Hard sphere model: Difference between revisions
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Revision as of 12:46, 21 March 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:
- See Carnahan-Starling (three dimensions)
- See Ref.1
Hard sphere solid:
- See Ref. 2
Related systems
Hard disks in a 2-dimensional space
Hard rods in one dimension
Data
Virial coefficients of hard spheres and hard disks
Experimental results
For results obtained from the Colloidal Disorder - Order Transition (CDOT) experiments performed on-board the Space Shuttles Columbia and Discovery see Ref. 3.
References
- Robin J. Speedy "Pressure of the metastable hard-sphere fluid", Journal of Physics: Condensed Matter 9 pp. 8591-8599 (1997)
- Robin J. Speedy "Pressure and entropy of hard-sphere crystals", Journal of Physics: Condensed Matter 10 pp. 4387-4391 (1998)
- Z. Chenga, P. M. Chaikina, W. B. Russelb, W. V. Meyerc, J. Zhub, R. B. Rogersc and R. H. Ottewilld, "Phase diagram of hard spheres", Materials & Design 22 pp. 529-534 (2001)