Cell size distribution in random tessellations of space

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 70, Issue 6 2, 2004, Pages

  Pineda, Eloi ^a   Bruna, Pere ^a   Crespo, Daniel ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BIOLOGY; COMPUTER SIMULATION; CRYSTAL STRUCTURE; GEOLOGY; METALLURGY; POISSON DISTRIBUTION; PROBLEM SOLVING; RANDOM PROCESSES;

CELL SIZE DISTRIBUTION; JOHNSON-MEHL CELLULAR STRUCTURES; POISSON-VORONOI CELLULAR STRUCTURE; SIZE PROBABILITY DISTRIBUTION;

APPROXIMATION THEORY;

EID: 41349115028     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.70.066119     Document Type: Article

References (23)

1. D. Stoyan, W. S. Kendall, and J. Mecke, Stochastic Geometry and Its Application (Akademie-Verlag, Berlin, 1989), Chap. 10, p. 260.
2. T. Kiang, Z. Astrophys. 64, 433 (1966).
3. J. L. Finney, J. Mol. Biol. 119, 415 (1978).
4. S. Kumar and S. K. Kurtz, Mater. Charact. 31, 55 (1993).
5. J. L. Meijering, Philips Res. Rep. 8, 270 (1953).
6. E. N. Gilbert, Ann. Math. Stat. 33, 958 (1962).
7. J. D. Axe and Y. Yamada, Phys. Rev. B 34, 1599 (1986).
8. D. Weaire, J. P. Kermode, and J. Weichert, Philos. Mag. B 53, L101 (1986).
9. P. N. Andrade and M. A. Fortes, Philos. Mag. B 58, 671 (1988).
10. Z. Fan, Y. Wu, X. Zhao, and Y. Lu, Comput. Mater. Sci. 29, 301 (2004).
11. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in Fortran: The Art of Scientific Computing (Cambridge University Press, Cambridge, U.K., 1992), Chap. 4.
12. A. Korobov, J. Math. Chem. 24, 261 (1998).
13. J. Moller, Adv. Appl. Probab. 24, 814 (1992).
14. P. A. Mulheran, Philos. Mag. Lett. 66, 219 (1992).
15. S. Kumar, S. K. Kurtz, J. R. Banavar, and M. G. Sharma, J. Stat. Phys. 67, 523 (1992).
16. T. Ohta, D. Jasnow, and K. Kawasaki, Phys. Rev. Lett. 49, 1223 (1982).
17. G. Yu, L. Deng, S. Yuan, and L. Zhang, Z. Metallkd. 87, 508 (1996).
18. M. Avrami, J. Chem. Phys. 7, 1103 (1939).
19. M. Avrami, J. Chem. Phys. 8, 212 (1940).
20. M. Avrami, J. Chem. Phys. 9, 177 (1941).
21. W. A. Johnson and P. A. Mehl, Trans. AIME 135, 416 (1939).
22. A. N. Kolmogorov, Izv. Akad. Nauk SSSR, Ser. Fiz. 3, 355 (1937).
23. G. Yu and J. K. L. Lai, J. Appl. Phys. 79, 3504 (1996).