Perturbation Theory and Equation of State for Fluids. II. A Successful Theory of Liquids

1967 ◽  
Vol 47 (11) ◽  
pp. 4714-4721 ◽  
Author(s):  
J. A. Barker ◽  
D. Henderson
Keyword(s):  
Perturbation Theory ◽  
Equation Of State ◽  
Successful Theory ◽  
Theory Of Liquids

On the relation between perturbation theory and distribution function theories of liquids

1969 ◽  
Vol 47 (19) ◽  
pp. 2009-2019 ◽  
Author(s):  
M. Chen ◽  
D. Henderson ◽  
J. A. Barker
Keyword(s):  
Free Energy ◽  
Distribution Function ◽  
Perturbation Theory ◽  
Equation Of State ◽  
Internal Energy ◽  
Pair Distribution Function ◽  
Energy Equation ◽  
Theory Of Liquids ◽  
Better Than

Perturbation theory of liquids and distribution function theories of liquids (as typified by the Percus–Yevick theory) are examined. It is shown that the energy equation, relating the pair distribution function to the internal energy, may be integrated to yield an expression for the free energy which is similar to that obtained from perturbation theory. The equation of state resulting from this approach, based on the energy equation, is shown to be better than that obtained from the pressure or compressibility equations. Finally, the similarity between perturbation theory and distribution function theories is exploited to provide simple improvements to either approach.

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.

An equation of state for Stockmayer fluids based on a perturbation theory for dipolar hard spheres

2019 ◽  
Vol 151 (10) ◽  
pp. 104102 ◽  
Author(s):  
Marc Theiss ◽  
Thijs van Westen ◽  
Joachim Gross
Keyword(s):  
Perturbation Theory ◽  
Equation Of State ◽  
Hard Spheres

Perturbation theory using the Yvon–Born–Green equation of state for square‐well fluids

1975 ◽  
Vol 62 (3) ◽  
pp. 1116-1121 ◽  
Author(s):  
W. W. Lincoln ◽  
John J. Kozak ◽  
K. D. Luks
Keyword(s):  
Perturbation Theory ◽  
Equation Of State ◽  
Square Well
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