scholarly journals Lattice-based equation of state at finite baryon number, electric charge, and strangeness chemical potentials

2019 ◽  
Vol 100 (6) ◽  
Author(s):  
J. Noronha-Hostler ◽  
P. Parotto ◽  
C. Ratti ◽  
J. M. Stafford
Keyword(s):  
Equation Of State ◽  
Electric Charge ◽  
Baryon Number ◽  
Chemical Potentials

scholarly journals Crossover-model approach to QCD phase diagram, equation of state and susceptibilities in the 2+1 and 2+1+1 flavor systems

2017 ◽  
Vol 32 (36) ◽  
pp. 1750205 ◽  
Author(s):  
Akihisa Miyahara ◽  
Masahiro Ishii ◽  
Hiroaki Kouno ◽  
Masanobu Yahiro
Keyword(s):  
Phase Diagram ◽  
Equation Of State ◽  
Baryon Number ◽  
Entropy Density ◽  
Transition Line ◽  
Qcd Phase Diagram ◽  
Chemical Potentials ◽  
Number Formula ◽  
Crossover Transition ◽  
Production Probability

We construct a simple model for describing the hadron–quark crossover transition by using lattice QCD (LQCD) data in the [Formula: see text] flavor system, and draw the phase diagram in the [Formula: see text] and [Formula: see text] flavor systems through analyses of the equation of state (EoS) and the susceptibilities. In the present hadron–quark crossover (HQC) model, the entropy density [Formula: see text] is defined by [Formula: see text] with the hadron-production probability [Formula: see text], where [Formula: see text] is calculated by the hadron resonance gas model that is valid in low temperature [Formula: see text] and [Formula: see text] is evaluated by the independent quark model that explains LQCD data on the EoS in the region [Formula: see text] for the [Formula: see text] flavor system and [Formula: see text] for the [Formula: see text] flavor system. The [Formula: see text] is determined from LQCD data on [Formula: see text] and susceptibilities for the baryon-number [Formula: see text], the isospin [Formula: see text] and the hypercharge [Formula: see text] in the [Formula: see text] flavor system. The HQC model is successful in reproducing LQCD data on the EoS and the flavor susceptibilities [Formula: see text] for [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] in the [Formula: see text] flavor system, without changing the [Formula: see text]. We define the hadron–quark transition temperature with [Formula: see text]. For the [Formula: see text] flavor system, the transition line thus obtained is almost identical in [Formula: see text], [Formula: see text], [Formula: see text] planes, when the chemical potentials [Formula: see text] [Formula: see text] are smaller than 250 MeV. This [Formula: see text] approximate equivalence is also seen in the [Formula: see text] flavor system. We plot the phase diagram also in [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] planes in order to investigate flavor dependence of transition lines. In the [Formula: see text] flavor system, [Formula: see text] quark does not affect the [Formula: see text] flavor subsystem composed of [Formula: see text], [Formula: see text], [Formula: see text]. Temperature dependence of the off-diagonal susceptibilities and the [Formula: see text] show that the transition region at [Formula: see text] is [Formula: see text] for both the [Formula: see text] and [Formula: see text] flavor systems.

scholarly journals QCD equation of state at finite chemical potentials for relativistic nuclear collisions

2021 ◽  
Vol 36 (07) ◽  
pp. 2130007
Author(s):  
Akihiko Monnai ◽  
Björn Schenke ◽  
Chun Shen
Keyword(s):  
Equation Of State ◽  
Nuclear Matter ◽  
Lattice Qcd ◽  
Baryon Number ◽  
Nuclear Collisions ◽  
Chemical Potentials ◽  
Dense Nuclear Matter ◽  
Lower Beam ◽  
Quantitative Understanding ◽  
Relativistic Nuclear Collisions

We review the equation of state of QCD matter at finite densities. We discuss the construction of the equation of state with net baryon number, electric charge, and strangeness using the results of lattice QCD simulations and hadron resonance gas models. Its application to the hydrodynamic analyses of relativistic nuclear collisions suggests that the interplay of multiple conserved charges is important in the quantitative understanding of the dense nuclear matter created at lower beam energies. Several different models of the QCD equation of state are discussed for comparison.

scholarly journals Quark Number Susceptibilities and Equation of State in QCD at Finite μB

Proceedings ◽  
2019 ◽  
Vol 13 (1) ◽  
pp. 5
Author(s):  
Saumen Datta ◽  
Rajiv Gavai ◽  
Sourendu Gupta
Keyword(s):  
Equation Of State ◽  
Taylor Series ◽  
Chemical Potential ◽  
Baryon Number ◽  
Heavy Ion ◽  
Relativistic Heavy Ion Collider ◽  
Quark Number ◽  
Monte Carlo Studies ◽  
Essential Input ◽  
Beam Energy Scan

One of the main goals of the cold baryonic matter (CBM) experiment at FAIR is to explore the phases of strongly interacting matter at finite temperature and baryon chemical potential μ B . The equation of state of quantum chromodynamics (QCD) at μ B > 0 is an essential input for the CBM experiment, as well as for the beam energy scan in the Relativistic Heavy Ion Collider(RHIC) experiment. Unfortunately, it is highly nontrivial to calculate the equation of state directly from QCD: numerical Monte Carlo studies on lattice are not useful at finite μ B . Using the method of Taylor expansion in chemical potential, we estimate the equation of state, namely the baryon number density and its contribution to the pressure, for two-flavor QCD at moderate μ B . We also study the quark number susceptibilities. We examine the technicalities associated with summing the Taylor series, and explore a Pade resummation. An examination of the Taylor series can be used to get an estimate of the location of the critical point in μ B , T plane.

