Cell Model of a Fluid. II. Thermodynamic Properties of the System

1968 ◽  
Vol 9 (11) ◽  
pp. 1957-1975 ◽  
Author(s):  
Ralph G. Tross ◽  
Louis H. Lund
1960 ◽  
Vol 13 (2) ◽  
pp. 187 ◽  
Author(s):  
JA Barker

A new method for calculating the thermodynamic properties of liquids and compressed gases is proposed, based on a model in which lines of molecules move almost one-dimensionally in " tunnels ", the walls of the tunnels being formed by neighbouring lines of molecules. This picture is related to the " cell " model, but it is a disordered picture, as is appropriate in a model for fluids, and the problem of the " communal entropy " which besets the cell model, does not arise. The method is applied to the hard-sphere fluid and the calculated pressure/volume isotherm is in very much better agreement with the expected isotherm than either the cell theory or the superposition theory, and also in rather better agreement than the virial expansion truncated after five terms.


Physica ◽  
1970 ◽  
Vol 49 (1) ◽  
pp. 61-76 ◽  
Author(s):  
A.C. Holt ◽  
W.G. Hoover ◽  
S.G. Gray ◽  
D.R. Shortle

1964 ◽  
Vol 41 (9) ◽  
pp. 2705-2708 ◽  
Author(s):  
Robert D. Reed ◽  
Douglas Henderson

1965 ◽  
Vol 18 (9) ◽  
pp. 1309
Author(s):  
R Chen ◽  
D Henderson ◽  
RD Reed

The velocity of sound is calculated for each of the isotopic forms of liquid hydrogen using the quantum cell model. The velocity of sound increases as the pressure increases and decreases as the temperature increases. Also the reduced velocity of sound decreases as the value of the quantum parameter, Λ*, increases. In addition, the thermodynamic properties of liquid hydrogen compressed by a shock wave are calculated.


1999 ◽  
Vol 63 (6) ◽  
pp. 702-707
Author(s):  
Jun Yamazaki ◽  
Tsuneari Ito ◽  
Hironobu Shoji ◽  
Fumitaka Tsukihashi

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