Towards a molecular theory of freezing: The equation of state and free energy from the first BBGKY equation

1978 ◽  
Vol 68 (8) ◽  
pp. 3632-3643 ◽  
Author(s):  
Harold J. Raveché ◽  
Richard F. Kayser
Keyword(s):  
Free Energy ◽  
Equation Of State ◽  
Molecular Theory ◽  
Bbgky Equation

scholarly journals An equation of state for partially ionized plasmas: The Coulomb contribution to the free energy

2015 ◽  
Vol 16 ◽  
pp. 36-40 ◽  
Author(s):  
D.P. Kilcrease ◽  
J. Colgan ◽  
P. Hakel ◽  
C.J. Fontes ◽  
M.E. Sherrill
Keyword(s):  
Free Energy ◽  
Equation Of State ◽  
Ionized Plasmas ◽  
Partially Ionized Plasmas ◽  
Partially Ionized ◽  
Coulomb Contribution

Explicit Gibbs free energy equation of state for solids

2008 ◽  
Vol 69 (8) ◽  
pp. 1912-1922 ◽  
Author(s):  
Eli Brosh ◽  
Roni Z. Shneck ◽  
Guy Makov
Keyword(s):  
Free Energy ◽  
Equation Of State ◽  
Gibbs Free Energy ◽  
Energy Equation

scholarly journals A thermodynamic origin for the Cohen-Kaplan-Nelson bound

2021 ◽  
Author(s):  
Satish Ramakrishna
Keyword(s):  
General Relativity ◽  
Free Energy ◽  
Equation Of State ◽  
Density Of States ◽  
Canonical Ensemble ◽  
Field Theories ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Local Quantum ◽  
The Universe

Abstract The Cohen-Kaplan-Nelson bound is imposed on the grounds of logical consistency (with classical General Relativity) upon local quantum field theories. This paper puts the bound into the context of a thermodynamic principle applicable to a field with a particular equation of state in an expanding universe. This is achieved without overtly appealing to either a decreasing density of states or a minimum coupling requirement, though they might still be consistent with the results described. The paper establishes that the holographic principle applied to cosmology is consistent with minimizing the free energy of the universe in the canonical ensemble, upon the assumption that the ultraviolet cutoff is a function of the causal horizon scale.

Classical Equation of State for Dilute Relativistic Plasma

2016 ◽  
Vol 71 (6) ◽  
pp. 541-548
Author(s):  
N.A. Hussein ◽  
D.A. Eisa ◽  
E.G. Sayed
Keyword(s):  
Free Energy ◽  
Equation Of State ◽  
Excess Free Energy ◽  
Classical Equation ◽  
Analytical Form ◽  
Convergent Series ◽  
Thermal Parameter ◽  
Absolute Temperature ◽  
Relativistic Plasma ◽  
Speed Of Light

AbstractThe aim of this paper is to calculate the analytical form of the equation of state for dilute relativistic plasma. We obtained the excess free energy and pressure in the form of a convergent series expansion in terms of the thermal parameter μ where $\mu \, = \,{{m{c^2}} \over {KT}},$m is the mass of charge, c is the speed of light, K is the Boltzmann’s constant, and T is the absolute temperature. The results are discussed and compared with previous work of other authors.

X-Ray Structural Study of Li3N at High Pressure

1997 ◽  
Vol 499 ◽  
Author(s):  
Allen C. Ho ◽  
Maurice K. Granger ◽  
Arthur L. Ruoff
Keyword(s):  
High Pressure ◽  
Free Energy ◽  
Synchrotron Radiation ◽  
Equation Of State ◽  
Ambient Temperature ◽  
Structural Study ◽  
Ambient Pressure ◽  
X Ray Diffraction ◽  
X Ray ◽  
Gibb’S Free Energy

ABSTRACTThe equation of state (EOS) of Li3N has been determined by energy-dispersive x-ray diffraction (EDXD) using synchrotron radiation up to 35 GPa at ambient temperature. Both the hexagonal D6h4(P63/mmc) and the hexagonal D6h1(P6/mmm) phases were present at ambient pressure. The D6h1 -structure completely transforms into the D6h4 -structure at modest pressure. The change in Gibb's free energy as a function of pressure for Li3N was calculated using the experimental EOS.

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