scholarly journals Hadronic equation of state and speed of sound in thermal and dense medium

2014 ◽  
Vol 29 (27) ◽  
pp. 1450152 ◽  
Author(s):  
Abdel Nasser Tawfik ◽  
Hend Magdy
Keyword(s):  
Equation Of State ◽  
Specific Heat ◽  
High Temperatures ◽  
Speed Of Sound ◽  
Chemical Potential ◽  
Dense Medium ◽  
Thermodynamic Quantities ◽  
Strange Hadron ◽  
The Difference ◽  
Grand Canonical

The equation of state p(ϵ) and speed of sound squared [Formula: see text] are studied in grand canonical ensemble of all hadron resonances having masses ≤2 GeV . This large ensemble is divided into strange and non-strange hadron resonances and furthermore to pionic, bosonic and fermionic sectors. It is found that the pions represent the main contributors to [Formula: see text] and other thermodynamic quantities including the equation of state p(ϵ) at low temperatures. At high temperatures, the main contributions are added in by the massive hadron resonances. The speed of sound squared can be calculated from the derivative of pressure with respect to the energy density, ∂p/∂ϵ, or from the entropy-specific heat ratio, s/cv. It is concluded that the physics of these two expressions is not necessarily identical. They are distinguishable below and above the critical temperature Tc. This behavior is observed at vanishing and finite chemical potential. At high temperatures, both expressions get very close to each other and both of them approach the asymptotic value, 1/3. In the hadron resonance gas (HRG) results, which are only valid below Tc, the difference decreases with increasing the temperature and almost vanishes near Tc. It is concluded that the HRG model can very well reproduce the results of the lattice quantum chromodynamics (QCD) of ∂p/∂ϵ and s/cv, especially at finite chemical potential. In light of this, energy fluctuations and other collective phenomena associated with the specific heat might be present in the HRG model. At fixed temperatures, it is found that [Formula: see text] is not sensitive to the chemical potential.

q-Deformed Tamm–Dancoff oscillators: Coherent state and thermostatistics

2014 ◽  
Vol 28 (21) ◽  
pp. 1450130 ◽  
Author(s):  
Won Sang Chung ◽  
Abdullah Algin
Keyword(s):  
High Temperature ◽  
Equation Of State ◽  
Coherent State ◽  
Specific Heat ◽  
High Temperatures ◽  
Deformation Parameter ◽  
Quantum Systems ◽  
Oscillator Algebra ◽  
Many Body ◽  
The Real

The q-deformed bosonic Tamm–Dancoff oscillator algebra is considered. The coherent state of the q-deformed bosonic Tamm–Dancoff oscillator algebra is first constructed in detail. Second, the high-temperature thermostatistical properties of a gas of the Tamm–Dancoff oscillators are investigated. For high temperatures, the specific heat, the entropy and the equation of state for the system are derived in terms of the real deformation parameter q. The results obtained by the effects of Tamm–Dancoff type q-deformation show that they could be useful for further researches on understanding of mutual interactions between bosons and fermions in many-body quantum systems.

scholarly journals The Thermal Expansion of Solids

1959 ◽  
Vol 12 (3) ◽  
pp. 237 ◽  
Author(s):  
GC Fletcher
Keyword(s):  
Thermal Expansion ◽  
Sodium Chloride ◽  
Equation Of State ◽  
Specific Heat ◽  
High Temperatures ◽  
Isothermal Compressibility ◽  
Constant Volume ◽  
Normal Vibrations ◽  
Ionic Solid ◽  
Theory And Experiment

From the theory of normal vibrations of a lattice, a practical means of obtaining the equation of state of an ionic solid is developed from which the thermal expansion can be derived. Using previous work by Kellermann, application is made to the case of sodium chloride and the results compared with experiment. Possible reasons for the discrepancy between theory and experiment, which is very large at 'high temperatures, are discussed. The variation with temperature of the specific heat at constant volume and the isothermal compressibility are also investigated.

scholarly journals Temperature effects on the neutron matter equation of state obtained from chiral effective field theory

2020 ◽  
Vol 35 (19) ◽  
pp. 2050156
Author(s):  
Francesca Sammarruca ◽  
R. Machleidt ◽  
R. Millerson
Keyword(s):  
Field Theory ◽  
Equation Of State ◽  
Effective Field Theory ◽  
Temperature Effects ◽  
Chemical Potential ◽  
Effective Field ◽  
Neutron Matter ◽  
Thermodynamic Quantities ◽  
Chiral Effective Field Theory ◽  
Nucleon Force