scholarly journals 1S0 Pairing Gaps, Chemical Potentials and Entrainment Matrix in Superfluid Neutron-Star Cores for the Brussels–Montreal Functionals

Universe ◽  
2021 ◽  
Vol 7 (12) ◽  
pp. 470
Author(s):  
Valentin Allard ◽  
Nicolas Chamel
Keyword(s):  
Neutron Star ◽  
Equation Of State ◽  
Neutron Stars ◽  
Physical Meaning ◽  
Outer Core ◽  
Time Dependent ◽  
Hartree Fock ◽  
Chemical Potentials ◽  
Bogoliubov Equations ◽  
Flow Velocities

Temperature and velocity-dependent 1S0 pairing gaps, chemical potentials and entrainment matrix in dense homogeneous neutron–proton superfluid mixtures constituting the outer core of neutron stars, are determined fully self-consistently by solving numerically the time-dependent Hartree–Fock–Bogoliubov equations over the whole range of temperatures and flow velocities for which superfluidity can exist. Calculations have been made for npeμ in beta-equilibrium using the Brussels–Montreal functional BSk24. The accuracy of various approximations is assessed and the physical meaning of the different velocities and momentum densities appearing in the theory is clarified. Together with the unified equation of state published earlier, the present results provide consistent microscopic inputs for modeling superfluid neutron-star cores.

Inconsistency of conservation laws for the baryon number and electric charge with the conception of black holes

2011 ◽  
Vol 56 (7) ◽  
pp. 359-361 ◽  
Author(s):  
S. S. Gershtein ◽  
A. A. Logunov ◽  
M. A. Mestvirishvili
Keyword(s):  
Black Holes ◽  
Conservation Laws ◽  
Electric Charge ◽  
Baryon Number

scholarly journals Equation of State and Freezeout in QCD with Staggered Quarks

2018 ◽  
Vol 175 ◽  
pp. 07035
Author(s):  
Saumen Datta ◽  
R. V. Gavai ◽  
Sourendu Gupta
Keyword(s):  
Equation Of State ◽  
Taylor Expansion ◽  
Chemical Potential ◽  
Baryon Number ◽  
Number Density ◽  
Statistical Errors

We report the equation of state at finite chemical potential, namely the baryon number density and the baryonic contribution to the pressure, using a resummation of the Taylor expansion. We also report the freezeout conditions for a measure of fluctuations. We examine the major sources of systematic and statistical errors in all of these measurements.

scholarly journals Freeze-Out Parameters from Electric Charge and Baryon Number Fluctuations: Is There Consistency?

2014 ◽  
Vol 113 (5) ◽  
Author(s):  
S. Borsanyi ◽  
Z. Fodor ◽  
S. D. Katz ◽  
S. Krieg ◽  
C. Ratti ◽  
...  
Keyword(s):  
Electric Charge ◽  
Baryon Number ◽  
Freeze Out

scholarly journals From Heavy-Ion Collisions to Compact Stars: Equation of State and Relevance of the System Size

Universe ◽  
2018 ◽  
Vol 4 (1) ◽  
pp. 14 ◽  
Author(s):  
Sylvain Mogliacci ◽  
Isobel Kolbé ◽  
W. Horowitz
Keyword(s):  
Equation Of State ◽  
Degrees Of Freedom ◽  
Compact Star ◽  
Relativistic Quantum ◽  
Finite Size ◽  
Baryon Number ◽  
System Size ◽  
Heavy Ion ◽  
Compact Stars ◽  
Heavy Ion Physics

In this article, we start by presenting state-of-the-art methods allowing us to compute moments related to the globally conserved baryon number, by means of first principle resummed perturbative frameworks. We focus on such quantities for they convey important properties of the finite temperature and density equation of state, being particularly sensitive to changes in the degrees of freedom across the quark-hadron phase transition. We thus present various number susceptibilities along with the corresponding results as obtained by lattice quantum chromodynamics collaborations, and comment on their comparison. Next, omitting the importance of coupling corrections and considering a zero-density toy model for the sake of argument, we focus on corrections due to the small size of heavy-ion collision systems, by means of spatial compactifications. Briefly motivating the relevance of finite size effects in heavy-ion physics, in opposition to the compact star physics, we present a few preliminary thermodynamic results together with the speed of sound for certain finite size relativistic quantum systems at very high temperature.

Dynamics of thin-shell wormholes with different cosmological models

2017 ◽  
Vol 26 (05) ◽  
pp. 1741007 ◽  
Author(s):  
Muhammad Sharif ◽  
Saadia Mumtaz
Keyword(s):  
Equation Of State ◽  
Electric Charge ◽  
General Equation ◽  
Thin Shell ◽  
Cosmological Models ◽  
Exotic Matter ◽  
Linear Perturbation ◽  
Stability Regions ◽  
Thin Shell Wormholes ◽  
The Stability

This work is devoted to investigate the stability of thin-shell wormholes in Einstein–Hoffmann–Born–Infeld electrodynamics. We also study the attractive and repulsive characteristics of these configurations. A general equation-of-state is considered in the form of linear perturbation which explores the stability of the respective wormhole solutions. We assume Chaplygin, linear and logarithmic gas models to study exotic matter at thin-shell and evaluate stability regions for different values of the involved parameters. It is concluded that the Hoffmann–Born–Infeld parameter and electric charge enhance the stability regions.

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