun Xu , Yuan Li

Quasi-dynamic energy flow calculation is an indispensable tool for the heat and electricity integrated energy system (HE-IES) analysis. One solves the nonlinear partial differential algebraic equations to obtain thermal, hydraulic and…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Ruizhi Yu , Wei Gu

We propose a method to calculate finite-temperature properties of a quantum many-body system for a microcanonical ensemble by introducing a pure quantum state named here an energy-filtered random-phase state, which is also a potentially…

Quantum Physics · Physics 2022-10-06 Kazuhiro Seki , Seiji Yunoki

This paper develops a first-order system least-squares (FOSLS) formulation for equations of two-phase flow. The main goal is to show that this discretization, along with numerical techniques such as nested iteration, algebraic multigrid,…

Numerical Analysis · Mathematics 2012-06-01 J. H. Adler , J. Brannick , C. Liu , T. Manteuffel , L. Zikatanov

The energy dissipation law and maximum bound principle are significant characteristics of the Allen-Chan equation. To preserve discrete counterpart of these properties, the linear part of the target system is usually discretized implicitly,…

Numerical Analysis · Mathematics 2023-06-01 Xuelong Gu , Yushun Wang , Wenjun Cai

We apply a novel equation of state (EoS) that includes the surface tension contribution induced by interparticle interaction and asymmetry between neutrons and protons, to the study of neutron star (NS) properties. This elaborated EoS is…

High Energy Astrophysical Phenomena · Physics 2019-02-11 Violetta V. Sagun , Ilidio Lopes , Aleksei I. Ivanytskyi

As a representative mathematical expression of power flow (PF) constraints in electrical distribution system (EDS), the piecewise linearization (PWL) based PF constraints have been widely used in different EDS optimization scenarios.…

Optimization and Control · Mathematics 2018-09-10 Yun Zhou , Jingyang Yun , Zheng Yan , Donghan Feng , Sijie Chen

We develop a new equation of state (EoS) table involving thermal (anti)kaons, Bose-Einstein condensate of $K^{-}$ mesons and $\Lambda$-hyperons for core-collapse supernova and neutron star merger simulations. This EoS table is based on a…

High Energy Astrophysical Phenomena · Physics 2021-04-05 Tuhin Malik , Sarmistha Banik , Debades Bandyopadhyay

We study thermalization in a disordered one-dimensional interacting bosonic system described by the Aubry-Andre model using full exact diagonalization. We find a broad chaotic energy window where the system's eigenstates satisfy the…

Quantum Physics · Physics 2025-07-18 Javier de la Cruz , Carlos Diaz-Mejia , Sergio Lerma-Hernandez , Jorge G. Hirsch

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…

A numerical framework is proposed and analyzed for computing the ground state of Bose--Einstein condensates. A gradient flow approach is developed, incorporating both a Lagrange multiplier to enforce the $L^2$ conservation and a free energy…

Numerical Analysis · Mathematics 2025-11-18 Jing Guo , Cheng Wang , Dong Wang