An iterated Mayer expansion for the Yukawa gas

1985 ◽  
Vol 41 (3-4) ◽  
pp. 671-684 ◽  
Author(s):  
G. Benfatto
Keyword(s):  
Mayer Expansion

scholarly journals On a new form of the Mayer expansion

2015 ◽  
pp. 18-22
Author(s):  
A.L. Rebenko ◽  
◽  
V.A. Boluh ◽  
Keyword(s):  
Mayer Expansion ◽  
New Form

scholarly journals Mayer expansion of the Nekrasov prepotential: The subleading ε 2 -order

2016 ◽  
Vol 906 ◽  
pp. 408-440 ◽  
Author(s):  
Jean-Emile Bourgine ◽  
Davide Fioravanti
Keyword(s):  
Mayer Expansion

The virial expansion re-visited: A new interpretation

2015 ◽  
Vol 29 (34) ◽  
pp. 1530014
Author(s):  
F. Y. Wu ◽  
R. Aaron
Keyword(s):  
Statistical Mechanics ◽  
Particle Density ◽  
Research Area ◽  
Virial Expansion ◽  
Expansion Formula ◽  
Mayer Expansion ◽  
Gas System ◽  
Gas Molecule ◽  
New Interpretation ◽  
Number Of Particles

A central topic in statistical mechanics, a research area Professor Hao Bailin devoted himself throughout the years, is the study of the state of matter. For a gas system the study begins with an understanding of the equation of state relating the pressure [Formula: see text], volume [Formula: see text] and the temperature [Formula: see text]. In 1901 Onnes introduced the virial expansion [Formula: see text] as an empirical formula expressing [Formula: see text] in a power series of particle density [Formula: see text], where [Formula: see text] is the number of particles. A first-principle understanding of the virial expansion was provided years later by the advent of the Mayer cluster expansion in statistical mechanics in the 1930s. However, following Onnes the virial expansion has since been generally regarded as an expansion in density. Here we re-visit the virial expansion using the Mayer expansion, and show that the virial expansion should be considered as an expansion in specific volume, the ratio of the effective volume of a gas molecule and its allotted mean volume. This consideration is illustrated in the case of the hard sphere gas.

scholarly journals Iterated Mayer expansion for classical gases at low temperatures

1981 ◽  
Vol 81 (1) ◽  
pp. 97-126 ◽  
Author(s):  
Markus Göpfert ◽  
Gerhard Mack
Keyword(s):  
Low Temperatures ◽  
Mayer Expansion
Sign in / Sign up

Export Citation Format

Share Document