Relation between grain shape and fractal properties in random apollonian packing with grain rotation

Physical Review Letters

Volumn 101, Issue 12, 2008, Pages

  Delaney, Gary W ^a,b   Hutzler, Stefan ^b   Aste, Tomaso ^a  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b TRINITY COLLEGE DUBLIN   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); GRAIN GROWTH; RANDOM PROCESSES;

ELLIPTICAL SHAPES; FRACTAL PROPERTIES; GRAIN ROTATIONS; GRAIN SHAPES; ORIENTABLE; PACKING MODELS; ROTATIONAL DEGREE OF FREEDOM; SCALING PROPERTIES;

GRAIN (AGRICULTURAL PRODUCT);

EID: 52149090727     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.101.120602     Document Type: Article

References (17)

1. B.B. Mandelbrot, The Fractal Geometry of Nature (Oxford, New York, 1983).
2. N.V. Brilliantov, Y.A. Andrienko, P.L. Krapivsky, and J. Kurths, Phys. Rev. Lett. 76, 4058 (1996). PRLTAO 0031-9007 10.1103/PhysRevLett.76.4058
3. E. Ben-Naim and P.L. Krapivsky, Phys. Rev. E 54, 3562 (1996). PLEEE8 1063-651X 10.1103/PhysRevE.54.3562
4. M. Wackenhut and H. Herrmann, Phys. Rev. E 68, 041303 (2003). PLEEE8 1063-651X 10.1103/PhysRevE.68.041303
5. T. Aste and D. Weaire, The Pursuit of Perfect Packing (Taylor & Francis, Boca Raton, FL, 2008), 2nd ed.
6. S.S. Manna and H.J. Herrmann, J. Phys. A JPHAC5 0305-4470 24, L481 (1991). 10.1088/0305-4470/24/9/006
7. S.S. Manna, Physica (Amsterdam) 187A, 373 (1992). PHYADX 0378-4371 10.1016/0378-4371(92)90001-7
8. N.V. Brilliantov, P.L. Krapivsky, and Y.A. Andrienko, J. Phys. A JPHAC5 0305-4470 27, L381 (1994). 10.1088/0305-4470/27/11/006
9. Y.A. Andrienko, N.V. Brilliantov, and P.L. Krapivsky, J. Stat. Phys. 75, 507 (1994). JSTPSB 0022-4715 10.1007/BF02186870
10. Y.A. Andrienko, N.V. Brilliantov, and J. Kurths, Eur. Phys. J. B 15, 539 (2000). EPJBFY 1434-6028 10.1007/s100510051157
11. P.S. Dodds and J.S. Weitz, Phys. Rev. E 65, 056108 (2002). PLEEE8 1063-651X 10.1103/PhysRevE.65.056108
12. P.S. Dodds and J.S. Weitz, Phys. Rev. E 67, 016117 (2003). PLEEE8 1063-651X 10.1103/PhysRevE.67.016117
13. T. Aste, Phys. Rev. E 53, 2571 (1996). PLEEE8 1063-651X 10.1103/PhysRevE.53.2571
14. R. Mahmoodi Baram and H.J. Herrmann, Phys. Rev. Lett. 95, 224303 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.224303
15. J.S. Andrade, H.J. Herrmann, R.F.S. Andrade, and L.R. da Silva, Phys. Rev. Lett. 94, 018702 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.018702
16. G. Delaney, D. Weaire, S. Hutzler, and S. Murphy, Philos. Mag. Lett. 85, 89 (2005). PMLEEG 0950-0839 10.1080/09500830500080763
17. A. Donev, I. Cisse, D. Sachs, E. Variano, F.H. Stillinger, R. Connelly, S. Torquato, and P.M. Chaikin, Science 303, 990 (2004). SCIEAS 0036-8075 10.1126/science.1093010