Hard sphere model: Difference between revisions

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# See [[Carnahan-Starling]] (three dimensions)
# See [[Carnahan-Starling]] (three dimensions)
# See Ref.1
# See Ref.1
Hard sphere solid:
# See Ref. 2


== Related systems ==  
== Related systems ==  

Revision as of 19:15, 27 February 2007

Interaction Potential

The hard sphere interaction potential is given by


where is the potential energy between two spheres at a distance , and is the sphere diameter.

Equations of state

Hard sphere fluid:

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

Hard sphere solid:

  1. 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 "Pressure of the metastable hard-sphere fluid", Journal of Physics: Condensed Matter 9 pp. 8591-8599 (1997)
  2. Robin J. Speedy "Pressure and entropy of hard-sphere crystals", Journal of Physics: Condensed Matter 10 pp. 4387-4391 (1998)