Equations of state for crystals of hard spheres: Difference between revisions

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The stable phase of hard spheres at high density is thought to have a [[face-centered cubic]] structure.  
The stable phase of the [[hard sphere model]] at high densities is thought to have a [[Building up a face centered cubic lattice |face-centered cubic]] structure.  
A number of equations of state have been proposed for this system. The usual procedure to get precise equations of
A number of [[equations of state]] have been proposed for this system. The usual procedure to obtain precise equations of
state is to fit computer simulation results.  
state is to fit [[Computer simulation techniques | computer simulation]] results.  
 
* Alder, Hoover and Young equation of state (Ref 1)
* Alder et al (Ref 1)
 
* Hall equation of state (Ref 2)
* Hall equation of state (Ref 2)
* Speedy equation of state (Ref 3)
* Speedy equation of state (Ref 3)
==References==
==References==
 
#[http://dx.doi.org/10.1063/1.1670653  B. J. Alder, W. G. Hoover, and D. A. Young "Studies in Molecular Dynamics. V. High-Density Equation of State and Entropy for Hard Disks and Spheres", Journal of Chemical Physics  '''49''' pp 3688- (1968)]
#[http://dx.doi.org/10.1063/1.1670653  B. J. Alder, W. G. Hoover, and D. A. Young,  ''Studies in Molecular Dynamics. V. High-Density Equation of State and Entropy for Hard Disks and Spheres'', J. Chem. Phys. '''49''', 3688 (1968) ]
#[http://dx.doi.org/10.1063/1.1678576  Kenneth R. Hall "Another Hard-Sphere Equation of State", Journal of Chemical Physics  '''57''' pp. 2252- (1972)]
#[http://dx.doi.org/10.1063/1.1678576  Kenneth R. Hall, ''Another Hard-Sphere Equation of State'', J. Chem. Phys. '''5'''7, 2252 (1972) ]
#[http://dx.doi.org/10.1088/0953-8984/10/20/006 Robin J. Speedy "Pressure and entropy of hard-sphere crystals", Journal of  Physics: Condensed Matter '''10''' pp. 4387-4391 (1998)]
#[http://dx.doi.org/10.1088/0953-8984/10/20/006 Robin J. Speedy "Pressure and entropy of hard-sphere crystals", Journal of  Physics: Condensed Matter '''10''' pp.   4387-4391 (1998)]
[[category: equations of state]]

Revision as of 19:55, 11 December 2008

The stable phase of the hard sphere model at high densities is thought to have a face-centered cubic structure. A number of equations of state have been proposed for this system. The usual procedure to obtain precise equations of state is to fit computer simulation results.

  • Alder, Hoover and Young equation of state (Ref 1)
  • Hall equation of state (Ref 2)
  • Speedy equation of state (Ref 3)

References

  1. B. J. Alder, W. G. Hoover, and D. A. Young "Studies in Molecular Dynamics. V. High-Density Equation of State and Entropy for Hard Disks and Spheres", Journal of Chemical Physics 49 pp 3688- (1968)
  2. Kenneth R. Hall "Another Hard-Sphere Equation of State", Journal of Chemical Physics 57 pp. 2252- (1972)
  3. Robin J. Speedy "Pressure and entropy of hard-sphere crystals", Journal of Physics: Condensed Matter 10 pp. 4387-4391 (1998)
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