TY - JOUR
T1 - Cross-over from phonons to fractons
AU - Aharony, Amnon
AU - Entin-Wohlman, Ora
AU - Alexander, S.
AU - Orbach, R.
N1 - Funding Information:
ACKNOWLEDGMENTS We enjoyed discussions on experiments with R. J. Birgeneau and E. Courtens. This research was supported in part by grants from the National Science Foundation,
Funding Information:
through grant 84-12898, the US.-Israel Academy of Sciences and Humanities.
PY - 1987/1/1
Y1 - 1987/1/1
N2 - Recent theoretical results concerning the cross-over from phonon-like to fracton-like behaviour of excitations obeying linear equations of motion (for example, vibrational modes or spin waves in antiferromagnets, in systems which are fractal on short length-scales and homogeneous on long scales) are reviewed. Particularly, we discuss the scaling theory for the density of states, the lifetime of excitations due to elastic scattering by structural inhomogeneities, and the structure. factor for scattering from these excitations.
AB - Recent theoretical results concerning the cross-over from phonon-like to fracton-like behaviour of excitations obeying linear equations of motion (for example, vibrational modes or spin waves in antiferromagnets, in systems which are fractal on short length-scales and homogeneous on long scales) are reviewed. Particularly, we discuss the scaling theory for the density of states, the lifetime of excitations due to elastic scattering by structural inhomogeneities, and the structure. factor for scattering from these excitations.
UR - http://www.scopus.com/inward/record.url?scp=0023532997&partnerID=8YFLogxK
U2 - 10.1080/13642818708215330
DO - 10.1080/13642818708215330
M3 - Article
AN - SCOPUS:0023532997
SN - 1364-2812
VL - 56
SP - 949
EP - 955
JO - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
JF - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
IS - 6
ER -