Analytic equation of state for Mie(α, β) fluids based on an improved Ross variation perturbation theory

2021 ◽  
Vol 323 ◽  
pp. 115053
Author(s):  
Hervé Guérin
Keyword(s):  
Perturbation Theory ◽  
Equation Of State ◽  
Analytic Equation

ANALYTIC EQUATION OF STATE FOR EXP-6 POTENTIAL FLUID AND APPLICATION TO N2 FLUID

2009 ◽  
Vol 23 (16) ◽  
pp. 2001-2012
Author(s):  
XINYING XUE ◽  
JIUXUN SUN ◽  
RONGGANG TIAN ◽  
FEI YU ◽  
WEI YANG
Keyword(s):  
Experimental Data ◽  
Monte Carlo ◽  
Perturbation Theory ◽  
Equation Of State ◽  
Analytic Equation ◽  
Variational Perturbation Theory ◽  
Wide Range ◽  
Variational Perturbation ◽  
Physical Quantities ◽  
Potential Fluid

An analytical expression for the equation of state and thermo-physical quantities of exponential-6 ( exp- 6) fluid are derived based on the Ross variational perturbation theory. The developed formalism is applied to N 2 fluid. Comparisons of theory and simulations for exp- 6 potential fluid are presented. The agreement of numerical results of pressure and internal energy with Monte Carlo (MC) simulations show that the theoretical model is satisfactory except where a few points from metastable ones appeared in literature. The expression has been applied to fluid nitrogen and the fitting to experimental data of fluid N 2 is surprisingly good. The predictions of pressure in the range of high temperature and high density are satisfactory. It has also been found that the analytic equation of state for exp- 6 potential fluid based on RDF proposed by Sun et al. is better in a wide range of pressures and temperatures than that derived from PY expression. Comparisons show that a potential dependence on temperature and density (or volume) may be necessary for the understanding of interaction between N 2 molecules. The equation of state can also be extended to application of important real gases such as H 2, O 2, CH 4, CO and CO 2.

Perturbation Theory and Equation of State for Fluids

1969 ◽  
Vol 182 (1) ◽  
pp. 307-316 ◽  
Author(s):  
Dominique Levesque ◽  
Loup Verlet
Keyword(s):  
Perturbation Theory ◽  
Equation Of State

scholarly journals Two-flavor chiral perturbation theory at nonzero isospin: pion condensation at zero temperature

2019 ◽  
Vol 79 (10) ◽  
Author(s):  
Prabal Adhikari ◽  
Jens O. Andersen ◽  
Patrick Kneschke
Keyword(s):  
Perturbation Theory ◽  
Equation Of State ◽  
Condensed Phase ◽  
Chiral Perturbation Theory ◽  
Chemical Potential ◽  
Tree Level ◽  
Zero Temperature ◽  
Leading Order ◽  
Chiral Perturbation ◽  
Pion Condensation

Abstract In this paper, we calculate the equation of state of two-flavor finite isospin chiral perturbation theory at next-to-leading order in the pion-condensed phase at zero temperature. We show that the transition from the vacuum phase to a Bose-condensed phase is of second order. While the tree-level result has been known for some time, surprisingly quantum effects have not yet been incorporated into the equation of state.  We find that the corrections to the quantities we compute, namely the isospin density, pressure, and equation of state, increase with increasing isospin chemical potential. We compare our results to recent lattice simulations of 2 + 1 flavor QCD with physical quark masses. The agreement with the lattice results is generally good and improves somewhat as we go from leading order to next-to-leading order in $$\chi $$χPT.

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