M. Kellomaki et al., EARLY-TIME DYNAMICS OF WAVE-FRONTS IN DISORDERED TRIANGULAR LATTICES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(2), 1998, pp. 1255-1258
The early-time behavior of transient elastic wave fronts is analyzed i
n two-dimensional, randomly bond-diluted triangular lattices composed
of Hooke springs. When the bond probability p similar or equal to 1, t
he wave-front amplitude first oscillates and then begins to decay alge
braically. This power-law decay arises from dispersion. These phenomen
a should both be observable in, e.g., single cystals of fee metals. Fo
r p<0.95, the amplitude decay is caused by disorder and is exponential
with a decay constant alpha similar to(1-p)(1.7). There is a smooth c
rossover between these two types of behaviors. [S1063-651X(98)50702-7]
.