The fourth virial coefficient for a Lennard-Jones fluid in two dimensions

1978 ◽  
Vol 68 (6) ◽  
pp. 2952 ◽  
Author(s):  
E. D. Glandt
Keyword(s):  
Virial Coefficient ◽  
Two Dimensions ◽  
Lennard Jones

Theoretical Assessment of Compressibility Factor of Gases by Using Second Virial Coefficient

2018 ◽  
Vol 73 (2) ◽  
pp. 121-125
Author(s):  
Bahtiyar A. Mamedov ◽  
Elif Somuncu ◽  
Iskender M. Askerov
Keyword(s):  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Compressibility Factor ◽  
Analytical Approximation ◽  
Accurate Evaluation ◽  
Numerical Examples ◽  
Lennard Jones ◽  
Theoretical Assessment ◽  
Good Agreement

AbstractWe present a new analytical approximation for determining the compressibility factor of real gases at various temperature values. This algorithm is suitable for the accurate evaluation of the compressibility factor using the second virial coefficient with a Lennard–Jones (12-6) potential. Numerical examples are presented for the gases H2, N2, He, CO2, CH4 and air, and the results are compared with other studies in the literature. Our results showed good agreement with the data in the literature. The consistency of the results demonstrates the effectiveness of our analytical approximation for real gases.

Quantum Mechanical Second Virial Coefficient of a Lennard‐Jones Gas. Helium

1969 ◽  
Vol 50 (9) ◽  
pp. 4034-4055 ◽  
Author(s):  
M. E. Boyd ◽  
S. Y. Larsen ◽  
J. E. Kilpatrick
Keyword(s):  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Quantum Mechanical ◽  
Lennard Jones

A critical behavior of the Lennard–Jones dimeric fluid in two-dimensions.

2011 ◽  
Vol 605 (13-14) ◽  
pp. 1219-1223 ◽  
Author(s):  
W. Rżysko ◽  
M. Borówko
Keyword(s):  
Critical Behavior ◽  
Two Dimensions ◽  
Lennard Jones

scholarly journals How close to two dimensions does a Lennard-Jones system need to be to produce a hexatic phase?

2011 ◽  
Vol 135 (5) ◽  
pp. 054514 ◽  
Author(s):  
Nadezhda Gribova ◽  
Axel Arnold ◽  
Tanja Schilling ◽  
Christian Holm
Keyword(s):  
Two Dimensions ◽  
Lennard Jones ◽  
Hexatic Phase

Intermolecular forces and properties of fluid. I. The automatic calculation of higher virial coefficients and some values of the fourth coefficient for the Lennard-Jones potential

1960 ◽  
Vol 254 (1279) ◽  
pp. 487-498 ◽  
Keyword(s):  
Virial Coefficient ◽  
Mathematical Problem ◽  
Virial Coefficients ◽  
Intermolecular Forces ◽  
Lennard Jones Potential ◽  
Intermolecular Potentials ◽  
Jones Potential ◽  
Lennard Jones ◽  
Experimental Values ◽  
First Time

The prediction of the virial coefficients for particular intermolecular potentials is generally regarded as a difficult mathematical problem. Methods have only been available for the second and third coefficient and in fact only few calculations have been made for the latter. Here a new method of successive approximation is introduced which has enabled the fourth virial coefficient to be evaluated for the first time for the Lennard-Jones potential. It is particularly suitable for automatic computation and the values reported here have been obtained by the use of the EDSAC I. The method is applicable to other potentials and some values for these will be reported subsequently. The values obtained cannot yet be compared with any experimental results since these have not been measured, but they can be used in the meantime to obtain more accurate experimental values of the lower coefficients.

scholarly journals Phase behavior of Lennard-Jones particles in two dimensions

2020 ◽  
Vol 102 (6) ◽  
Author(s):  
Yan-Wei Li ◽  
Massimo Pica Ciamarra
Keyword(s):  
Phase Behavior ◽  
Two Dimensions ◽  
Lennard Jones
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