Searching for the perfect packing

Physica A: Statistical Mechanics and its Applications

Volumn 330, Issue 1-2, 2003, Pages 77-82

  Herrmann, H J ^a   Mahmoodi Baram, R ^a   Wackenhut, M ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

Apollonian packings; Granular packings; Parking lot model; Space filling bearings; Three dimensional packings

Indexed keywords

ALGORITHMS; BEARINGS (MACHINE PARTS); DENSITY (SPECIFIC GRAVITY); PARTICLE SIZE ANALYSIS; ROTATION;

APOLLONIAN PACKINGS; POLYDISPERSE SYSTEMS;

GRANULAR MATERIALS;

EID: 0344549831     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2003.08.023     Document Type: Conference Paper

References (10)

1. de Larrard F. Concrete Mixture Proportioning. 1999;E & FN Spon, London, New York.
2. Nowak E.R., Knight J.B., Ben-Naim E., Jäger H.M., Nagel S.R. Density fluctuations in vibrated granular materials. Phys. Rev. E. 57(2):1998;1971-1982.
3. Knight J.B., Frandich C.G., Ning Lau Chun, Jäger H.M., Nagel S.R. Density relaxation in a vibrated granular material. Phys. Rev. E. 51(1):1995;3957-3963.
4. M. Wackenhut, H.J. Herrmann, Reversible polydisperse parking lot model, Phys. Rev. E 68 (2003), to be published.
5. Boyd D.W. Math. Comput. 27(122):1973;369-377.
6. Borkovec M., de Paris W., Peikert R. The fractal dimension of the Apollonian sphere packing. Fractals. 2(4):1994;521-526.
7. Herrmann H.J., Mantica G., Bessis D. Space filling bearings. Phys. Rev. Lett. 65:1990;3223.
8. R. Mahmoodi Baram, H.J. Herrmann, Self-similar packings in three dimensions, preprint, 2003.
9. R. Mahmoodi Baram, H.J. Herrmann, N. Rivier, Space filling bearings in three dimensions, preprint, 2003.
10. Aste T., Weaire D. The Pursuit of Perfect Packing. 2000;Institute of Physics Publishing, Bristol and Philadelphia.