LETTER TO THE EDITOR: Packing of spheroids in three-dimensional space by random sequential addition

Packings of spheroidal particles with semi-axes of length (a,b,b) were generated by random sequential addition (RSA) simulations. As the jamming limit is approached, the volume fraction occupied by particles tends towards an asymptote , which was determined as a function of aspect ratio . This asymptote has a local minimum at (spheres), with local maxima at (prolate spheroids) and (oblate). Values of agree with results from RSA simulations of sphere packings, but lie below volume fractions obtained in simulations of near-spheres packed under gravity. Volume fractions reported for simulations of spheroids packed under gravity vary widely when the aspect ratio is very large or small; differences between these results and the predictions of RSA are discussed.

[1]  R. Swendsen Dynamics of random sequential adsorption , 1981 .

[2]  Asymptotic results for the random sequential addition of unoriented objects. , 1991, Physical review letters.

[3]  Alex Hansen,et al.  Disorder and granular media , 1993 .

[4]  Random sequential adsorption of lines and ellipses , 1990 .

[5]  James W. Evans,et al.  Random and cooperative sequential adsorption , 1993 .

[6]  Jacques Vieillard‐Baron,et al.  Phase Transitions of the Classical Hard‐Ellipse System , 1972 .

[7]  Pierre Schaaf,et al.  Random sequential addition of hard spheres , 1991 .

[8]  R D Vigil,et al.  Kinetics and fractal properties of the random sequential adsorption of line segments , 1990 .

[9]  Paweł,et al.  Random sequential adsorption of spheroidal particles: Kinetics and jamming limit , 1996 .

[10]  R. D. Vigil,et al.  Random sequential adsorption of unoriented rectangles onto a plane , 1989 .

[11]  J. Feder,et al.  Geometry of random sequential adsorption , 1986 .

[12]  Pierre M. Adler,et al.  GEOMETRICAL AND TRANSPORT PROPERTIES OF RANDOM PACKINGS OF SPHERES AND ASPHERICAL PARTICLES , 1997 .

[13]  Talbot,et al.  Unexpected asymptotic behavior in random sequential adsorption of nonspherical particles. , 1989, Physical review. A, General physics.

[14]  Y. Pomeau Some asymptotic estimates in the random parking problem , 1980 .

[15]  R. M. Bradley,et al.  Orientational Order in Amorphous Packings of Ellipsoids , 1994 .

[16]  Pascal Viot,et al.  Random sequential adsorption of anisotropic particles. I. Jamming limit and asymptotic behavior , 1992 .

[17]  A. Kelly,et al.  The random packing of fibres in three dimensions , 1995, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[18]  Albert P. Philipse,et al.  The Random Contact Equation and Its Implications for (Colloidal) Rods in Packings, Suspensions, and Anisotropic Powders , 1996 .