On the relation between virial coefficients and the close-packing of hard disks and hard spheres
Por:
Maestre, MAG, Santos A., Robles M., De Haro M.L.
Publicada:
28 feb 2011
Resumen:
The question of whether the known virial coefficients are enough to determine the packing fraction eta(infinity) at which the fluid equation of state of a hard-sphere fluid diverges is addressed. It is found that the information derived from the direct Pade approximants to the compressibility factor constructed with the virial coefficients is inconclusive. An alternative approach is proposed which makes use of the same virial coefficients and of the equation of state in a form where the packing fraction is explicitly given as a function of the pressure. The results of this approach both for hard-disk and hard-sphere fluids, which can straightforwardly accommodate higher virial coefficients when available, lends support to the conjecture that eta(infinity) is equal to the maximum packing fraction corresponding to an ordered crystalline structure.(C) 2011 American Institute of Physics. [doi:10.1063/1.3558779]
Filiaciones:
Santos A.:
Departamento de Física, Universidad de Extremadura, Badajoz 06071, Spain
Robles M.:
Univ Nacl Autonoma Mexico, Ctr Invest Energia, Temixco 62580, Morelos, Mexico
De Haro M.L.:
Univ Nacl Autonoma Mexico, Ctr Invest Energia, Temixco 62580, Morelos, Mexico
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