M. Tismenetsky
International Journal of Computer Mathematics
The dynamic structure factor S(q,ω) of the vibrational modes of a deterministic fractal is analyzed as a function of both frequency (ω) and momentum (q) transfer. It is found that S(q,ω) is peaked at qmax≈ω2(2+θ), where θ is the anomalous diffusion exponent, and is a scaling function of q( 2+θ) 2/ω. The results are obtained by a novel recursion method for the calculation of the vibration Green's function of a deterministic fractal. They confirm predictions based upon the fracton scaling model. © 1989.
M. Tismenetsky
International Journal of Computer Mathematics
Elizabeth A. Sholler, Frederick M. Meyer, et al.
SPIE AeroSense 1997
Simeon Furrer, Dirk Dahlhaus
ISIT 2005
Ronen Feldman, Martin Charles Golumbic
Ann. Math. Artif. Intell.