Temperature effects on the neutron matter equation of state (EoS) are investigated in the framework of chiral effective field theory. Recently, state-of-the-art chiral two-nucleon forces are applied from third to fifth order in the chiral expansion together with chiral three-nucleon forces, allowing for a determination of the truncation error of the theoretical predictions. The thermodynamic quantities considered include the chemical potential, the internal energy, the entropy, and the free energy. In general, good order-by-order convergence of all predictions is observed. As to be expected, temperature effects are largest at low density. The temperature dependence of the chiral three-nucleon force turns out to be weak.

scholarly journals THE HAGEDORN TEMPERATURE REVISITED

2011 ◽  
Vol 26 (16) ◽  
pp. 1197-1209 ◽  
Author(s):  
J. CLEYMANS ◽  
D. WORKU
Keyword(s):  
Speed Of Sound ◽  
Chemical Potential ◽  
Thermodynamic Quantities ◽  
Chemical Potentials ◽  
Wide Range ◽  
Hadron Gas ◽  
Hadronic Resonances ◽  
Stable Result ◽  
Chemical Freeze ◽  
Freeze Out

The Hagedorn temperature, T H is determined from the number of hadronic resonances including all mesons and baryons. This leads to a stable result T H = 174 MeV consistent with the critical and the chemical freeze-out temperatures at zero chemical potential. We use this result to calculate the speed of sound and other thermodynamic quantities in the resonance hadron gas model for a wide range of baryon chemical potentials following the chemical freeze-out curve. We compare some of our results to those obtained previously in other papers.

A Study of Fluid Argon via the Constant Volume Specific Heat, the Isothermal Compressibility, and the Speed of Sound and their Extremum Properties along Isotherms

1975 ◽  
Vol 53 (14) ◽  
pp. 1367-1384 ◽  
Author(s):  
John Stephenson
Keyword(s):  
Equation Of State ◽  
Specific Heat ◽  
Speed Of Sound ◽  
Isothermal Compressibility ◽  
Constant Volume ◽  
Liquid Region ◽  
Fluid Argon ◽  
Unified Description ◽  
Dense Liquid ◽  
Sound Data

The properties of fluid argon are investigated via the maxima and minima along isotherms of selected thermodynamic functions, the isothermal compressibility, χT, the constant volume specific heat, CV, and the speed of sound, W. Calculations are based on an equation of state due to Gosman, McCarty, and Hust and on speed of sound data compiled by Thoen, Vangeel, and Van Dael. The calculation of CV in the dense liquid region, from the equation of state and from the speed of sound, is discussed in detail. Also, the linear dependence of W on the density in the liquid region is reconciled with the behaviour of W at temperatures above critical to obtain a unified description of the variation of W along isotherms.

Speed-of-Sound Measurements and a Fundamental Equation of State for Propylene Glycol

2021 ◽  
Vol 50 (2) ◽  
pp. 023105
Author(s):  
Tim Eisenbach ◽  
Christian Scholz ◽  
Roland Span ◽  
Diego Cristancho ◽  
Eric W. Lemmon ◽  
...  
Keyword(s):  
Equation Of State ◽  
Propylene Glycol ◽  
Speed Of Sound ◽  
Fundamental Equation ◽  
Fundamental Equation Of State

scholarly journals Erratum: “Prediction of H2O PVT relations at high temperatures by VHL equation of state” [AIP Advances 9, 035334 (2019)]

AIP Advances ◽  
2021 ◽  
Vol 11 (7) ◽  
pp. 079903
Author(s):  
Qin Liu ◽  
Yong Han ◽  
Xinping Long ◽  
Yingliang Duan
Keyword(s):  
Equation Of State ◽  
High Temperatures

A Rational Equation of State for Water and Water Vapor in the Critical Region

1964 ◽  
Vol 86 (3) ◽  
pp. 320-326 ◽  
Author(s):  
E. S. Nowak
Keyword(s):  
Water Vapor ◽  
Equation Of State ◽  
Thermodynamic Properties ◽  
Specific Heat ◽  
Critical Point ◽  
Critical Region ◽  
Constant Pressure ◽  
Parametric Equation ◽  
Enthalpy And Entropy ◽  
Specific Volumes

A parametric equation of state was derived for water and water vapor in the critical region from experimental P-V-T data. It is valid in that part of the critical region encompassed by pressures from 3000 to 4000 psia, specific volumes from 0.0400 to 0.1100 ft3/lb, and temperatures from 698 to 752 deg F. The equation of state satisfies all of the known conditions at the critical point. It also satisfies the conditions along certain of the boundaries which probably separate “supercritical liquid” from “supercritical vapor.” The equation of state, though quite simple in form, is probably superior to any equation heretofore derived for water and water vapor in the critical region. Specifically, the deviations between the measured and computed values of pressure in the large majority of the cases were within three parts in one thousand. This coincides approximately with the overall uncertainty in P-V-T measurements. In view of these factors, the author recommends that the equation be used to derive values for such thermodynamic properties as specific heat at constant pressure, enthalpy, and entropy in the critical region.

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