Equation of state of sticky-hard-sphere fluids in the chemical-potential route

Various truncations for the virial series of a binary fluid mixture of additive hard spheres are used to analyze the location of the critical consolute point of this system for different size asymmetries. The effect of uncertainties in the values of the eighth virial coefficients on the resulting critical constants is assessed. It is also shown that a replacement of the exact virial coefficients in lieu of the corresponding coefficients in the virial expansion of the analytical Boublík–Mansoori–Carnahan–Starling–Leland equation of state, which still leads to an analytical equation of state, may lead to a critical consolute point in the system.

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EQUATION OF STATE OF ASYMMETRIC NUCLEAR MATTER WITH GOGNY AND COULOMB INTERACTIONS

Modern Physics Letters A ◽

10.1142/s0217732390001190 ◽

1990 ◽

Vol 05 (14) ◽

pp. 1071-1080 ◽

Cited By ~ 7

Author(s):

S. W. HUANG ◽

M. Z. FU ◽

S. S. WU ◽

S. D. YANG

Keyword(s):

Equation Of State ◽

Nuclear Matter ◽

Coulomb Interaction ◽

Chemical Potential ◽

Compression Modulus ◽

Nucleon Nucleon ◽

Effective Density ◽

Coulomb Interactions ◽

Asymmetric Nuclear Matter ◽

Nucleon Nucleon Interaction

The equation of state of the asymmetric nuclear matter is calculated with the Gogny D1 effective density-dependent nucleon-nucleon interaction and the Coulomb interaction in the framework of the finite-temperature HF method with the rearrangement term. The dependence of the thermodynamical properties such as the critical temperature of the liquid-gas phase transition, the chemical potential, the compression modulus and the entropy on the Coulomb interaction in nuclear matter is treated by using a shielded two-body Coulomb potential and this method has been found to be a reasonable and effective approach.

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A modified perturbed hard-sphere-chain equation of state for pure halogenated organic compounds

International Journal of Refrigeration ◽

10.1016/j.ijrefrig.2005.03.005 ◽

2005 ◽

Vol 28 (7) ◽

pp. 1057-1063 ◽

Cited By ~ 8

Author(s):

Hossein Eslami ◽

Maryam Farrokhnia

Keyword(s):

Equation Of State ◽

Organic Compounds ◽

Hard Sphere ◽

Halogenated Organic Compounds ◽

Chain Equation

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

Proceedings ◽

10.3390/proceedings2019013005 ◽

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.

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