Hard sphere model

Interaction Potential

The hard sphere interaction potential is given by

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where $V\left(r\right)$ is the potential energy between two spheres at a distance Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle r } , and Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \sigma } is the sphere diameter.

Equations of state

Hard sphere fluid equations of state;

1. See Carnahan-Starling (three dimensions)
2. See Ref.2

Related systems

Hard disks in a 2-dimensional space

Hard rods in one dimension

Widom-Rowlinson model

Polydisperse hard spheres

Data

Virial coefficients of hard spheres and hard disks

References

1. Robin J Speedy 1997 J. Phys.: Condens. Matter 9 8591-8599 doi:10.1088/0953-8984/9/41/006