G. Will, N. Masciocchi, et al.
Zeitschrift fur Kristallographie - New Crystal Structures
We establish the equivalence between a one-dimensional sandpile model recently introduced by Chhabra et al. [Phys. Rev. A (to be published)], and the diffusion-limited reaction A+A0 with a point source. The equivalence is used to predict the power-law decay of the avalanche size distribution, P(s)s-3, in agreement with numerical simulations. This result differs from the mean-field treatment of Chhabra et al., demonstrating the importance of fluctuations in this low-dimensional system. © 1993 The American Physical Society.
G. Will, N. Masciocchi, et al.
Zeitschrift fur Kristallographie - New Crystal Structures
R.M. Macfarlane, R.L. Cone
Physical Review B - CMMP
Kafai Lai, Alan E. Rosenbluth, et al.
SPIE Advanced Lithography 2007
R. Ghez, J.S. Lew
Journal of Crystal Growth