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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