We identify dynamical heterogeneities as an essential prerequisite for stretched exponential relaxation in dynamically frustrated systems. This heterogeneity takes the form of ordered domains of finite but diverging lifetime for particles in atomic or molecular systems, or spin states in magnetic materials. At the onset of the dynamical heterogeneity, the distribution of time intervals spent in such domains or traps becomes stretched exponential at long times. We rigorously show that once this is the case the autocorrelation function of the renewal process formed by these time intervals is also a stretched exponential at long times.
Physical Review E
68
4
Phys. Rev. E
DOI 10.1103/PhysRevE.68.041110
Simdyankin
S. I.
Mousseau
Normand
Relationship between dynamical heterogeneities and stretched exponential relaxation
journalArticle
041110
October 27, 2003
http://link.aps.org/doi/10.1103/PhysRevE.68.041110
2014-07-17 05:51:06
APS