A New Theory of Fluids: The 'Tunnel' Model

1960 ◽  
Vol 13 (2) ◽  
pp. 187 ◽  
Author(s):  
JA Barker
Keyword(s):  
Thermodynamic Properties ◽  
Hard Sphere ◽  
Cell Model ◽  
New Method ◽  
Virial Expansion ◽  
Cell Theory ◽  
Hard Sphere Fluid ◽  
Tunnel Model

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.

Hard-sphere fluid-to-solid transition and the virial expansion

1983 ◽  
Vol 32 (1) ◽  
pp. 95-104 ◽  
Author(s):  
V. C. Aguilera-Navarro ◽  
M. Fortes ◽  
M. de Llano ◽  
A. Piastino ◽  
J. del Río ◽  
...  
Keyword(s):  
Hard Sphere ◽  
Virial Expansion ◽  
Hard Sphere Fluid

Statistical Geometry and Cavity Correlations in the Hard Sphere Fluid

2008 ◽  
Vol 73 (3) ◽  
pp. 344-357 ◽  
Author(s):  
Robin J. Speedy ◽  
Richard K. Bowles
Keyword(s):  
Computer Simulation ◽  
Thermodynamic Properties ◽  
Hard Sphere ◽  
Hard Spheres ◽  
Sphere Diameter ◽  
Statistical Geometry ◽  
Empirical Expression ◽  
Hard Sphere Fluid ◽  
A Site ◽  
Exact Relations

The statistical geometry of a system of hard spheres is discussed in terms of the volumes Vj that lie with a sphere diameter, σ, of exactly j sphere centres. A site that has no sphere centre within σ is called a cavity site. We focus on the probability n00(r) that two sites separated by r are both cavity sites. n00(0), n00(σ), and the limiting slope (d ln n00(r)/dr)r=0, are all known in terms of the thermodynamic properties. The Vj and n00(r) are measured by computer simulation and an empirical expression, which satisfies the known exact relations, is shown to represent n00(r) precisely in the range 0 ≤ r ≤ σ.

Thermodynamic properties and liquid-gas phase diagram of the dipolar hard-sphere fluid

2007 ◽  
Vol 80 (5) ◽  
pp. 56002 ◽  
Author(s):  
Y. V. Kalyuzhnyi ◽  
I. A. Protsykevytch ◽  
P. T. Cummings
Keyword(s):  
Phase Diagram ◽  
Thermodynamic Properties ◽  
Gas Phase ◽  
Hard Sphere ◽  
Hard Sphere Fluid
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