Generalized van der Waals theory. V. Equation of state of two-dimensional simple fluid

1981 ◽  
Vol 34 (9) ◽  
pp. 1819 ◽  
Author(s):  
MA Hooper ◽  
S Nordholm

We have investigated the two-dimensional gas-liquid condensation of a LJ(12-6) system with relevance to monolayer adsorption. A recently developed generalized van der Waals theory has been used to calculate critical parameters, coexistence curves, vapour pressure curves and other thermodynamic information partially as an investigation into the validity of the theory. Two aspects are of particular concern. Firstly, we are interested in the temperature and density dependence of the excluded volume effect. The effective hard-disc diameter is determined variationally so as to minimize the free energy. Secondly, we apply a simple means of quantizing the theory to estimate shifts in the thermodynamic properties of light fluids due to the quantum character of the translational motion. Apparently useful accuracy is obtained.

1980 ◽  
Vol 33 (9) ◽  
pp. 2029 ◽  
Author(s):  
MA Hooper ◽  
S Nordholm

The light gases deviate markedly from the Law of Corresponding States approximately obeyed by the heavier gases. This is due, at least in part, to the quantization of translational motion at higher densities. This effect has been studied within the framework of a generalized van der Waals model. Each particle is treated as moving within a cubic volume determined by the surrounding particles. Changes to the critical parameters and to the shapes of the coexistence and vapour pressure curves are calculated and compare well with experiment, considering the simplicity of our model.


2016 ◽  
Vol 7 (2) ◽  
pp. 66-75 ◽  
Author(s):  
Kazunori Takamiya ◽  
Keisuke Yamamoto ◽  
Shuhei Isami ◽  
Hiraku Nishimori ◽  
Akinori Awazu

1991 ◽  
Vol 51 (3) ◽  
pp. 485-489 ◽  
Author(s):  
D. H. Rischke ◽  
M. I. Gorenstein ◽  
H. St�cker ◽  
W. Greiner

Kobunshi ◽  
1969 ◽  
Vol 18 (2) ◽  
pp. 122-130 ◽  
Author(s):  
Nobuhiro KUWAHARA

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